mfem Namespace Reference

Namespaces
namespace	ad
namespace	bin_io
namespace	blocksolvers
namespace	ceed
namespace	common
namespace	cubit
namespace	DivFreeBasis
namespace	ElasticityKernels
namespace	electromagnetics
namespace	Ginkgo
namespace	KDTreeNorms
namespace	KernelHelpers
namespace	kernels
namespace	navier
namespace	petsc
namespace	slepc
namespace	spde
namespace	SubMeshUtils
namespace	superlu
namespace	TmplPoly_1D
namespace	TransferKernels
namespace	vtk_xml

Classes
class	AB1Solver
class	AB2Solver
class	AB3Solver
class	AB4Solver
class	AB5Solver
class	AbstractErrorEstimator
	Base class for all error estimators. More...
class	AbstractSparseMatrix
	Abstract data type for sparse matrices. More...
class	AdamsBashforthSolver
class	AdamsMoultonSolver
class	AdaptivityEvaluator
class	ADIOS2DataCollection
class	adios2stream
class	AdvectionFlux
class	AdvectionOper
class	AdvectorCG
class	AlgoimIntegrationRule
class	AM0Solver
class	AM1Solver
class	AM2Solver
class	AM3Solver
class	AM4Solver
class	AmgXSolver
	MFEM wrapper for Nvidia's multigrid library, AmgX (github.com/NVIDIA/AMGX) More...
class	AnalyticAdaptTC
class	AnisotropicErrorEstimator
	The AnisotropicErrorEstimator class is the base class for all error estimators that compute one non-negative real (double) number and an anisotropic flag for every element in the Mesh. More...
class	ARKStepSolver
	Interface to ARKode's ARKStep module – additive Runge-Kutta methods. More...
class	Array
class	Array2D
	Dynamic 2D array using row-major layout. More...
class	Array3D
class	ArraysByName
struct	AssignOp
class	AttributeSets
struct	AutoSIMD
struct	AutoSIMD< double, 2, 16 >
struct	AutoSIMD< double, 4, 32 >
struct	AutoSIMD< double, 8, 64 >
struct	AutoSIMDTraits
class	AuxSpaceSmoother
class	AverageAccelerationSolver
	The classical midpoint method. More...
struct	Backend
	MFEM backends. More...
class	BackwardEulerSolver
	Backward Euler ODE solver. L-stable. More...
class	BaseKDTreeNodalProjection
	Base class for KDTreeNodalProjection. More...
class	BaseQFunction
	Base class for representing function at integration points. More...
class	BasisType
	Possible basis types. Note that not all elements can use all BasisType(s). More...
class	BatchedLOR_ADS
class	BatchedLOR_AMS
class	BatchedLOR_H1
class	BatchedLOR_ND
class	BatchedLOR_RT
class	BatchedLORAssembly
	Efficient batched assembly of LOR discretizations on device. More...
class	BatchedLORKernel
	Abstract base class for the batched LOR assembly kernels. More...
class	BellSpacingFunction
	Bell spacing function, which produces spacing resembling a Bell curve. More...
class	BiCGSTABSolver
	BiCGSTAB method. More...
class	BiCubic2DFiniteElement
	A 2D bi-cubic element on a square with uniformly spaces nodes. More...
class	BiCubic3DFiniteElement
	Class for cubic FE on wedge. More...
class	BiLinear2DFiniteElement
	A 2D bi-linear element on a square with nodes at the vertices of the square. More...
class	BiLinear3DFiniteElement
	Class for linear FE on wedge. More...
class	BilinearForm
	A "square matrix" operator for the associated FE space and BLFIntegrators The sum of all the BLFIntegrators can be used form the matrix M. This class also supports other assembly levels specified via the SetAssemblyLevel() function. More...
class	BilinearFormExtension
	Class extending the BilinearForm class to support different AssemblyLevels. More...
class	BilinearFormIntegrator
	Abstract base class BilinearFormIntegrator. More...
class	BiQuad2DFiniteElement
	A 2D bi-quadratic element on a square with uniformly spaced nodes. More...
class	BiQuadPos2DFiniteElement
class	BiQuadratic3DFiniteElement
	Class for quadratic FE on wedge. More...
class	BlockArray
class	BlockDiagonalPreconditioner
	A class to handle Block diagonal preconditioners in a matrix-free implementation. More...
class	BlockFESpaceOperator
	Operator for block systems arising from different arbitrarily many finite element spaces. More...
class	BlockILU
class	BlockLowerTriangularPreconditioner
	A class to handle Block lower triangular preconditioners in a matrix-free implementation. More...
class	BlockMatrix
class	BlockNonlinearForm
	A class representing a general block nonlinear operator defined on the Cartesian product of multiple FiniteElementSpaces. More...
class	BlockNonlinearFormIntegrator
class	BlockOperator
	A class to handle Block systems in a matrix-free implementation. More...
class	BlockStaticCondensation
	Class that performs static condensation of interior dofs for multiple FE spaces. This class is used in class DPGWeakFrom. It is suitable for systems resulting from the discretization of multiple FE spaces. It eliminates the dofs associated with the interior of the elements and returns the reduced system which contains only the interfacial dofs. The ordering of the dofs in the matrix is implied by the ordering given by the FE spaces, but there is no assumption on the ordering of the FE spaces. This class handles both serial and parallel FE spaces. More...
class	BlockVector
	A class to handle Vectors in a block fashion. More...
class	BoundaryFlowIntegrator
class	BoundaryLFIntegrator
	Class for boundary integration \( L(v) := (g, v) \). More...
class	BoundaryMassIntegrator
class	BoundaryNormalLFIntegrator
	Class for boundary integration \( L(v) = (g \cdot n, v) \). More...
class	BoundaryTangentialLFIntegrator
	Class for boundary integration \( L(v) = (g \cdot \tau, v) \) in 2D. More...
class	BurgersFlux
class	CartesianCoefficient
class	CartesianPML
	Class for setting up a simple Cartesian PML region. More...
class	CartesianXCoefficient
	Scalar coefficient which returns the x-component of the evaluation point. More...
class	CartesianYCoefficient
	Scalar coefficient which returns the y-component of the evaluation point. More...
class	CartesianZCoefficient
	Scalar coefficient which returns the z-component of the evaluation point. More...
class	CentralDifferenceSolver
class	CGSolver
	Conjugate gradient method. More...
class	ChangeOfBasis_L2
	Change of basis operator between L2 spaces. More...
class	ChangeOfBasis_RT
class	CholeskyFactors
struct	CoarseFineTransformations
	Defines the coarse-fine transformations of all fine elements. More...
class	Coefficient
	Base class Coefficients that optionally depend on space and time. These are used by the BilinearFormIntegrator, LinearFormIntegrator, and NonlinearFormIntegrator classes to represent the physical coefficients in the PDEs that are being discretized. This class can also be used in a more general way to represent functions that don't necessarily belong to a FE space, e.g., to project onto GridFunctions to use as initial conditions, exact solutions, etc. See, e.g., ex4 or ex22 for these uses. More...
class	CoefficientRefiner
	Refinement operator to control data oscillation. More...
class	CoefficientVector
	Class to represent a coefficient evaluated at quadrature points. More...
struct	ColumnMajorLayout2D
struct	ColumnMajorLayout3D
struct	ColumnMajorLayout4D
class	ComplexBlockStaticCondensation
	Class that performs static condensation of interior dofs for multiple FE spaces for complex systems (see BlockStaticCondensation). It's used by the class ComplexDPGWeakForm. More...
class	ComplexCholeskyFactors
class	ComplexDenseMatrix
	Specialization of the ComplexOperator built from a pair of Dense Matrices. The purpose of this specialization is to support the inverse of a ComplexDenseMatrix and various MatMat operations See ComplexOperator documentation for more information. More...
class	ComplexDPGWeakForm
	Class representing the DPG weak formulation for complex valued systems (see the class DPGWeakForm). More...
class	ComplexFactors
class	ComplexGridFunction
class	ComplexHypreParMatrix
	Specialization of the ComplexOperator built from a pair of HypreParMatrices. More...
class	ComplexLinearForm
class	ComplexLUFactors
class	ComplexOperator
	Mimic the action of a complex operator using two real operators. More...
class	ComplexSparseMatrix
	Specialization of the ComplexOperator built from a pair of Sparse Matrices. More...
class	ComplexUMFPackSolver
	Interface with UMFPack solver specialized for ComplexSparseMatrix This approach avoids forming a monolithic SparseMatrix which leads to increased memory and flops. More...
class	ConduitDataCollection
	Data collection that uses the Conduit Mesh Blueprint specification. More...
class	ConformingFaceRestriction
	Operator that extracts face degrees of freedom for H1, ND, or RT FiniteElementSpaces. More...
class	ConformingProlongationOperator
	Auxiliary class used by ParFiniteElementSpace. More...
struct	Connection
	Helper struct for defining a connectivity table, see Table::MakeFromList. More...
class	ConservativeConvectionIntegrator
	\(-\alpha (u, q \cdot \nabla v)\), negative transpose of ConvectionIntegrator More...
class	Const2DFECollection
	Piecewise-constant discontinuous finite elements in 2D. This class is kept only for backward compatibility, consider using L2_FECollection instead. More...
class	Const3DFECollection
	Piecewise-constant discontinuous finite elements in 3D. This class is kept only for backward compatibility, consider using L2_FECollection instead. More...
class	ConstantCoefficient
	A coefficient that is constant across space and time. More...
class	ConstrainedOperator
	Square Operator for imposing essential boundary conditions using only the action, Mult(), of a given unconstrained Operator. More...
class	ConstrainedSolver
	An abstract class to solve the constrained system \( Ax = f \) subject to the constraint \( B x = r \). More...
class	ConvectionIntegrator
	\(\alpha (Q \cdot \nabla u, v)\) More...
class	ConvectiveVectorConvectionNLFIntegrator
class	ConvergenceStudy
	Class to compute error and convergence rates. It supports H1, H(curl) (ND elements), H(div) (RT elements) and L2 (DG). More...
class	CPardisoSolver
	MKL Parallel Direct Sparse Solver for Clusters. More...
class	CrossCrossCoefficient
	Matrix coefficient defined as -a k x k x, for a vector k and scalar a. More...
class	CrouzeixRaviartFECollection
	Crouzeix-Raviart nonconforming elements in 2D. More...
class	CrouzeixRaviartFiniteElement
	A 2D Crouzeix-Raviart element on triangle. More...
class	CrouzeixRaviartQuadFiniteElement
	A 2D Crouzeix-Raviart finite element on square. More...
class	Cubic1DFiniteElement
	A 1D cubic element with uniformly spaced nodes. More...
class	Cubic2DFiniteElement
	A 2D cubic element on a triangle with uniformly spaced nodes. More...
class	Cubic3DFiniteElement
class	CubicDiscont2DFECollection
	Piecewise-cubic discontinuous finite elements in 2D. This class is kept only for backward compatibility, consider using L2_FECollection instead. More...
class	CubicFECollection
	Piecewise-(bi)cubic continuous finite elements. More...
class	CurlCurlIntegrator
	Integrator for \((\mathrm{curl}(u), \mathrm{curl}(v))\) for Nedelec elements. More...
class	CurlGridFunctionCoefficient
	Vector coefficient defined as the Curl of a vector GridFunction. More...
class	CurlInterpolator
class	Cut
	All subclasses of Cut will implement intersection routines and quadrature point generation within the cut in the intersection of two elements. Although, this class is designed to support MortarAssembler and ParMortarAssembler, it can be used for any problem requiring to perform Petrov-Galerkin formulations on non-matching elements. More...
class	CutIntegrationRules
	Abstract class for construction of IntegrationRules in cut elements. More...
struct	CuWrap
struct	CuWrap< 1 >
struct	CuWrap< 2 >
struct	CuWrap< 3 >
class	CVODESolver
	Interface to the CVODE library – linear multi-step methods. More...
class	CVODESSolver
class	CylindricalAzimuthalCoefficient
class	CylindricalRadialCoefficient
class	DataCollection
class	DeltaCoefficient
	Delta function coefficient optionally multiplied by a weight coefficient and a scaled time dependent C-function. More...
class	DeltaLFIntegrator
	Abstract class for integrators that support delta coefficients. More...
class	DenseMatrix
	Data type dense matrix using column-major storage. More...
class	DenseMatrixEigensystem
class	DenseMatrixGeneralizedEigensystem
class	DenseMatrixInverse
class	DenseMatrixSVD
	Class for Singular Value Decomposition of a DenseMatrix. More...
class	DenseSymmetricMatrix
class	DenseTensor
	Rank 3 tensor (array of matrices) More...
class	DerivativeIntegrator
	Class for integrating \( (Q \partial_i(u), v) \) where \(u\) and \(v\) are scalars. More...
class	DeterminantCoefficient
	Scalar coefficient defined as the determinant of a matrix coefficient. More...
class	Device
	The MFEM Device class abstracts hardware devices such as GPUs, as well as programming models such as CUDA, OCCA, RAJA and OpenMP. More...
class	DeviceConformingProlongationOperator
	Auxiliary device class used by ParFiniteElementSpace. More...
struct	DeviceDofQuadLimits
	Maximum number of 1D DOFs or quadrature points for the current runtime configuration of the Device (used in fallback kernels). More...
class	DeviceTensor
	A basic generic Tensor class, appropriate for use on the GPU. More...
class	DG_Interface_FECollection
class	DGDiffusionBR2Integrator
class	DGDiffusionIntegrator
class	DGDirichletLFIntegrator
class	DGElasticityDirichletLFIntegrator
class	DGElasticityIntegrator
class	DGHyperbolicConservationLaws
	Time dependent DG operator for hyperbolic conservation laws. More...
class	DGIndexer
class	DGMassInverse
	Solver for the discontinuous Galerkin mass matrix. More...
class	DGTraceIntegrator
class	DiffMappedGridFunctionCoefficient
	Returns f(u(x)) - f(v(x)) where u, v are scalar GridFunctions and f:R → R. More...
class	DiffusionIntegrator
class	DiffusionObjIntegrator
class	DiffusionSolver
	Class for solving Poisson's equation: More...
class	DirectSubBlockSolver
	Block diagonal solver for A, each block is inverted by direct solver. More...
class	DiscreteAdaptTC
class	DiscreteInterpolator
class	DiscreteLinearOperator
class	DiscreteUpwindLOSolver
class	DivDivIntegrator
	\((Q \nabla \cdot u, \nabla \cdot v)\) for Raviart-Thomas elements More...
class	DivergenceGridFunctionCoefficient
	Scalar coefficient defined as the Divergence of a vector GridFunction. More...
class	DivergenceInterpolator
class	DofToQuad
	Structure representing the matrices/tensors needed to evaluate (in reference space) the values, gradients, divergences, or curls of a FiniteElement at the quadrature points of a given IntegrationRule. More...
class	DofTransformation
class	DomainLFGradIntegrator
	Class for domain integrator \( L(v) := (f, \nabla v) \). More...
class	DomainLFIntegrator
	Class for domain integration \( L(v) := (f, v) \). More...
class	DPGWeakForm
	Class representing the DPG weak formulation. Given the variational formulation a(u,v) = b(v), (or A u = b, where <Au,v> = a(u,v)) this class forms the DPG linear system A^T G^-1 A u = A^T G^-1 b This system results from the minimum residual formulation u = argmin_w ||G^-1(b - Aw)||. Here G is a symmetric positive definite matrix resulting from the discretization of the Riesz operator on the test space. Since the test space is broken (discontinuous), G is defined and inverted element-wise and the assembly of the global system is performed in the same manner as the standard FEM method. Note that DPGWeakForm can handle multiple Finite Element spaces. More...
class	DSmoother
	Data type for scaled Jacobi-type smoother of sparse matrix. More...
class	DSTable
class	DynamicVectorLayout
class	EABilinearFormExtension
	Data and methods for element-assembled bilinear forms. More...
class	Edge
	Class that implements an edge defined by a start and end point. More...
class	ElasticityComponentIntegrator
	Integrator that computes the PA action of one of the blocks in an ElasticityIntegrator, considering the elasticity operator as a dim x dim block operator. More...
class	ElasticityDiagonalPreconditioner
	ElasticityDiagonalPreconditioner acts as a matrix-free preconditioner for ElasticityOperator. More...
class	ElasticityGradientOperator
	ElasticityGradientOperator is a wrapper class to pass ElasticityOperator::AssembleGradientDiagonal and ElasticityOperator::GradientMult as a separate object through NewtonSolver. More...
class	ElasticityIntegrator
class	ElasticityOperator
class	Element
	Abstract data type element. More...
class	ElementDofIndexer
class	ElementRestriction
	Operator that converts FiniteElementSpace L-vectors to E-vectors. More...
class	ElementRestrictionOperator
	Abstract base class that defines an interface for element restrictions. More...
class	ElementTransformation
class	EliminationCGSolver
class	EliminationGMRESSolver
class	EliminationProjection
class	EliminationSolver
	Solve constrained system by eliminating the constraint; see ConstrainedSolver. More...
class	Eliminator
	Perform elimination of a single constraint. More...
struct	Embedding
	Defines the position of a fine element within a coarse element. More...
class	ErrorEstimator
	Base class for all element based error estimators. More...
class	ErrorException
	Exception class thrown when MFEM encounters an error and the current ErrorAction is set to MFEM_ERROR_THROW. More...
class	ESDIRK32Solver
class	ESDIRK33Solver
class	EulerFlux
class	ExplicitRKSolver
class	Extrapolator
class	ExtrudeCoefficient
	Class used for extruding scalar GridFunctions. More...
class	FABilinearFormExtension
	Data and methods for fully-assembled bilinear forms. More...
class	FaceElementTransformations
	A specialized ElementTransformation class representing a face and its two neighboring elements. More...
class	FaceGeometricFactors
	Structure for storing face geometric factors: coordinates, Jacobians, determinants of the Jacobians, and normal vectors. More...
class	FaceNeighborGeometricFactors
	Class for accessing the geometric factors of face neighbor elements (i.e. across boundaries of MPI mesh partitions). More...
class	FaceQuadratureInterpolator
	A class that performs interpolation from a face E-vector to quadrature point values and/or derivatives (Q-vectors) on the faces. More...
class	FaceQuadratureSpace
	Class representing the storage layout of a FaceQuadratureFunction. More...
class	FaceRestriction
	Base class for operators that extracts Face degrees of freedom. More...
class	Factors
class	FGMRESSolver
	FGMRES method. More...
class	FieldEvaluator
	complex_t - dof/qpt data type, real_t - ShapeEvaluator (FE basis) data type More...
class	FieldEvaluator_base
	Field evaluators – values of a given global FE grid function This is roughly speaking a templated version of GridFunction. More...
class	FindPointsGSLIB
	FindPointsGSLIB can robustly evaluate a GridFunction on an arbitrary collection of points. There are three key functions in FindPointsGSLIB: More...
class	FiniteElement
	Abstract class for all finite elements. More...
class	FiniteElementCollection
	Collection of finite elements from the same family in multiple dimensions. This class is used to match the degrees of freedom of a FiniteElementSpace between elements, and to provide the finite element restriction from an element to its boundary. More...
class	FiniteElementSpace
	Class FiniteElementSpace - responsible for providing FEM view of the mesh, mainly managing the set of degrees of freedom. More...
class	FiniteElementSpaceHierarchy
class	FluxFunction
	Abstract class for hyperbolic flux for a system of hyperbolic conservation laws. More...
class	FMSDataCollection
	Data collection that uses FMS. More...
class	ForwardEulerSolver
	The classical forward Euler method. More...
class	FoxGoodwinSolver
class	FunctionCoefficient
	A general function coefficient. More...
class	FunctionSpace
	Describes the function space on each element. More...
class	GaussBiLinear2DFiniteElement
	A 2D bi-linear element on a square with nodes at the "Gaussian" points. More...
class	GaussBiQuad2DFiniteElement
	A 2D bi-quadratic element on a square with nodes at the 9 "Gaussian" points. More...
class	GaussianSpacingFunction
	Gaussian spacing function of the general form g(x) = a exp(-(x-m)^2 / c^2) for some scalar parameters a, m, c. More...
class	GaussIntegrationRule
class	GaussLinear2DFiniteElement
	A linear element on a triangle with nodes at the 3 "Gaussian" points. More...
class	GaussLinearDiscont2DFECollection
	Version of LinearDiscont2DFECollection with dofs in the Gaussian points. More...
class	GaussQuad2DFiniteElement
	A quadratic element on triangle with nodes at the "Gaussian" points. More...
class	GaussQuadraticDiscont2DFECollection
	Version of QuadraticDiscont2DFECollection with dofs in the Gaussian points. More...
class	GeneralAMS
	Perform AMS cycle with generic Operator objects. More...
class	GeneralizedAlpha2Solver
class	GeneralizedAlphaSolver
class	GenericIntegrationRule
class	GeometricFactors
	Structure for storing mesh geometric factors: coordinates, Jacobians, and determinants of the Jacobians. More...
class	GeometricMultigrid
	Geometric multigrid associated with a hierarchy of finite element spaces. More...
class	GeometricSpacingFunction
	Geometric spacing function. More...
class	Geometry
class	GeometryRefiner
class	GMRESSolver
	GMRES method. More...
class	GnuTLS_global_state
class	GnuTLS_session_params
class	GnuTLS_socketbuf
class	GnuTLS_status
class	GradComponentCoeff
class	GradientGridFunctionCoefficient
	Vector coefficient defined as the Gradient of a scalar GridFunction. More...
class	GradientIntegrator
class	GradientInterpolator
class	GridFunction
	Class for grid function - Vector with associated FE space. More...
class	GridFunctionCoefficient
	Coefficient defined by a GridFunction. This coefficient is mesh dependent. More...
class	GridFunctionPumi
	Class for PUMI grid functions. More...
class	GridTransfer
	Base class for transfer algorithms that construct transfer Operators between two finite element (FE) spaces. More...
class	GroupCommunicator
	Communicator performing operations within groups defined by a GroupTopology with arbitrary-size data associated with each group. More...
class	GroupConvectionIntegrator
	\(\alpha (Q \cdot \nabla u, v)\) using the "group" FE discretization More...
class	GroupTopology
class	GSSmoother
	Data type for Gauss-Seidel smoother of sparse matrix. More...
class	H1_FECollection
	Arbitrary order H1-conforming (continuous) finite elements. More...
class	H1_FiniteElement
class	H1_FiniteElement< Geometry::CUBE, P >
class	H1_FiniteElement< Geometry::SEGMENT, P >
class	H1_FiniteElement< Geometry::SQUARE, P >
class	H1_FiniteElement< Geometry::TETRAHEDRON, P >
class	H1_FiniteElement< Geometry::TRIANGLE, P >
class	H1_FiniteElementSpace
class	H1_HexahedronElement
	Arbitrary order H1 elements in 3D on a cube. More...
class	H1_QuadrilateralElement
	Arbitrary order H1 elements in 2D on a square. More...
class	H1_SegmentElement
	Arbitrary order H1 elements in 1D. More...
class	H1_TetrahedronElement
	Arbitrary order H1 elements in 3D on a tetrahedron. More...
class	H1_Trace_FECollection
	Arbitrary order "H^{1/2}-conforming" trace finite elements defined on the interface between mesh elements (faces,edges,vertices); these are the trace FEs of the H1-conforming FEs. More...
class	H1_TriangleElement
	Arbitrary order H1 elements in 2D on a triangle. More...
class	H1_WedgeElement
	Arbitrary order H1 elements in 3D on a wedge. More...
class	H1Pos_FECollection
	Arbitrary order H1-conforming (continuous) finite elements with positive basis functions. More...
class	H1Pos_HexahedronElement
	Arbitrary order H1 elements in 3D utilizing the Bernstein basis on a cube. More...
class	H1Pos_QuadrilateralElement
	Arbitrary order H1 elements in 2D utilizing the Bernstein basis on a square. More...
class	H1Pos_SegmentElement
	Arbitrary order H1 elements in 1D utilizing the Bernstein basis. More...
class	H1Pos_TetrahedronElement
class	H1Pos_TriangleElement
	Arbitrary order H1 elements in 2D utilizing the Bernstein basis on a triangle. More...
class	H1Pos_WedgeElement
	Arbitrary order H1 elements in 3D utilizing the Bernstein basis on a wedge. More...
class	H1Ser_FECollection
class	H1Ser_QuadrilateralElement
	Arbitrary order H1 serendipity elements in 2D on a quad. More...
struct	Hashed2
struct	Hashed4
class	HashFunction
	Hash function for data sequences. More...
class	HashTable
class	HdivSaddlePointSolver
	Solve the H(div) saddle-point system using MINRES with matrix-free block-diagonal preconditioning. More...
class	Hexahedron
	Data type hexahedron element. More...
class	HHTAlphaSolver
class	HiopNlpOptimizer
	Adapts the HiOp functionality to the MFEM OptimizationSolver interface. More...
class	HiopOptimizationProblem
	Internal class - adapts the OptimizationProblem class to HiOp's interface. More...
class	HiOpProblem
	Users can inherit this class to access to HiOp-specific functionality. More...
struct	HipWrap
struct	HipWrap< 1 >
struct	HipWrap< 2 >
struct	HipWrap< 3 >
class	Hybridization
	Auxiliary class Hybridization, used to implement BilinearForm hybridization. More...
class	HyperbolicFormIntegrator
	Abstract hyperbolic form integrator, (F(u, x), ∇v) and (F̂(u±, x, n)) More...
class	HyperelasticModel
	Abstract class for hyperelastic models. More...
class	HyperelasticNLFIntegrator
class	Hypre
	A simple singleton class for hypre's global settings, that 1) calls HYPRE_Init() and sets some GPU-relevant options at construction and 2) calls HYPRE_Finalize() at destruction. More...
class	HypreADS
	The Auxiliary-space Divergence Solver in hypre. More...
class	HypreAME
class	HypreAMS
	The Auxiliary-space Maxwell Solver in hypre. More...
class	HypreBoomerAMG
	The BoomerAMG solver in hypre. More...
class	HypreDiagScale
	Jacobi preconditioner in hypre. More...
class	HypreEuclid
class	HypreFGMRES
	Flexible GMRES solver in hypre. More...
class	HypreGMRES
	GMRES solver in hypre. More...
class	HypreIdentity
	The identity operator as a hypre solver. More...
class	HypreILU
	Wrapper for Hypre's native parallel ILU preconditioner. More...
class	HypreLOBPCG
class	HypreParaSails
	The ParaSails preconditioner in hypre. More...
class	HypreParMatrix
	Wrapper for hypre's ParCSR matrix class. More...
class	HypreParVector
	Wrapper for hypre's parallel vector class. More...
class	HyprePCG
	PCG solver in hypre. More...
class	HypreSmoother
	Parallel smoothers in hypre. More...
class	HypreSolver
	Abstract class for hypre's solvers and preconditioners. More...
class	HypreTriSolve
class	IdentityInterpolator
class	IdentityMatrixCoefficient
	Constant matrix coefficient defined as the identity of dimension d. More...
class	IdentityOperator
	Identity Operator I: x -> x. More...
class	ifgzstream
class	ImplicitMidpointSolver
	Implicit midpoint method. A-stable, not L-stable. More...
class	IncompressibleNeoHookeanIntegrator
class	Init
	A class to initialize the size of a Tensor. More...
class	Init< Dim, Dim, T, Args... >
class	InnerProductCoefficient
	Scalar coefficient defined as the inner product of two vector coefficients. More...
class	IntegerSet
	A set of integers. More...
class	IntegrationPoint
	Class for integration point with weight. More...
class	IntegrationPointTransformation
class	IntegrationRule
	Class for an integration rule - an Array of IntegrationPoint. More...
class	IntegrationRules
	Container class for integration rules. More...
struct	InterpConfig
class	InterpolationGridTransfer
	Transfer data between a coarse mesh and an embedded refined mesh using interpolation. More...
class	InterpolationManager
	This class manages the storage and computation of the interpolations from master (coarse) face to slave (fine) face. More...
class	InterpolatorFP
struct	IntRuleCoefficient
class	InvariantsEvaluator2D
	Auxiliary class for evaluating the 2x2 matrix invariants and their first and second derivatives. More...
class	InvariantsEvaluator3D
	Auxiliary class for evaluating the 3x3 matrix invariants and their first and second derivatives. More...
class	InverseElementTransformation
	The inverse transformation of a given ElementTransformation. More...
class	InverseHarmonicModel
class	InverseIntegrator
	Integrator that inverts the matrix assembled by another integrator. More...
class	InverseMatrixCoefficient
	Matrix coefficient defined as the inverse a matrix coefficient. More...
class	isockstream
class	IsoparametricTransformation
	A standard isoparametric element transformation. More...
class	IterativeSolver
	Abstract base class for iterative solver. More...
class	IterativeSolverMonitor
	Abstract base class for an iterative solver monitor. More...
class	JumpScaling
class	KDTree
class	KDTreeBase
	Abstract base class for KDTree. Can be used when the dimension of the space is known dynamically. More...
class	KDTreeNodalProjection
class	KellyErrorEstimator
	The KellyErrorEstimator class provides a fast error indication strategy for smooth scalar parallel problems. More...
class	KINSolver
	Interface to the KINSOL library – nonlinear solver methods. More...
class	KLUSolver
	Direct sparse solver using KLU. More...
class	KnotVector
class	L2_FECollection
	Arbitrary order "L2-conforming" discontinuous finite elements. More...
class	L2_FiniteElement
class	L2_FiniteElement< Geometry::CUBE, P >
class	L2_FiniteElement< Geometry::SEGMENT, P >
class	L2_FiniteElement< Geometry::SQUARE, P >
class	L2_FiniteElement< Geometry::TETRAHEDRON, P >
class	L2_FiniteElement< Geometry::TRIANGLE, P >
class	L2_FiniteElement_base
class	L2_FiniteElementSpace
class	L2_HexahedronElement
	Arbitrary order L2 elements in 3D on a cube. More...
class	L2_QuadrilateralElement
	Arbitrary order L2 elements in 2D on a square. More...
class	L2_SegmentElement
	Arbitrary order L2 elements in 1D on a segment. More...
class	L2_TetrahedronElement
	Arbitrary order L2 elements in 3D on a tetrahedron. More...
class	L2_TriangleElement
	Arbitrary order L2 elements in 2D on a triangle. More...
class	L2_WedgeElement
	Arbitrary order L2 elements in 3D on a wedge. More...
class	L2ElementRestriction
	Operator that converts L2 FiniteElementSpace L-vectors to E-vectors. More...
class	L2FaceRestriction
	Operator that extracts Face degrees of freedom for L2 spaces. More...
class	L2MortarIntegrator
	Integrator for scalar finite elements. More...
class	L2NormalDerivativeFaceRestriction
	Class to compute face normal derivatives (in reference coordinate) of an L2 grid function (used internally by L2FaceRestriction). More...
class	L2Pos_HexahedronElement
	Arbitrary order L2 elements in 3D utilizing the Bernstein basis on a cube. More...
class	L2Pos_QuadrilateralElement
	Arbitrary order L2 elements in 2D utilizing the Bernstein basis on a square. More...
class	L2Pos_SegmentElement
	Arbitrary order L2 elements in 1D utilizing the Bernstein basis on a segment. More...
class	L2Pos_TetrahedronElement
class	L2Pos_TriangleElement
	Arbitrary order L2 elements in 2D utilizing the Bernstein basis on a triangle. More...
class	L2Pos_WedgeElement
	Arbitrary order L2 elements in 3D utilizing the Bernstein basis on a wedge. More...
class	L2ProjectionGridTransfer
	Transfer data in L2 and H1 finite element spaces between a coarse mesh and an embedded refined mesh using L2 projection. More...
class	L2ZienkiewiczZhuEstimator
	The L2ZienkiewiczZhuEstimator class implements the Zienkiewicz-Zhu error estimation procedure where the flux averaging is replaced by a global L2 projection (requiring a mass matrix solve). More...
class	Lagrange1DFiniteElement
	A 1D element with uniform nodes. More...
class	LagrangeHexFiniteElement
	Tensor products of 1D Lagrange1DFiniteElement (only degree 2 is functional) More...
class	LBFGSSolver
class	LevelSetNormalGradCoeff
class	Linear1DFiniteElement
	A 1D linear element with nodes on the endpoints. More...
class	Linear2DFiniteElement
	A 2D linear element on triangle with nodes at the vertices of the triangle. More...
class	Linear3DFiniteElement
	A 3D linear element on a tetrahedron with nodes at the vertices of the tetrahedron. More...
class	LinearAccelerationSolver
class	LinearDiscont2DFECollection
	Piecewise-linear discontinuous finite elements in 2D. This class is kept only for backward compatibility, consider using L2_FECollection instead. More...
class	LinearDiscont3DFECollection
	Piecewise-linear discontinuous finite elements in 3D. This class is kept only for backward compatibility, consider using L2_FECollection instead. More...
class	LinearElasticitySolver
	Class for solving linear elasticity: More...
class	LinearFECollection
	Piecewise-(bi/tri)linear continuous finite elements. More...
class	LinearForm
	Vector with associated FE space and LinearFormIntegrators. More...
class	LinearFormExtension
	Class extending the LinearForm class to support assembly on devices. More...
class	LinearFormIntegrator
	Abstract base class LinearFormIntegrator. More...
class	LinearNonConf3DFECollection
	Piecewise-linear nonconforming finite elements in 3D. More...
class	LinearPyramidFiniteElement
	A linear element defined on a square pyramid. More...
class	LinearSpacingFunction
	Linear spacing function, defining the width of interval i as s + i * d. More...
class	LinearWedgeFiniteElement
	A linear element defined on a triangular prism. More...
class	ListOfIntegerSets
	List of integer sets. More...
class	Local_FECollection
	Discontinuous collection defined locally by a given finite element. More...
class	LogarithmicSpacingFunction
	Logarithmic spacing function, uniform in log base 10 by default. More...
class	LORBase
	Abstract base class for LORDiscretization and ParLORDiscretization classes, which construct low-order refined versions of bilinear forms. More...
class	LORDiscretization
	Create and assemble a low-order refined version of a BilinearForm. More...
class	LORSolver
	Represents a solver of type SolverType created using the low-order refined version of the given BilinearForm or ParBilinearForm. More...
class	LORSolver< HypreADS >
class	LORSolver< HypreAMS >
class	LpErrorEstimator
	The LpErrorEstimator class compares the solution to a known coefficient. More...
class	LSZienkiewiczZhuEstimator
	The LSZienkiewiczZhuEstimator class implements the Zienkiewicz-Zhu error estimation procedure [1,2] using face-based patches [3]. More...
class	LUFactors
class	LumpedIntegrator
class	MappedGridFunctionCoefficient
	Returns f(u(x)) where u is a scalar GridFunction and f:R → R. More...
class	MassIntegrator
class	MaterialTopology
	Virtual class to define the interface for defining the material topology. More...
class	Matrix
	Abstract data type matrix. More...
class	MatrixArrayCoefficient
	Matrix coefficient defined by a matrix of scalar coefficients. Coefficients that are not set will evaluate to zero in the vector. The coefficient is stored as a flat Array with indexing (i,j) -> i*width+j. More...
class	MatrixCoefficient
	Base class for Matrix Coefficients that optionally depend on time and space. More...
class	MatrixConstantCoefficient
	A matrix coefficient that is constant in space and time. More...
class	MatrixFreeAMS
	An auxiliary Maxwell solver for a high-order curl-curl system without high-order assembly. More...
class	MatrixFreeAuxiliarySpace
	Auxiliary space solvers for MatrixFreeAMS preconditioner. More...
class	MatrixFunctionCoefficient
	A matrix coefficient with an optional scalar coefficient multiplier q. The matrix function can either be represented by a std function or a constant matrix provided when constructing this object. More...
class	MatrixInverse
	Abstract data type for matrix inverse. More...
class	MatrixProductCoefficient
	Matrix coefficient defined as the product of two matrices. More...
class	MatrixRestrictedCoefficient
	Derived matrix coefficient that has the value of the parent matrix coefficient where it is active and is zero otherwise. More...
class	MatrixSumCoefficient
	Matrix coefficient defined as the linear combination of two matrices. More...
class	MatrixVectorProductCoefficient
	Vector coefficient defined as a product of a matrix coefficient and a vector coefficient. More...
class	MemAlloc
class	MemAllocNode
class	Memory
	Class used by MFEM to store pointers to host and/or device memory. More...
struct	MemoryIJData
class	MemoryManager
class	Mesh
	Mesh data type. More...
class	MeshOperator
	The MeshOperator class serves as base for mesh manipulation classes. More...
class	MeshOperatorSequence
class	MeshPart
	Class containing a minimal description of a part (a subset of the elements) of a Mesh and its connectivity to other parts. More...
class	MeshPartitioner
	Class that allows serial meshes to be partitioned into MeshPart objects, typically one MeshPart at a time, which can then be used to write the local mesh in parallel MFEM mesh format. More...
class	MFBilinearFormExtension
	Data and methods for matrix-free bilinear forms. More...
class	MFNonlinearFormExtension
	Data and methods for unassembled nonlinear forms. More...
class	MINRESSolver
	MINRES method. More...
class	MixedBilinearForm
class	MixedBilinearFormExtension
	Class extending the MixedBilinearForm class to support different AssemblyLevels. More...
class	MixedCrossCurlCurlIntegrator
class	MixedCrossCurlGradIntegrator
class	MixedCrossCurlIntegrator
class	MixedCrossGradCurlIntegrator
class	MixedCrossGradGradIntegrator
class	MixedCrossGradIntegrator
class	MixedCrossProductIntegrator
class	MixedCurlCurlIntegrator
class	MixedCurlIntegrator
class	MixedDirectionalDerivativeIntegrator
class	MixedDivGradIntegrator
class	MixedDotProductIntegrator
class	MixedGradDivIntegrator
class	MixedGradGradIntegrator
class	MixedScalarCrossCurlIntegrator
class	MixedScalarCrossGradIntegrator
class	MixedScalarCrossProductIntegrator
class	MixedScalarCurlIntegrator
class	MixedScalarDerivativeIntegrator
class	MixedScalarDivergenceIntegrator
class	MixedScalarIntegrator
class	MixedScalarMassIntegrator
class	MixedScalarVectorIntegrator
class	MixedScalarWeakCrossProductIntegrator
class	MixedScalarWeakCurlCrossIntegrator
class	MixedScalarWeakCurlIntegrator
class	MixedScalarWeakDerivativeIntegrator
class	MixedScalarWeakDivergenceIntegrator
class	MixedScalarWeakGradientIntegrator
class	MixedVectorCurlIntegrator
class	MixedVectorDivergenceIntegrator
class	MixedVectorGradientIntegrator
class	MixedVectorIntegrator
class	MixedVectorMassIntegrator
class	MixedVectorProductIntegrator
class	MixedVectorWeakCurlIntegrator
class	MixedVectorWeakDivergenceIntegrator
class	MixedWeakCurlCrossIntegrator
class	MixedWeakDivCrossIntegrator
class	MixedWeakGradDotIntegrator
class	MomentFittingIntRules
	Class for subdomain IntegrationRules by means of moment-fitting. More...
class	MortarAssembler
	This class implements the serial variational transfer between finite element spaces. Variational transfer has been shown to have better approximation properties than standard interpolation. This facilities can be used for supporting applications which require the handling of non matching meshes. For instance: General multi-physics problems, fluid structure interaction, or even visualization of average quantities within subvolumes This algorithm allows to perform quadrature in the intersection of elements of two separate and unrelated meshes. It generates quadrature rules in the intersection which allows us to integrate-with to machine precision using the mfem::MortarIntegrator interface. See https://doi.org/10.1137/15M1008361 for and in-depth explanation. At this time curved elements are not supported. More...
class	MortarIntegrator
	Interface for mortar element assembly. The MortarIntegrator interface is used for performing Petrov-Galerkin finite element assembly on intersections between elements. The quadrature rules are to be generated by a cut algorithm (e.g., mfem::Cut). The quadrature rules are defined in the respective trial and test reference frames. Trial and test spaces can be associated with different element shapes (e.g., triangles and quadrilaterals) and different polynomial orders (e.g., 1 and 4). This class is designed to work in conjunction with the MFEM/moonolith module but it can be used also for other applications. More...
class	Mpi
	A simple singleton class that calls MPI_Init() at construction and MPI_Finalize() at destruction. It also provides easy access to MPI_COMM_WORLD's rank and size. More...
class	MPI_Session
	A simple convenience class based on the Mpi singleton class above. Preserved for backward compatibility. New code should use Mpi::Init() and other Mpi methods instead. More...
struct	MPITypeMap
	Helper struct to convert a C++ type to an MPI type. More...
struct	MPITypeMap< double >
struct	MPITypeMap< float >
struct	MPITypeMap< int >
class	Multigrid
	Multigrid solver class. More...
class	MultigridBase
	Abstract base class for Multigrid solvers. More...
class	MUMPSSolver
	MUMPS: A Parallel Sparse Direct Solver. More...
class	MyEnergyFunctor
class	MyResidualFunctor
class	named_ifgzstream
class	NamedFieldsMap
	Lightweight adaptor over an std::map from strings to pointer to T. More...
struct	NCInterpConfig
class	NCL2FaceRestriction
	Operator that extracts face degrees of freedom for L2 nonconforming spaces. More...
class	NCMesh
	A class for non-conforming AMR. The class is not used directly by the user, rather it is an extension of the Mesh class. More...
class	ND1_3DFECollection
	Lowest order Nedelec finite elements in 3D. This class is kept only for backward compatibility, consider using the new ND_FECollection instead. More...
class	ND_DofTransformation
class	ND_FECollection
	Arbitrary order H(curl)-conforming Nedelec finite elements. More...
class	ND_HexahedronElement
	Arbitrary order Nedelec elements in 3D on a cube. More...
class	ND_QuadrilateralElement
	Arbitrary order Nedelec elements in 2D on a square. More...
class	ND_R1D_FECollection
	Arbitrary order 3D H(curl)-conforming Nedelec finite elements in 1D. More...
class	ND_R1D_PointElement
	A 0D Nedelec finite element for the boundary of a 1D domain. More...
class	ND_R1D_SegmentElement
	Arbitrary order, three component, Nedelec elements in 1D on a segment. More...
class	ND_R2D_FECollection
	Arbitrary order 3D H(curl)-conforming Nedelec finite elements in 2D. More...
class	ND_R2D_FiniteElement
class	ND_R2D_QuadrilateralElement
	Arbitrary order Nedelec 3D elements in 2D on a square. More...
class	ND_R2D_SegmentElement
class	ND_R2D_Trace_FECollection
	Arbitrary order 3D H(curl)-trace finite elements in 2D defined on the interface between mesh elements (edges); these are the tangential trace FEs of the H(curl)-conforming FEs. More...
class	ND_R2D_TriangleElement
	Arbitrary order Nedelec 3D elements in 2D on a triangle. More...
class	ND_SegmentElement
	Arbitrary order Nedelec elements in 1D on a segment. More...
class	ND_TetDofTransformation
	DoF transformation implementation for the Nedelec basis on tetrahedra. More...
class	ND_TetrahedronElement
	Arbitrary order Nedelec elements in 3D on a tetrahedron. More...
class	ND_Trace_FECollection
	Arbitrary order H(curl)-trace finite elements defined on the interface between mesh elements (faces,edges); these are the tangential trace FEs of the H(curl)-conforming FEs. More...
class	ND_TriangleElement
	Arbitrary order Nedelec elements in 2D on a triangle. More...
class	ND_TriDofTransformation
class	ND_WedgeDofTransformation
	DoF transformation implementation for the Nedelec basis on wedge elements. More...
class	ND_WedgeElement
class	Nedelec1HexFiniteElement
	A 3D 1st order Nedelec element on a cube. More...
class	Nedelec1PyrFiniteElement
	A 3D 1st order Nedelec element on a pyramid. More...
class	Nedelec1TetFiniteElement
	A 3D 1st order Nedelec element on a tetrahedron. More...
class	Nedelec1WdgFiniteElement
	A 3D 1st order Nedelec element on a wedge. More...
class	NeoHookeanModel
class	NewmarkSolver
class	NewtonSolver
	Newton's method for solving F(x)=b for a given operator F. More...
class	NNLSSolver
class	NodalFiniteElement
	Class for standard nodal finite elements. More...
class	NodalTensorFiniteElement
class	NodeExtrudeCoefficient
	Class used to extrude the nodes of a mesh. More...
class	NonconservativeDGTraceIntegrator
class	NonlinearForm
class	NonlinearFormExtension
	Class extending the NonlinearForm class to support the different AssemblyLevels. More...
class	NonlinearFormIntegrator
	This class is used to express the local action of a general nonlinear finite element operator. In addition it may provide the capability to assemble the local gradient operator and to compute the local energy. More...
class	NormalGradCoeff
class	NormalGradComponentCoeff
class	NormalInterpolator
class	NormalizedVectorCoefficient
	Vector coefficient defined as a normalized vector field (returns v/|v|) More...
class	NormalTraceIntegrator
class	NormalTraceJumpIntegrator
struct	NoSIMDTraits
class	NURBS1DFiniteElement
	An arbitrary order 1D NURBS element on a segment. More...
class	NURBS2DFiniteElement
	An arbitrary order 2D NURBS element on a square. More...
class	NURBS3DFiniteElement
	An arbitrary order 3D NURBS element on a cube. More...
class	NURBSExtension
class	NURBSFECollection
	Arbitrary order non-uniform rational B-splines (NURBS) finite elements. More...
class	NURBSFiniteElement
	An arbitrary order and dimension NURBS element. More...
class	NURBSMeshRules
	Class for defining different integration rules on each NURBS patch. More...
class	NURBSPatch
class	NURBSPatchMap
class	OctetTrussTopology
class	ODESolver
	Abstract class for solving systems of ODEs: dx/dt = f(x,t) More...
struct	OffsetStridedLayout1D
struct	OffsetStridedLayout2D
struct	OffsetStridedLayout3D
struct	OffsetStridedLayout4D
class	ofgzstream
class	Operator
	Abstract operator. More...
class	OperatorChebyshevSmoother
	Chebyshev accelerated smoothing with given vector, no matrix necessary. More...
class	OperatorHandle
	Pointer to an Operator of a specified type. More...
class	OperatorJacobiSmoother
	Jacobi smoothing for a given bilinear form (no matrix necessary). More...
class	OptimizationProblem
class	OptimizationSolver
	Abstract solver for OptimizationProblems. More...
class	OptionsParser
class	Ordering
	The ordering method used when the number of unknowns per mesh node (vector dimension) is bigger than 1. More...
class	OrthoSolver
	Solver wrapper which orthogonalizes the input and output vector. More...
class	osockstream
class	OuterProductCoefficient
	Matrix coefficient defined as the outer product of two vector coefficients. More...
class	OutStream
	Simple extension of std::ostream. More...
class	OversetFindPointsGSLIB
	OversetFindPointsGSLIB enables use of findpts for arbitrary number of overlapping grids. The parameters in this class are the same as FindPointsGSLIB with the difference of additional inputs required to account for more than 1 mesh. More...
class	P0HexFiniteElement
	A 3D constant element on a cube. More...
class	P0PyrFiniteElement
	A 3D constant element on a pyramid. More...
class	P0QuadFiniteElement
	A 2D constant element on a square. More...
class	P0SegmentFiniteElement
	A 1D constant element on a segment. More...
class	P0TetFiniteElement
	A 3D constant element on a tetrahedron. More...
class	P0TriangleFiniteElement
	A 2D constant element on a triangle. More...
class	P0WdgFiniteElement
	A 3D constant element on a wedge. More...
class	P0WedgeFiniteElement
	A 0th order L2 element on a Wedge. More...
class	P1OnQuadFECollection
	Linear (P1) finite elements on quadrilaterals. More...
class	P1OnQuadFiniteElement
	A 2D linear element on a square with 3 nodes at the vertices of the lower left triangle. More...
class	P1SegmentFiniteElement
	A 1D linear element with nodes at 1/3 and 2/3 (trace of RT1) More...
class	P1TetNonConfFiniteElement
	A 3D Crouzeix-Raviart element on the tetrahedron. More...
class	P2SegmentFiniteElement
	A 1D quadratic element with nodes at the Gaussian points (trace of RT2) More...
class	PABilinearFormExtension
	Data and methods for partially-assembled bilinear forms. More...
class	PADiscreteLinearOperatorExtension
	Partial assembly extension for DiscreteLinearOperator. More...
class	Pair
	A pair of objects. More...
class	PAMixedBilinearFormExtension
	Data and methods for partially-assembled mixed bilinear forms. More...
class	PANonlinearFormExtension
	Data and methods for partially-assembled nonlinear forms. More...
class	ParAdvectorCGOper
	Performs a single remap advection step in parallel. More...
class	ParametricBNLForm
	A class representing a general parametric block nonlinear operator defined on the Cartesian product of multiple FiniteElementSpaces. More...
class	ParametricBNLFormIntegrator
class	ParametricLinearDiffusion
class	ParaViewDataCollection
	Helper class for ParaView visualization data. More...
class	ParBilinearForm
	Class for parallel bilinear form. More...
class	ParBlockNonlinearForm
	A class representing a general parallel block nonlinear operator defined on the Cartesian product of multiple ParFiniteElementSpaces. More...
class	ParComplexDPGWeakForm
	Class representing the parallel weak formulation. (Convenient for DPG Equations) More...
class	ParComplexGridFunction
class	ParComplexLinearForm
class	ParDiscreteLinearOperator
class	PardisoSolver
	MKL Parallel Direct Sparse Solver PARDISO. More...
class	ParDPGWeakForm
	Class representing the parallel weak formulation. (Convenient for DPG Equations) More...
class	ParFiniteElementSpace
	Abstract parallel finite element space. More...
class	ParFiniteElementSpaceHierarchy
class	ParGridFunction
	Class for parallel grid function. More...
class	ParL2FaceRestriction
	Operator that extracts Face degrees of freedom in parallel. More...
class	ParLinearForm
	Class for parallel linear form. More...
class	ParLORDiscretization
	Create and assemble a low-order refined version of a ParBilinearForm. More...
class	ParMesh
	Class for parallel meshes. More...
class	ParMixedBilinearForm
	Class for parallel bilinear form using different test and trial FE spaces. More...
class	ParMortarAssembler
	This class implements the parallel variational transfer between finite element spaces. Variational transfer has been shown to have better approximation properties than standard interpolation. This facilities can be used for supporting applications which require the handling of non matching meshes. For instance: General multi-physics problems, fluid structure interaction, or even visualization of average quantities within subvolumes. This particular code is also used with LLNL for large scale multilevel Monte Carlo simulations. This algorithm allows to perform quadrature in the intersection of elements of two separate, unrelated, and arbitrarily distributed meshes. It generates quadrature rules in the intersection which allows us to integrate with to machine precision using the mfem::MortarIntegrator interface. See https://doi.org/10.1137/15M1008361 for and in-depth explanation. At this time curved elements are not supported. Convex non-affine elements are partially supported, however, high order (>3) finite element discretizations or nonlinear geometric transformations might generate undesired oscillations. Discontinuous fields in general can only be mapped to order 0 destination fields. For such cases localized versions of the projection will have to be developed. More...
class	ParNCH1FaceRestriction
	Operator that extracts Face degrees of freedom for NCMesh in parallel. More...
class	ParNCL2FaceRestriction
	Operator that extracts Face degrees of freedom for NCMesh in parallel. More...
class	ParNCMesh
	A parallel extension of the NCMesh class. More...
class	ParNonlinearForm
	Parallel non-linear operator on the true dofs. More...
class	ParNURBSExtension
class	ParParametricBNLForm
	A class representing a general parametric parallel block nonlinear operator defined on the Cartesian product of multiple ParFiniteElementSpaces. More...
class	ParPumiMesh
	Class for PUMI parallel meshes. More...
class	ParSesquilinearForm
class	ParSubMesh
	Subdomain representation of a topological parent in another ParMesh. More...
class	ParticleTopology
	Class that implements the particle topology. More...
class	ParTransferMap
	ParTransferMap represents a mapping of degrees of freedom from a source ParGridFunction to a destination ParGridFunction. More...
class	PenaltyConstrainedSolver
	Solve constrained system with penalty method; see ConstrainedSolver. More...
class	PenaltyGMRESSolver
class	PenaltyPCGSolver
class	PetscBCHandler
	Helper class for handling essential boundary conditions. More...
class	PetscBDDCSolver
class	PetscBDDCSolverParams
	Auxiliary class for BDDC customization. More...
class	PetscFieldSplitSolver
class	PetscH2Solver
class	PetscLinearSolver
	Abstract class for PETSc's linear solvers. More...
class	PetscMemory
	Wrapper for syncing PETSc's vector memory. More...
class	PetscNonlinearSolver
	Abstract class for PETSc's nonlinear solvers. More...
class	PetscODESolver
	Abstract class for PETSc's ODE solvers. More...
class	PetscParMatrix
	Wrapper for PETSc's matrix class. More...
class	PetscParVector
class	PetscPCGSolver
class	PetscPreconditioner
	Abstract class for PETSc's preconditioners. More...
class	PetscPreconditionerFactory
class	PetscSolver
	Abstract class for PETSc's solvers. More...
class	PetscSolverMonitor
	Abstract class for monitoring PETSc's solvers. More...
class	PiecewiseSpacingFunction
	Piecewise spacing function, with spacing functions defining spacing within arbitarily many fixed subintervals of the unit interval. More...
class	pLaplace
class	pLaplaceAD
class	pLaplaceSL
class	PmlCoefficient
class	PmlMatrixCoefficient
class	Point
	Data type point element. More...
class	PointFiniteElement
	A 0D point finite element. More...
class	Poly_1D
	Class for computing 1D special polynomials and their associated basis functions. More...
class	PositionVectorCoefficient
class	PositiveFiniteElement
	Class for finite elements utilizing the always positive Bernstein basis. More...
class	PositiveTensorFiniteElement
class	PowerCoefficient
	Scalar coefficient defined as a scalar raised to a power. More...
class	PowerMethod
	PowerMethod helper class to estimate the largest eigenvalue of an operator using the iterative power method. More...
class	PRefinementTransferOperator
	Matrix-free transfer operator between finite element spaces on the same mesh. More...
class	ProductCoefficient
	Scalar coefficient defined as the product of two scalar coefficients or a scalar and a scalar coefficient. More...
class	ProductOperator
	General product operator: x -> (A*B)(x) = A(B(x)). More...
class	ProductSolver
class	PumiMesh
	Base class for PUMI meshes. More...
class	PWCoefficient
	A piecewise coefficient with the pieces keyed off the element attribute numbers. More...
class	PWConstCoefficient
	A piecewise constant coefficient with the constants keyed off the element attribute numbers. More...
class	PWMatrixCoefficient
	A piecewise matrix-valued coefficient with the pieces keyed off the element attribute numbers. More...
class	PWVectorCoefficient
	A piecewise vector-valued coefficient with the pieces keyed off the element attribute numbers. More...
class	Pyramid
	Data type Pyramid element. More...
class	QFunctionAutoDiff
class	QLinearDiffusion
class	Quad1DFiniteElement
	A 1D quadratic finite element with uniformly spaced nodes. More...
class	Quad2DFiniteElement
	A 2D quadratic element on triangle with nodes at the vertices and midpoints of the triangle. More...
class	QuadPos1DFiniteElement
	A 1D quadratic positive element utilizing the 2nd order Bernstein basis. More...
class	Quadratic3DFiniteElement
	A 3D quadratic element on a tetrahedron with uniformly spaced nodes. More...
class	QuadraticDiscont2DFECollection
	Piecewise-quadratic discontinuous finite elements in 2D. This class is kept only for backward compatibility, consider using L2_FECollection instead. More...
class	QuadraticDiscont3DFECollection
	Piecewise-quadratic discontinuous finite elements in 3D. This class is kept only for backward compatibility, consider using L2_FECollection instead. More...
class	QuadraticFECollection
	Piecewise-(bi)quadratic continuous finite elements. More...
class	QuadraticPosDiscont2DFECollection
	Version of QuadraticDiscont2DFECollection with positive basis functions. More...
class	QuadraticPosFECollection
	Version of QuadraticFECollection with positive basis functions. More...
class	Quadrature1D
	A class container for 1D quadrature type constants. More...
class	QuadratureFunction
	Represents values or vectors of values at quadrature points on a mesh. More...
class	QuadratureFunctionCoefficient
	Quadrature function coefficient which requires that the quadrature rules used for this coefficient be the same as those that live within the supplied QuadratureFunction. More...
class	QuadratureFunctions1D
	A Class that defines 1-D numerical quadrature rules on [0,1]. More...
class	QuadratureInterpolator
	A class that performs interpolation from an E-vector to quadrature point values and/or derivatives (Q-vectors). More...
class	QuadratureLFIntegrator
class	QuadratureSpace
	Class representing the storage layout of a QuadratureFunction. More...
class	QuadratureSpaceBase
	Abstract base class for QuadratureSpace and FaceQuadratureSpace. More...
class	Quadrilateral
	Data type quadrilateral element. More...
class	QVectorFuncAutoDiff
struct	RajaCuWrap
struct	RajaCuWrap< 1 >
struct	RajaCuWrap< 2 >
struct	RajaCuWrap< 3 >
struct	RajaHipWrap
struct	RajaHipWrap< 1 >
struct	RajaHipWrap< 2 >
struct	RajaHipWrap< 3 >
class	RAPOperator
	The operator x -> R*A*P*x constructed through the actions of R^T, A and P. More...
class	RatioCoefficient
	Scalar coefficient defined as the ratio of two scalars where one or both scalars are scalar coefficients. More...
class	Rebalancer
	ParMesh rebalancing operator. More...
class	RectangularConstrainedOperator
	Rectangular Operator for imposing essential boundary conditions on the input space using only the action, Mult(), of a given unconstrained Operator. More...
class	RefinedBiLinear2DFiniteElement
	A 2D refined bi-linear FE on a square. More...
class	RefinedGeometry
class	RefinedLinear1DFiniteElement
	A 1D refined linear element. More...
class	RefinedLinear2DFiniteElement
	A 2D refined linear element on a triangle. More...
class	RefinedLinear3DFiniteElement
	A 2D refined linear element on a tetrahedron. More...
class	RefinedLinearFECollection
	Finite element collection on a macro-element. More...
class	RefinedTriLinear3DFiniteElement
	A 3D refined tri-linear element on a cube. More...
struct	Refinement
class	ResidualBCMonitor
	Monitor that checks whether the residual is zero at a given set of dofs. More...
class	RestrictedCoefficient
	Derived coefficient that takes the value of the parent coefficient for the active attributes and is zero otherwise. More...
class	RiemannSolver
	Abstract class for numerical flux for a system of hyperbolic conservation laws on a face with states, fluxes and characteristic speed. More...
class	RK2Solver
class	RK3SSPSolver
	Third-order, strong stability preserving (SSP) Runge-Kutta method. More...
class	RK4Solver
	The classical explicit forth-order Runge-Kutta method, RK4. More...
class	RK6Solver
class	RK8Solver
class	RotTriLinearHexFiniteElement
class	RowNode
class	RT0_2DFECollection
	First order Raviart-Thomas finite elements in 2D. This class is kept only for backward compatibility, consider using RT_FECollection instead. More...
class	RT0_3DFECollection
	First order Raviart-Thomas finite elements in 3D. This class is kept only for backward compatibility, consider using RT_FECollection instead. More...
class	RT0HexFiniteElement
	A 3D 0th order Raviert-Thomas element on a cube. More...
class	RT0PyrFiniteElement
	A 3D 0th order Raviert-Thomas element on a pyramid. More...
class	RT0QuadFiniteElement
	A 2D 1st order Raviart-Thomas vector element on a square. More...
class	RT0TetFiniteElement
	A 3D 0th order Raviert-Thomas element on a tetrahedron. More...
class	RT0TriangleFiniteElement
	A 2D 1st order Raviart-Thomas vector element on a triangle. More...
class	RT0WdgFiniteElement
	A 3D 0th order Raviert-Thomas element on a wedge. More...
class	RT1_2DFECollection
	Second order Raviart-Thomas finite elements in 2D. This class is kept only for backward compatibility, consider using RT_FECollection instead. More...
class	RT1_3DFECollection
	Second order Raviart-Thomas finite elements in 3D. This class is kept only for backward compatibility, consider using RT_FECollection instead. More...
class	RT1HexFiniteElement
	A 3D 1st order Raviert-Thomas element on a cube. More...
class	RT1QuadFiniteElement
	A 2D 2nd order Raviart-Thomas vector element on a square. More...
class	RT1TriangleFiniteElement
	A 2D 2nd order Raviart-Thomas vector element on a triangle. More...
class	RT2_2DFECollection
	Third order Raviart-Thomas finite elements in 2D. This class is kept only for backward compatibility, consider using RT_FECollection instead. More...
class	RT2QuadFiniteElement
	A 2D 3rd order Raviart-Thomas vector element on a square. More...
class	RT2TriangleFiniteElement
	A 2D 3rd order Raviart-Thomas vector element on a triangle. More...
class	RT_FECollection
	Arbitrary order H(div)-conforming Raviart-Thomas finite elements. More...
class	RT_HexahedronElement
	Arbitrary order Raviart-Thomas elements in 3D on a cube. More...
class	RT_QuadrilateralElement
	Arbitrary order Raviart-Thomas elements in 2D on a square. More...
class	RT_R1D_FECollection
	Arbitrary order 3D H(div)-conforming Raviart-Thomas finite elements in 1D. More...
class	RT_R1D_SegmentElement
	Arbitrary order, three component, Raviart-Thomas elements in 1D on a segment. More...
class	RT_R2D_FECollection
	Arbitrary order 3D H(div)-conforming Raviart-Thomas finite elements in 2D. More...
class	RT_R2D_FiniteElement
class	RT_R2D_QuadrilateralElement
	Arbitrary order Raviart-Thomas 3D elements in 2D on a square. More...
class	RT_R2D_SegmentElement
class	RT_R2D_Trace_FECollection
	Arbitrary order 3D "H^{-1/2}-conforming" face finite elements defined on the interface between mesh elements (faces); these are the normal trace FEs of the H(div)-conforming FEs. More...
class	RT_R2D_TriangleElement
	Arbitrary order Raviart-Thomas 3D elements in 2D on a triangle. More...
class	RT_TetrahedronElement
	Arbitrary order Raviart-Thomas elements in 3D on a tetrahedron. More...
class	RT_Trace_FECollection
	Arbitrary order "H^{-1/2}-conforming" face finite elements defined on the interface between mesh elements (faces); these are the normal trace FEs of the H(div)-conforming FEs. More...
class	RT_TriangleElement
	Arbitrary order Raviart-Thomas elements in 2D on a triangle. More...
class	RT_WedgeElement
class	RusanovFlux
	Rusanov flux, also known as local Lax-Friedrichs, F̂ n = ½(F(u⁺,x)n + F(u⁻,x)n) - ½λ(u⁺ - u⁻) where λ is the maximum characteristic velocity. More...
class	SBM2DirichletIntegrator
class	SBM2DirichletLFIntegrator
class	SBM2NeumannIntegrator
class	SBM2NeumannLFIntegrator
class	ScalarCrossProductInterpolator
class	ScalarFiniteElement
	Class for finite elements with basis functions that return scalar values. More...
class	ScalarLayout
class	ScalarMatrixProductCoefficient
	Matrix coefficient defined as a product of a scalar coefficient and a matrix coefficient. More...
struct	ScalarOps
	Auxiliary class used as the default for the second template parameter in the classes InvariantsEvaluator2D and InvariantsEvaluator3D. More...
class	ScalarProductInterpolator
class	ScalarVectorProductCoefficient
	Vector coefficient defined as a product of scalar and vector coefficients. More...
class	ScalarVectorProductInterpolator
class	ScaledOperator
	Scaled Operator B: x -> a A(x). More...
class	SchurConstrainedHypreSolver
	Basic saddle-point solver with assembled blocks (ie, the operators are assembled HypreParMatrix objects.) More...
class	SchurConstrainedSolver
	Solve constrained system by solving original mixed system; see ConstrainedSolver. More...
class	SDIRK23Solver
class	SDIRK33Solver
class	SDIRK34Solver
class	SecondOrderODESolver
	Abstract class for solving systems of ODEs: d2x/dt2 = f(x,dx/dt,t) More...
class	SecondOrderTimeDependentOperator
	Base abstract class for second order time dependent operators. More...
class	Segment
	Data type line segment element. More...
class	SerialAdvectorCGOper
	Performs a single remap advection step in serial. More...
class	SesquilinearForm
class	ShallowWaterFlux
class	ShapeEvaluator
	General ShapeEvaluator for any scalar FE type (L2 or H1) More...
class	ShapeEvaluator_base
	Shape evaluators – values of basis functions on the reference element. More...
class	ShapeEvaluator_base< FE, IR, false, real_t >
	ShapeEvaluator without tensor-product structure. More...
class	ShapeEvaluator_base< FE, IR, true, real_t >
	ShapeEvaluator with tensor-product structure in any dimension. More...
class	ShiftedFaceMarker
class	ShiftedFunctionCoefficient
class	ShiftedVectorFunctionCoefficient
class	SIA1Solver
	First Order Symplectic Integration Algorithm. More...
class	SIA2Solver
	Second Order Symplectic Integration Algorithm. More...
class	SIASolver
class	SIAVSolver
	Variable order Symplectic Integration Algorithm (orders 1-4) More...
class	SidreDataCollection
	Data collection with Sidre routines following the Conduit mesh blueprint specification. More...
class	SIMPInterpolationCoefficient
	Solid isotropic material penalization (SIMP) coefficient. More...
class	SkewSymmetricVectorConvectionNLFIntegrator
class	SLBQPOptimizer
class	SlepcEigenSolver
class	SLISolver
	Stationary linear iteration: x <- x + B (b - A x) More...
class	socketbuf
class	socketserver
class	socketstream
class	Solver
	Base class for solvers. More...
class	SpacingFunction
class	SparseMatrix
	Data type sparse matrix. More...
class	SparseSmoother
class	SphericalAzimuthalCoefficient
class	SphericalPolarCoefficient
class	SphericalRadialCoefficient
class	STable
class	STable3D
	Symmetric 3D Table stored as an array of rows each of which has a stack of column, floor, number nodes. The number of the node is assigned by counting the nodes from zero as they are pushed into the table. Diagonals of any kind are not allowed so the row, column and floor must all be different for each node. Only one node is stored for all 6 symmetric entries that are indexable by unique triplets of row, column, and floor. More...
class	STable3DNode
class	Stack
class	StackPart
class	StatelessDofTransformation
class	StaticCondensation
class	StopWatch
	Timing object. More...
class	StrainEnergyDensityCoefficient
	Strain energy density coefficient. More...
struct	StridedLayout1D
struct	StridedLayout2D
struct	StridedLayout3D
struct	StridedLayout4D
class	STRUMPACKMixedPrecisionSolver
class	STRUMPACKRowLocMatrix
class	STRUMPACKSolver
class	STRUMPACKSolverBase
class	SubMesh
	Subdomain representation of a topological parent in another Mesh. More...
class	SumCoefficient
	Scalar coefficient defined as the linear combination of two scalar coefficients or a scalar and a scalar coefficient. More...
class	SumIntegrator
	Integrator defining a sum of multiple Integrators. More...
class	SumOperator
	General linear combination operator: x -> a A(x) + b B(x). More...
class	Sundials
	Singleton class for SUNContext and SundialsMemHelper objects. More...
class	SundialsMemHelper
class	SundialsNVector
	Vector interface for SUNDIALS N_Vectors. More...
class	SundialsSolver
	Base class for interfacing with SUNDIALS packages. More...
class	SuperLURowLocMatrix
class	SuperLUSolver
class	SymmetricMatrixCoefficient
	Base class for symmetric matrix coefficients that optionally depend on time and space. More...
class	SymmetricMatrixConstantCoefficient
	A matrix coefficient that is constant in space and time. More...
class	SymmetricMatrixFunctionCoefficient
	A matrix coefficient with an optional scalar coefficient multiplier q. The matrix function can either be represented by a std function or a constant matrix provided when constructing this object. More...
class	Table
class	TangentTraceIntegrator
class	TargetConstructor
	Base class representing target-matrix construction algorithms for mesh optimization via the target-matrix optimization paradigm (TMOP). More...
class	TAutoDiffDenseMatrix
	Templated dense matrix data type. More...
class	TAutoDiffVector
	Templated vector data type. More...
class	TBilinearForm
	Templated bilinear form class, cf. bilinearform.?pp. More...
class	TCoefficient
	Templated coefficient classes, cf. coefficient.?pp. More...
class	TConstantCoefficient
struct	TDiffusionKernel
	Diffusion kernel. More...
struct	TDiffusionKernel< 1, 1, complex_t >
	Diffusion kernel in 1D. More...
struct	TDiffusionKernel< 2, 2, complex_t >
	Diffusion kernel in 2D. More...
struct	TDiffusionKernel< 3, 3, complex_t >
	Diffusion kernel in 3D. More...
class	TElementTransformation
	Element transformation class, templated on a mesh type and an integration rule. It is constructed from a mesh (e.g. class TMesh) and shape evaluator (e.g. class ShapeEvaluator) objects. Allows computation of physical coordinates and Jacobian matrices corresponding to the reference integration points. The desired result is specified through the template subclass Result and stored in an object of the same type. More...
class	TensorBasisElement
class	TensorInd
	A Class to compute the real index from the multi-indices of a tensor. More...
class	TensorInd< Dim, Dim, T, Args... >
class	TensorProductPRefinementTransferOperator
	Matrix-free transfer operator between finite element spaces on the same mesh exploiting the tensor product structure of the finite elements. More...
class	Tetrahedron
	Data type tetrahedron element. More...
class	TFiniteElementSpace_simple
class	TFunctionCoefficient
	Function coefficient. More...
class	TGridFunctionCoefficient
	GridFunction coefficient class. More...
class	ThresholdDerefiner
	De-refinement operator using an error threshold. More...
class	ThresholdRefiner
	Mesh refinement operator using an error threshold. More...
class	TimeDependentAdjointOperator
class	TimeDependentOperator
	Base abstract class for first order time dependent operators. More...
class	TIntegrationRule
class	TIntegrationRule< Geometry::CUBE, Order, real_t >
class	TIntegrationRule< Geometry::SEGMENT, Order, real_t >
class	TIntegrationRule< Geometry::SQUARE, Order, real_t >
class	TIntegrationRule< Geometry::TETRAHEDRON, 0, real_t >
class	TIntegrationRule< Geometry::TETRAHEDRON, 1, real_t >
class	TIntegrationRule< Geometry::TETRAHEDRON, 2, real_t >
class	TIntegrationRule< Geometry::TETRAHEDRON, 3, real_t >
class	TIntegrationRule< Geometry::TETRAHEDRON, 4, real_t >
class	TIntegrationRule< Geometry::TETRAHEDRON, 5, real_t >
class	TIntegrationRule< Geometry::TETRAHEDRON, 6, real_t >
class	TIntegrationRule< Geometry::TETRAHEDRON, 7, real_t >
class	TIntegrationRule< Geometry::TRIANGLE, 0, real_t >
class	TIntegrationRule< Geometry::TRIANGLE, 1, real_t >
class	TIntegrationRule< Geometry::TRIANGLE, 2, real_t >
class	TIntegrationRule< Geometry::TRIANGLE, 3, real_t >
class	TIntegrationRule< Geometry::TRIANGLE, 4, real_t >
class	TIntegrationRule< Geometry::TRIANGLE, 5, real_t >
class	TIntegrationRule< Geometry::TRIANGLE, 6, real_t >
class	TIntegrationRule< Geometry::TRIANGLE, 7, real_t >
class	TIntegrator
	The Integrator class combines a kernel and a coefficient. More...
struct	TMassKernel
	Mass kernel. More...
struct	TMatrix
class	TMesh
class	TMOP_AMetric_011
class	TMOP_AMetric_014a
	2D barrier Size (V) metric (polyconvex). More...
class	TMOP_AMetric_036
	2D barrier Shape+Size+Orientation (VOS) metric (polyconvex). More...
class	TMOP_AMetric_107a
	2D barrier Shape+Orientation (OS) metric (polyconvex). More...
class	TMOP_AMetric_126
	2D barrier Shape+Size (VS) metric (polyconvex). More...
class	TMOP_Combo_QualityMetric
class	TMOP_ExponentialLimiter
	Exponential limiter function in TMOP_Integrator. More...
class	TMOP_Integrator
	A TMOP integrator class based on any given TMOP_QualityMetric and TargetConstructor. More...
class	TMOP_LimiterFunction
	Base class for limiting functions to be used in class TMOP_Integrator. More...
class	TMOP_Metric_001
	2D non-barrier metric without a type. More...
class	TMOP_Metric_002
class	TMOP_Metric_004
class	TMOP_Metric_007
	2D barrier Shape+Size (VS) metric (not polyconvex). More...
class	TMOP_Metric_009
	2D barrier Shape+Size (VS) metric (not polyconvex). More...
class	TMOP_Metric_014
	2D non-barrier Shape+Size+Orientation (VOS) metric (polyconvex). More...
class	TMOP_Metric_022
	2D Shifted barrier form of shape metric (mu_2). More...
class	TMOP_Metric_050
class	TMOP_Metric_055
class	TMOP_Metric_056
class	TMOP_Metric_058
	2D barrier shape (S) metric (not polyconvex). More...
class	TMOP_Metric_066
class	TMOP_Metric_077
class	TMOP_Metric_080
class	TMOP_Metric_085
	2D barrier Shape+Orientation (OS) metric (polyconvex). More...
class	TMOP_Metric_090
	2D compound barrier Shape+Size (VS) metric (balanced). More...
class	TMOP_Metric_094
	2D compound barrier Shape+Size (VS) metric (balanced). More...
class	TMOP_Metric_098
	2D barrier Shape+Size+Orientation (VOS) metric (polyconvex). More...
class	TMOP_Metric_211
	2D untangling metric. More...
class	TMOP_Metric_252
	Shifted barrier form of metric 56 (area, ideal barrier metric), 2D. More...
class	TMOP_Metric_301
	3D barrier Shape (S) metric, well-posed (polyconvex & invex). More...
class	TMOP_Metric_302
	3D barrier Shape (S) metric, well-posed (polyconvex & invex). More...
class	TMOP_Metric_303
	3D barrier Shape (S) metric, well-posed (polyconvex & invex). More...
class	TMOP_Metric_304
	3D barrier Shape (S) metric, well-posed (polyconvex & invex). More...
class	TMOP_Metric_311
	3D Size (V) untangling metric. More...
class	TMOP_Metric_313
	3D Shape (S) metric, untangling version of 303. More...
class	TMOP_Metric_315
	3D Size (V) metric. More...
class	TMOP_Metric_316
	3D Size (V) metric. More...
class	TMOP_Metric_318
	3D Size (V) metric. More...
class	TMOP_Metric_321
	3D barrier Shape+Size (VS) metric, well-posed (invex). More...
class	TMOP_Metric_322
	3D barrier Shape+Size (VS) metric, well-posed (invex). More...
class	TMOP_Metric_323
	3D barrier Shape+Size (VS) metric, well-posed (invex). More...
class	TMOP_Metric_328
	3D compound barrier Shape+Size (VS) metric (polyconvex, balanced). More...
class	TMOP_Metric_332
	3D compound barrier Shape+Size (VS) metric (polyconvex). More...
class	TMOP_Metric_333
	3D barrier Shape+Size (VS) metric, well-posed (polyconvex). More...
class	TMOP_Metric_334
	3D barrier Shape+Size (VS) metric, well-posed (polyconvex). More...
class	TMOP_Metric_338
	3D compound barrier Shape+Size (VS) metric (polyconvex, balanced). More...
class	TMOP_Metric_347
	3D barrier Shape+Size (VS) metric, well-posed (polyconvex). More...
class	TMOP_Metric_352
	3D shifted barrier form of metric 316 (not typed). More...
class	TMOP_Metric_360
	3D non-barrier Shape (S) metric. More...
class	TMOP_Metric_aspratio2D
	2D non-barrier Aspect ratio metric. More...
class	TMOP_Metric_aspratio3D
	3D non-barrier Aspect ratio metric. More...
class	TMOP_Metric_skew2D
	2D non-barrier Skew metric. More...
class	TMOP_Metric_skew3D
	3D non-barrier Skew metric. More...
class	TMOP_QuadraticLimiter
	Default limiter function in TMOP_Integrator. More...
class	TMOP_QualityMetric
	Abstract class for local mesh quality metrics in the target-matrix optimization paradigm (TMOP) by P. Knupp et al. More...
class	TMOP_WorstCaseUntangleOptimizer_Metric
class	TMOPComboIntegrator
class	TMOPDeRefinerEstimator
class	TMOPHRSolver
class	TMOPMatrixCoefficient
class	TMOPNewtonSolver
class	TMOPRefinerEstimator
class	TPiecewiseConstCoefficient
class	TProductIntegrationRule
class	TProductIntegrationRule_base
class	TProductIntegrationRule_base< 1, Q, real_t >
class	TProductIntegrationRule_base< 2, Q, real_t >
class	TProductIntegrationRule_base< 3, Q, real_t >
class	TProductShapeEvaluator
class	TProductShapeEvaluator< 1, DOF, NIP, real_t >
	ShapeEvaluator with 1D tensor-product structure. More...
class	TProductShapeEvaluator< 2, DOF, NIP, real_t >
	ShapeEvaluator with 2D tensor-product structure. More...
class	TProductShapeEvaluator< 3, DOF, NIP, real_t >
	ShapeEvaluator with 3D tensor-product structure. More...
class	TraceIntegrator
class	TraceJumpIntegrator
class	TransferMap
	TransferMap represents a mapping of degrees of freedom from a source GridFunction to a destination GridFunction. More...
class	TransferOperator
	Matrix-free transfer operator between finite element spaces. More...
class	TransformedCoefficient
	A coefficient that depends on 1 or 2 parent coefficients and a transformation rule represented by a C-function. More...
class	TransposeIntegrator
class	TransposeMatrixCoefficient
	Matrix coefficient defined as the transpose a matrix coefficient. More...
class	TransposeOperator
	The transpose of a given operator. Switches the roles of the methods Mult() and MultTranspose(). More...
class	TrapezoidalRuleSolver
class	Triangle
	Data type triangle element. More...
class	TriLinear3DFiniteElement
	A 3D tri-linear element on a cube with nodes at the vertices of the cube. More...
class	Triple
	A triple of objects. More...
class	TripleProductOperator
	General triple product operator x -> A*B*C*x, with ownership of the factors. More...
class	TrueTransferOperator
	Matrix-free transfer operator between finite element spaces working on true degrees of freedom. More...
struct	TTensor3
struct	TTensor4
struct	TVector
class	UMFPackSolver
	Direct sparse solver using UMFPACK. More...
class	UniformSpacingFunction
	Uniform spacing function, dividing the unit interval into Size() equally spaced intervals (elements). More...
struct	VarMessage
	Variable-length MPI message containing unspecific binary data. More...
class	Vector
	Vector data type. More...
class	VectorArrayCoefficient
	Vector coefficient defined by an array of scalar coefficients. Coefficients that are not set will evaluate to zero in the vector. This object takes ownership of the array of coefficients inside it and deletes them at object destruction. More...
class	VectorBoundaryFluxLFIntegrator
class	VectorBoundaryLFIntegrator
class	VectorCoefficient
	Base class for vector Coefficients that optionally depend on time and space. More...
class	VectorConstantCoefficient
	Vector coefficient that is constant in space and time. More...
class	VectorConvectionNLFIntegrator
class	VectorCrossProductCoefficient
	Vector coefficient defined as a cross product of two vectors. More...
class	VectorCrossProductInterpolator
class	VectorCurlCurlIntegrator
class	VectorDeltaCoefficient
	Vector coefficient defined by a scalar DeltaCoefficient and a constant vector direction. More...
class	VectorDiffusionIntegrator
class	VectorDivergenceIntegrator
class	VectorDomainLFGradIntegrator
class	VectorDomainLFIntegrator
class	VectorFEBoundaryFluxLFIntegrator
class	VectorFEBoundaryTangentLFIntegrator
	Class for boundary integration \( L(v) = (n \times f, v) \). More...
class	VectorFECurlIntegrator
class	VectorFEDivergenceIntegrator
class	VectorFEDomainLFCurlIntegrator
	\( (Q, \mathrm{curl}(v))_{\Omega} \) for Nedelec Elements More...
class	VectorFEDomainLFDivIntegrator
	\( (Q, \mathrm{div}(v))_{\Omega} \) for RT Elements More...
class	VectorFEDomainLFIntegrator
	\( (f, v)_{\Omega} \) for VectorFiniteElements (Nedelec, Raviart-Thomas) More...
class	VectorFEMassIntegrator
class	VectorFEWeakDivergenceIntegrator
class	VectorFiniteElement
	Intermediate class for finite elements whose basis functions return vector values. More...
class	VectorFuncAutoDiff
class	VectorFunctionCoefficient
	A general vector function coefficient. More...
class	VectorGridFunctionCoefficient
	Vector coefficient defined by a vector GridFunction. More...
class	VectorInnerProductInterpolator
class	VectorL2MortarIntegrator
	Integrator for vector finite elements. Experimental. More...
class	VectorLayout
class	VectorMassIntegrator
class	VectorQuadratureFunctionCoefficient
	Vector quadrature function coefficient which requires that the quadrature rules used for this vector coefficient be the same as those that live within the supplied QuadratureFunction. More...
class	VectorQuadratureLFIntegrator
class	VectorRestrictedCoefficient
	Derived vector coefficient that has the value of the parent vector where it is active and is zero otherwise. More...
class	VectorRotProductCoefficient
	Scalar coefficient defined as a cross product of two vectors in the xy-plane. More...
class	VectorScalarProductInterpolator
class	VectorSumCoefficient
	Vector coefficient defined as the linear combination of two vectors. More...
class	VectorTensorFiniteElement
class	Vertex
	Data type for vertex. More...
class	VisItDataCollection
	Data collection with VisIt I/O routines. More...
class	VisItFieldInfo
	Helper class for VisIt visualization data. More...
class	VolumeForceCoefficient
	Volumetric force for linear elasticity. More...
struct	VTKGeometry
	Helper class for converting between MFEM and VTK geometry types. More...
class	WBZAlphaSolver
class	Wedge
	Data type Wedge element. More...
class	WhiteGaussianNoiseDomainLFIntegrator
class	ZienkiewiczZhuEstimator
	The ZienkiewiczZhuEstimator class implements the Zienkiewicz-Zhu error estimation procedure. More...

Typedefs
typedef float	real_t
using	DofQuadLimits = internal::DofQuadLimits_CUDA
	Maximum number of 1D DOFs or quadrature points for the architecture currently being compiled for (used in fallback kernels).
using	cuda_launch_policy
	RAJA Cuda and Hip backends.
using	cuda_teams_x
using	cuda_threads_z
using	hip_launch_policy
using	hip_teams_x
using	hip_threads_z
typedef KDTree< int, real_t, 3 >	KDTree3D
	Defines KDTree in 3D.
typedef KDTree< int, real_t, 2 >	KDTree2D
	Defines KDTree in 2D.
typedef KDTree< int, real_t, 1 >	KDTree1D
	Defines KDTree in 1D.
typedef int	HYPRE_MemoryLocation
typedef std::pair< int, int >	occa_id_t
typedef std::map< occa_id_t, occa::kernel >	occa_kernel_t
typedef DeviceTensor< 1, int >	DeviceArray
typedef DeviceTensor< 1, const int >	ConstDeviceArray
typedef DeviceTensor< 1, real_t >	DeviceVector
typedef DeviceTensor< 1, const real_t >	ConstDeviceVector
typedef DeviceTensor< 2, real_t >	DeviceMatrix
typedef DeviceTensor< 2, const real_t >	ConstDeviceMatrix
typedef DeviceTensor< 3, real_t >	DeviceCube
typedef DeviceTensor< 3, const real_t >	ConstDeviceCube
typedef OperatorHandle	OperatorPtr
	Add an alternative name for OperatorHandle – OperatorPtr.
using	NonconservativeConvectionIntegrator = ConvectionIntegrator
using	ConservativeDGTraceIntegrator = DGTraceIntegrator
typedef CartesianZCoefficient	CylindricalZCoefficient
typedef VectorCoefficient	DiagonalMatrixCoefficient
typedef L2_FECollection	DG_FECollection
	Declare an alternative name for L2_FECollection = DG_FECollection.
using	H1FaceRestriction = ConformingFaceRestriction
	Alias for ConformingFaceRestriction, for backwards compatibility and as base class for ParNCH1FaceRestriction.
using	Args = kernels::InvariantsEvaluator2D::Buffers
typedef MatrixVectorProductCoefficient	MatVecCoefficient
	Convenient alias for the MatrixVectorProductCoefficient.

Enumerations
enum	ErrorAction { MFEM_ERROR_ABORT = 0 , MFEM_ERROR_THROW }
	Action to take when MFEM encounters an error. More...
enum class	MemoryType {   HOST , HOST_32 , HOST_64 , HOST_DEBUG ,   HOST_UMPIRE , HOST_PINNED , MANAGED , DEVICE ,   DEVICE_DEBUG , DEVICE_UMPIRE , DEVICE_UMPIRE_2 , SIZE ,   PRESERVE , DEFAULT }
	Memory types supported by MFEM. More...
enum class	MemoryClass {   HOST , HOST_32 , HOST_64 , DEVICE ,   MANAGED }
	Memory classes identify sets of memory types. More...
enum class	BlockInverseScaleJob { MATRIX_ONLY , RHS_ONLY , MATRIX_AND_RHS }
enum class	FaceType : bool { Interior , Boundary }
enum class	SpacingType {   UNIFORM_SPACING , LINEAR , GEOMETRIC , BELL ,   GAUSSIAN , LOGARITHMIC , PIECEWISE }
enum class	VTKFormat { ASCII , BINARY , BINARY32 }
	Data array format for VTK and VTU files. More...
enum	TransferCategory { ParentToSubMesh , SubMeshToParent , SubMeshToSubMesh }
	TransferCategory describes the type of transfer. More...
enum class	AssemblyLevel {   LEGACY = 0 , LEGACYFULL = 0 , FULL , ELEMENT ,   PARTIAL , NONE }
	Enumeration defining the assembly level for bilinear and nonlinear form classes derived from Operator. For more details, see https://mfem.org/howto/assembly_levels. More...
enum class	CoefficientStorage : int { FULL = 0 , CONSTANTS = 1 << 0 , SYMMETRIC = 1 << 1 , COMPRESSED = CONSTANTS | SYMMETRIC }
	Flags that determine what storage optimizations to use in CoefficientVector. More...
enum class	QVectorLayout { byNODES , byVDIM }
	Type describing possible layouts for Q-vectors. More...
enum class	ElementDofOrdering { NATIVE , LEXICOGRAPHIC }
	Constants describing the possible orderings of the DOFs in one element. More...
enum class	L2FaceValues : bool { SingleValued , DoubleValued }

Functions
MFEM_HOST_DEVICE constexpr real_t	operator""_r (long double v)
MFEM_HOST_DEVICE constexpr real_t	operator""_r (unsigned long long v)
template<class T >
void	Swap (Array< T > &a, Array< T > &b)
template<class T >
bool	operator== (const Array< T > &LHS, const Array< T > &RHS)
template<class T >
bool	operator!= (const Array< T > &LHS, const Array< T > &RHS)
template<typename T >
const T &	AsConst (const T &a)
	Utility function similar to std::as_const in c++17.
template<class T >
void	Swap (Array2D< T > &a, Array2D< T > &b)
template<class T >
void	Swap (T &a, T &b)
	inlines ///
template<class T >
bool	operator== (const ArraysByName< T > &LHS, const ArraysByName< T > &RHS)
void	KdTreeSort (int **coords, int d, int dim, int size)
MPI_Comm	ReorderRanksZCurve (MPI_Comm comm)
void	mfem_cuda_error (cudaError_t err, const char *expr, const char *func, const char *file, int line)
void *	CuMemAlloc (void **d_ptr, size_t bytes)
	Allocates device memory and returns destination ptr.
void *	CuMallocManaged (void **d_ptr, size_t bytes)
	Allocates managed device memory.
void *	CuMemAllocHostPinned (void **ptr, size_t bytes)
	Allocates page-locked (pinned) host memory.
void *	CuMemFree (void *d_ptr)
	Frees device memory and returns destination ptr.
void *	CuMemFreeHostPinned (void *ptr)
	Frees page-locked (pinned) host memory and returns destination ptr.
void *	CuMemcpyHtoD (void *d_dst, const void *h_src, size_t bytes)
	Copies memory from Host to Device and returns destination ptr.
void *	CuMemcpyHtoDAsync (void *d_dst, const void *h_src, size_t bytes)
	Copies memory from Host to Device and returns destination ptr.
void *	CuMemcpyDtoD (void *d_dst, const void *d_src, size_t bytes)
	Copies memory from Device to Device.
void *	CuMemcpyDtoDAsync (void *d_dst, const void *d_src, size_t bytes)
	Copies memory from Device to Device.
void *	CuMemcpyDtoH (void *h_dst, const void *d_src, size_t bytes)
	Copies memory from Device to Host.
void *	CuMemcpyDtoHAsync (void *h_dst, const void *d_src, size_t bytes)
	Copies memory from Device to Host.
void	CuCheckLastError ()
	Check the error code returned by cudaGetLastError(), aborting on error.
int	CuGetDeviceCount ()
	Get the number of CUDA devices.
template<typename T >
MemoryClass	GetMemoryClass (const Memory< T > &mem, bool on_dev)
	Return the memory class to be used by the functions Read(), Write(), and ReadWrite(), while setting the device use flag in mem, if on_dev is true.
template<typename T >
const T *	Read (const Memory< T > &mem, int size, bool on_dev=true)
	Get a pointer for read access to mem with the mfem::Device's DeviceMemoryClass, if on_dev = true, or the mfem::Device's HostMemoryClass, otherwise.
template<typename T >
const T *	HostRead (const Memory< T > &mem, int size)
	Shortcut to Read(const Memory<T> &mem, int size, false)
template<typename T >
T *	Write (Memory< T > &mem, int size, bool on_dev=true)
	Get a pointer for write access to mem with the mfem::Device's DeviceMemoryClass, if on_dev = true, or the mfem::Device's HostMemoryClass, otherwise.
template<typename T >
T *	HostWrite (Memory< T > &mem, int size)
	Shortcut to Write(const Memory<T> &mem, int size, false)
template<typename T >
T *	ReadWrite (Memory< T > &mem, int size, bool on_dev=true)
	Get a pointer for read+write access to mem with the mfem::Device's DeviceMemoryClass, if on_dev = true, or the mfem::Device's HostMemoryClass, otherwise.
template<typename T >
T *	HostReadWrite (Memory< T > &mem, int size)
	Shortcut to ReadWrite(Memory<T> &mem, int size, false)
void	set_error_action (ErrorAction action)
	Set the action MFEM takes when an error is encountered.
ErrorAction	get_error_action ()
	Get the action MFEM takes when an error is encountered.
void	mfem_backtrace (int mode, int depth)
void	mfem_error (const char *msg)
void	mfem_warning (const char *msg)
	__attribute__ ((enzyme_inactive, noreturn)) void mfem_error(const char *msg
	Function called when an error is encountered. Used by the macros MFEM_ABORT, MFEM_ASSERT, MFEM_VERIFY.
	__attribute__ ((enzyme_inactive)) void mfem_warning(const char *msg
	Function called by the macro MFEM_WARNING.
template<typename HBODY >
void	OmpWrap (const int N, HBODY &&h_body)
	OpenMP backend.
template<const int BLOCKS = MFEM_CUDA_BLOCKS, typename DBODY >
void	RajaCuWrap1D (const int N, DBODY &&d_body)
template<typename DBODY >
void	RajaCuWrap2D (const int N, DBODY &&d_body, const int X, const int Y, const int BZ)
template<typename DBODY >
void	RajaCuWrap3D (const int N, DBODY &&d_body, const int X, const int Y, const int Z, const int G)
template<const int BLOCKS = MFEM_HIP_BLOCKS, typename DBODY >
void	RajaHipWrap1D (const int N, DBODY &&d_body)
template<typename DBODY >
void	RajaHipWrap2D (const int N, DBODY &&d_body, const int X, const int Y, const int BZ)
template<typename DBODY >
void	RajaHipWrap3D (const int N, DBODY &&d_body, const int X, const int Y, const int Z, const int G)
template<typename HBODY >
void	RajaOmpWrap (const int N, HBODY &&h_body)
	RAJA OpenMP backend.
template<typename HBODY >
void	RajaSeqWrap (const int N, HBODY &&h_body)
	RAJA sequential loop backend.
template<const int BLCK = MFEM_CUDA_BLOCKS, typename DBODY >
void	CuWrap1D (const int N, DBODY &&d_body)
template<typename DBODY >
void	CuWrap2D (const int N, DBODY &&d_body, const int X, const int Y, const int BZ)
template<typename DBODY >
void	CuWrap3D (const int N, DBODY &&d_body, const int X, const int Y, const int Z, const int G)
template<const int BLCK = MFEM_HIP_BLOCKS, typename DBODY >
void	HipWrap1D (const int N, DBODY &&d_body)
template<typename DBODY >
void	HipWrap2D (const int N, DBODY &&d_body, const int X, const int Y, const int BZ)
template<typename DBODY >
void	HipWrap3D (const int N, DBODY &&d_body, const int X, const int Y, const int Z, const int G)
template<const int DIM, typename d_lambda , typename h_lambda >
void	ForallWrap (const bool use_dev, const int N, d_lambda &&d_body, h_lambda &&h_body, const int X=0, const int Y=0, const int Z=0, const int G=0)
	The forall kernel body wrapper.
template<const int DIM, typename lambda >
void	ForallWrap (const bool use_dev, const int N, lambda &&body, const int X=0, const int Y=0, const int Z=0, const int G=0)
template<typename lambda >
void	forall (int N, lambda &&body)
template<typename lambda >
void	forall_switch (bool use_dev, int N, lambda &&body)
template<typename lambda >
void	forall_2D (int N, int X, int Y, lambda &&body)
template<typename lambda >
void	forall_2D_batch (int N, int X, int Y, int BZ, lambda &&body)
template<typename lambda >
void	forall_3D (int N, int X, int Y, int Z, lambda &&body)
template<typename lambda >
void	forall_3D_grid (int N, int X, int Y, int Z, int G, lambda &&body)
template<typename lambda >
void	hypre_forall_cpu (int N, lambda &&body)
template<typename lambda >
void	hypre_forall_gpu (int N, lambda &&body)
template<typename lambda >
void	hypre_forall (int N, lambda &&body)
std::string	MakeParFilename (const std::string &prefix, const int myid, const std::string suffix="", const int width=6)
	Construct a string of the form "<prefix><myid><suffix>" where the integer myid is padded with leading zeros to be at least width digits long.
constexpr char	to_hex (unsigned char u)
void	mfem_hip_error (hipError_t err, const char *expr, const char *func, const char *file, int line)
void *	HipMemAlloc (void **d_ptr, size_t bytes)
	Allocates device memory.
void *	HipMallocManaged (void **d_ptr, size_t bytes)
	Allocates managed device memory.
void *	HipMemAllocHostPinned (void **ptr, size_t bytes)
	Allocates page-locked (pinned) host memory.
void *	HipMemFree (void *d_ptr)
	Frees device memory.
void *	HipMemFreeHostPinned (void *ptr)
	Frees page-locked (pinned) host memory and returns destination ptr.
void *	HipMemcpyHtoD (void *d_dst, const void *h_src, size_t bytes)
	Copies memory from Host to Device.
void *	HipMemcpyHtoDAsync (void *d_dst, const void *h_src, size_t bytes)
	Copies memory from Host to Device.
void *	HipMemcpyDtoD (void *d_dst, const void *d_src, size_t bytes)
	Copies memory from Device to Device.
void *	HipMemcpyDtoDAsync (void *d_dst, const void *d_src, size_t bytes)
	Copies memory from Device to Device.
void *	HipMemcpyDtoH (void *h_dst, const void *d_src, size_t bytes)
	Copies memory from Device to Host.
void *	HipMemcpyDtoHAsync (void *h_dst, const void *d_src, size_t bytes)
	Copies memory from Device to Host.
void	HipCheckLastError ()
	Check the error code returned by hipGetLastError(), aborting on error.
int	HipGetDeviceCount ()
	Get the number of HIP devices.
MemoryType	GetMemoryType (MemoryClass mc)
	Return a suitable MemoryType for a given MemoryClass.
bool	MemoryClassContainsType (MemoryClass mc, MemoryType mt)
	Return true iff the MemoryType mt is contained in the MemoryClass mc.
MemoryClass	operator* (MemoryClass mc1, MemoryClass mc2)
	Return a suitable MemoryClass from a pair of MemoryClasses.
void	MemoryPrintFlags (unsigned flags)
	Print the state of a Memory object based on its internal flags. Useful in a debugger. See also Memory<T>::PrintFlags().
bool	IsHostMemory (MemoryType mt)
	Return true if the given memory type is in MemoryClass::HOST.
bool	IsDeviceMemory (MemoryType mt)
	Return true if the given memory type is in MemoryClass::DEVICE.
HYPRE_MemoryLocation	GetHypreMemoryLocation ()
	Return the configured HYPRE_MemoryLocation.
bool	HypreUsingGPU ()
	Return true if HYPRE is configured to use GPU.
occa::device &	OccaDev ()
	Return the default occa::device used by MFEM.
occa::memory	OccaMemoryWrap (void *ptr, std::size_t bytes)
	Wrap a pointer as occa::memory with the default occa::device used by MFEM.
template<typename T >
const occa::memory	OccaMemoryRead (const Memory< T > &mem, size_t size)
	Wrap a Memory object as occa::memory for read only access with the mfem::Device MemoryClass. The returned occa::memory is associated with the default occa::device used by MFEM.
template<typename T >
occa::memory	OccaMemoryWrite (Memory< T > &mem, size_t size)
	Wrap a Memory object as occa::memory for write only access with the mfem::Device MemoryClass. The returned occa::memory is associated with the default occa::device used by MFEM.
template<typename T >
occa::memory	OccaMemoryReadWrite (Memory< T > &mem, size_t size)
	Wrap a Memory object as occa::memory for read-write access with the mfem::Device MemoryClass. The returned occa::memory is associated with the default occa::device used by MFEM.
bool	DeviceCanUseOcca ()
	Function that determines if an OCCA kernel should be used, based on the current mfem::Device configuration.
int	isValidAsInt (char *s)
int	isValidAsDouble (char *s)
void	parseArray (char *str, Array< int > &var)
void	parseVector (char *str, Vector &var)
template<class A , class B >
bool	operator< (const Pair< A, B > &p, const Pair< A, B > &q)
	Comparison operator for class Pair, based on the first element only.
template<class A , class B >
bool	operator== (const Pair< A, B > &p, const Pair< A, B > &q)
	Equality operator for class Pair, based on the first element only.
template<class A , class B >
void	SortPairs (Pair< A, B > *pairs, int size)
	Sort an array of Pairs with respect to the first element.
template<class A , class B , class C >
bool	operator< (const Triple< A, B, C > &p, const Triple< A, B, C > &q)
	Lexicographic comparison operator for class Triple.
template<class A , class B , class C >
void	SortTriple (Triple< A, B, C > *triples, int size)
	Lexicographic sort for arrays of class Triple.
void	Sort3 (int &r, int &c, int &f)
void	Transpose (const Table &A, Table &At, int ncols_A_=-1)
	Transpose a Table.
Table *	Transpose (const Table &A)
void	Transpose (const Array< int > &A, Table &At, int ncols_A_=-1)
	Transpose an Array<int>.
void	Mult (const Table &A, const Table &B, Table &C)
	C = A * B (as boolean matrices)
Table *	Mult (const Table &A, const Table &B)
template<>
void	Swap< Table > (Table &a, Table &b)
	Specialization of the template function Swap<> for class Table.
template<AssignOp::Type Op, typename lvalue_t , typename rvalue_t >
lvalue_t &	Assign (lvalue_t &a, const rvalue_t &b)
template<AssignOp::Type Op, typename lvalue_t , typename rvalue_t >
MFEM_HOST_DEVICE lvalue_t &	AssignHD (lvalue_t &a, const rvalue_t &b)
void	skip_comment_lines (std::istream &is, const char comment_char)
	Check if the stream starts with comment_char. If so skip it.
void	filter_dos (std::string &line)
	Check for, and remove, a trailing '\r' from and std::string.
std::string	to_padded_string (int i, int digits)
	Convert an integer to a 0-padded string with the given number of digits.
int	to_int (const std::string &str)
	Convert a string to an int.
void	tic ()
	Start the tic_toc timer.
double	toc ()
	End timing and return the time from tic() to toc() in seconds.
int	GetVersion ()
	Return the MFEM version number as a single integer.
int	GetVersionMajor ()
	Return the MFEM major version number as an integer.
int	GetVersionMinor ()
	Return the MFEM minor version number as an integer.
int	GetVersionPatch ()
	Return the MFEM version patch number as an integer.
const char *	GetVersionStr ()
	Return the MFEM version number as a string.
const char *	GetGitStr ()
	Return the MFEM Git hash as a string.
const char *	GetConfigStr ()
	Return the MFEM configuration as a string.
BlockMatrix *	Transpose (const BlockMatrix &A)
	Transpose a BlockMatrix: result = A'.
BlockMatrix *	Mult (const BlockMatrix &A, const BlockMatrix &B)
	Multiply BlockMatrix matrices: result = A*B.
ComplexDenseMatrix *	Mult (const ComplexDenseMatrix &B, const ComplexDenseMatrix &C)
	Matrix matrix multiplication. A = B * C.
ComplexDenseMatrix *	MultAtB (const ComplexDenseMatrix &A, const ComplexDenseMatrix &B)
	Multiply the complex conjugate transpose of a matrix A with a matrix B. A^H*B.
int	CanonicalNodeNumber (FiniteElementSpace &fespace, int node, bool parallel, int d=0)
SparseMatrix *	BuildNormalConstraints (FiniteElementSpace &fespace, Array< int > &constrained_att, Array< int > &constraint_rowstarts, bool parallel=false)
	Build a matrix constraining normal components to zero.
SparseMatrix *	ParBuildNormalConstraints (ParFiniteElementSpace &fespace, Array< int > &constrained_att, Array< int > &constraint_rowstarts)
	Parallel wrapper for BuildNormalConstraints.
void	dsyevr_Eigensystem (DenseMatrix &a, Vector &ev, DenseMatrix *evect)
void	dsyev_Eigensystem (DenseMatrix &a, Vector &ev, DenseMatrix *evect)
void	dsygv_Eigensystem (DenseMatrix &a, DenseMatrix &b, Vector &ev, DenseMatrix *evect)
void	Add (const DenseMatrix &A, const DenseMatrix &B, real_t alpha, DenseMatrix &C)
	C = A + alpha*B.
void	Add (real_t alpha, const real_t *A, real_t beta, const real_t *B, DenseMatrix &C)
	C = alpha*A + beta*B.
void	Add (real_t alpha, const DenseMatrix &A, real_t beta, const DenseMatrix &B, DenseMatrix &C)
	C = alpha*A + beta*B.
bool	LinearSolve (DenseMatrix &A, real_t *X, real_t TOL=1.e-9)
	Solves the dense linear system, A * X = B for X
void	Mult (const DenseMatrix &b, const DenseMatrix &c, DenseMatrix &a)
	Matrix matrix multiplication. A = B * C.
void	AddMult_a (real_t alpha, const DenseMatrix &b, const DenseMatrix &c, DenseMatrix &a)
	Matrix matrix multiplication. A += alpha * B * C.
void	AddMult (const DenseMatrix &b, const DenseMatrix &c, DenseMatrix &a)
	Matrix matrix multiplication. A += B * C.
void	CalcAdjugate (const DenseMatrix &a, DenseMatrix &adja)
void	CalcAdjugateTranspose (const DenseMatrix &a, DenseMatrix &adjat)
	Calculate the transposed adjugate of a matrix (for NxN matrices, N=1,2,3)
void	CalcInverse (const DenseMatrix &a, DenseMatrix &inva)
void	CalcInverseTranspose (const DenseMatrix &a, DenseMatrix &inva)
	Calculate the inverse transpose of a matrix (for NxN matrices, N=1,2,3)
void	CalcOrtho (const DenseMatrix &J, Vector &n)
void	MultAAt (const DenseMatrix &a, DenseMatrix &aat)
	Calculate the matrix A.At.
void	AddMultADAt (const DenseMatrix &A, const Vector &D, DenseMatrix &ADAt)
	ADAt += A D A^t, where D is diagonal.
void	MultADAt (const DenseMatrix &A, const Vector &D, DenseMatrix &ADAt)
	ADAt = A D A^t, where D is diagonal.
void	MultABt (const DenseMatrix &A, const DenseMatrix &B, DenseMatrix &ABt)
	Multiply a matrix A with the transpose of a matrix B: A*Bt.
void	MultADBt (const DenseMatrix &A, const Vector &D, const DenseMatrix &B, DenseMatrix &ADBt)
	ADBt = A D B^t, where D is diagonal.
void	AddMultABt (const DenseMatrix &A, const DenseMatrix &B, DenseMatrix &ABt)
	ABt += A * B^t.
void	AddMultADBt (const DenseMatrix &A, const Vector &D, const DenseMatrix &B, DenseMatrix &ADBt)
	ADBt = A D B^t, where D is diagonal.
void	AddMult_a_ABt (real_t a, const DenseMatrix &A, const DenseMatrix &B, DenseMatrix &ABt)
	ABt += a * A * B^t.
void	MultAtB (const DenseMatrix &A, const DenseMatrix &B, DenseMatrix &AtB)
	Multiply the transpose of a matrix A with a matrix B: At*B.
void	AddMultAtB (const DenseMatrix &A, const DenseMatrix &B, DenseMatrix &AtB)
	AtB += A^t * B.
void	AddMult_a_AtB (real_t a, const DenseMatrix &A, const DenseMatrix &B, DenseMatrix &AtB)
	AtB += a * A^t * B.
void	AddMult_a_AAt (real_t a, const DenseMatrix &A, DenseMatrix &AAt)
	AAt += a * A * A^t.
void	Mult_a_AAt (real_t a, const DenseMatrix &A, DenseMatrix &AAt)
	AAt = a * A * A^t.
void	MultVVt (const Vector &v, DenseMatrix &vvt)
	Make a matrix from a vector V.Vt.
void	MultVWt (const Vector &v, const Vector &w, DenseMatrix &VWt)
void	AddMultVWt (const Vector &v, const Vector &w, DenseMatrix &VWt)
	VWt += v w^t.
void	AddMultVVt (const Vector &v, DenseMatrix &VWt)
	VVt += v v^t.
void	AddMult_a_VWt (const real_t a, const Vector &v, const Vector &w, DenseMatrix &VWt)
	VWt += a * v w^t.
void	AddMult_a_VVt (const real_t a, const Vector &v, DenseMatrix &VVt)
	VVt += a * v v^t.
void	RAP (const DenseMatrix &A, const DenseMatrix &P, DenseMatrix &RAP)
void	RAP (const DenseMatrix &Rt, const DenseMatrix &A, const DenseMatrix &P, DenseMatrix &RAP)
void	BatchLUFactor (DenseTensor &Mlu, Array< int > &P, const real_t TOL=0.0)
	Compute the LU factorization of a batch of matrices.
void	BatchLUSolve (const DenseTensor &Mlu, const Array< int > &P, Vector &X)
	Solve batch linear systems.
template<typename T , typename... Dims>
MFEM_HOST_DEVICE DeviceTensor< sizeof...(Dims), T >	Reshape (T *ptr, Dims... dims)
	Wrap a pointer as a DeviceTensor with automatically deduced template parameters.
template<typename T >
bool	CanShallowCopy (const Memory< T > &src, MemoryClass mc)
	Return true if the src Memory can be used with the MemoryClass mc.
real_t	InnerProduct (HypreParVector *x, HypreParVector *y)
real_t	InnerProduct (HypreParVector &x, HypreParVector &y)
	Returns the inner product of x and y.
real_t	ParNormlp (const Vector &vec, real_t p, MPI_Comm comm)
	Compute the l_p norm of the Vector which is split without overlap across the given communicator.
template<typename T >
void	CopyMemory (Memory< T > &src, Memory< T > &dst, MemoryClass dst_mc, bool dst_owner)
	Shallow or deep copy src to dst with the goal to make the array src accessible through dst with the MemoryClass dst_mc. If one of the host/device MemoryTypes of src is contained in dst_mc, then a shallow copy will be used and dst will simply be an alias of src. Otherwise, dst will be properly allocated and src will be deep copied to dst.
template<typename SrcT , typename DstT >
void	CopyConvertMemory (Memory< SrcT > &src, MemoryClass dst_mc, Memory< DstT > &dst)
	Deep copy and convert src to dst with the goal to make the array src accessible through dst with the MemoryClass dst_mc and convert it from type SrcT to type DstT.
decltype(hypre_CSRMatrix::memory_location)	GetHypreParMatrixMemoryLocation (MemoryClass mc)
void	delete_hypre_ParCSRMatrixColMapOffd (hypre_ParCSRMatrix *A)
void	HypreStealOwnership (HypreParMatrix &A_hyp, SparseMatrix &A_diag)
	Make A_hyp steal ownership of its diagonal part A_diag.
void	BlockInverseScale (const HypreParMatrix *A, HypreParMatrix *C, const Vector *b, HypreParVector *d, int blocksize, BlockInverseScaleJob job)
HypreParMatrix *	Add (real_t alpha, const HypreParMatrix &A, real_t beta, const HypreParMatrix &B)
	Return a new matrix C = alpha*A + beta*B, assuming that both A and B use the same row and column partitions and the same col_map_offd arrays.
HypreParMatrix *	ParAdd (const HypreParMatrix *A, const HypreParMatrix *B)
	Returns the matrix A + B.
HypreParMatrix *	ParMult (const HypreParMatrix *A, const HypreParMatrix *B, bool own_matrix)
HypreParMatrix *	RAP (const HypreParMatrix *A, const HypreParMatrix *P)
	Returns the matrix P^t * A * P.
HypreParMatrix *	RAP (const HypreParMatrix *Rt, const HypreParMatrix *A, const HypreParMatrix *P)
	Returns the matrix Rt^t * A * P.
void	GatherBlockOffsetData (MPI_Comm comm, const int rank, const int nprocs, const int num_loc, const Array< int > &offsets, std::vector< int > &all_num_loc, const int numBlocks, std::vector< std::vector< HYPRE_BigInt > > &blockProcOffsets, std::vector< HYPRE_BigInt > &procOffsets, std::vector< std::vector< int > > &procBlockOffsets, HYPRE_BigInt &firstLocal, HYPRE_BigInt &globalNum)
HypreParMatrix *	HypreParMatrixFromBlocks (Array2D< const HypreParMatrix * > &blocks, Array2D< real_t > *blockCoeff=NULL)
	Returns a merged hypre matrix constructed from hypre matrix blocks.
HypreParMatrix *	HypreParMatrixFromBlocks (Array2D< HypreParMatrix * > &blocks, Array2D< real_t > *blockCoeff=NULL)
	This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.
void	EliminateBC (const HypreParMatrix &A, const HypreParMatrix &Ae, const Array< int > &ess_dof_list, const Vector &X, Vector &B)
	Eliminate essential BC specified by ess_dof_list from the solution X to the r.h.s. B.
int	ParCSRRelax_Taubin (hypre_ParCSRMatrix *A, hypre_ParVector *f, real_t lambda, real_t mu, int N, real_t max_eig, hypre_ParVector *u, hypre_ParVector *r)
int	ParCSRRelax_FIR (hypre_ParCSRMatrix *A, hypre_ParVector *f, real_t max_eig, int poly_order, real_t *fir_coeffs, hypre_ParVector *u, hypre_ParVector *x0, hypre_ParVector *x1, hypre_ParVector *x2, hypre_ParVector *x3)
MemoryClass	GetHypreMemoryClass ()
	The MemoryClass used by Hypre objects.
MemoryType	GetHypreMemoryType ()
	The MemoryType used by MFEM when allocating arrays for Hypre objects.
HypreParMatrix *	DiscreteGrad (ParFiniteElementSpace *edge_fespace, ParFiniteElementSpace *vert_fespace)
	Compute the discrete gradient matrix between the nodal linear and ND1 spaces.
HypreParMatrix *	DiscreteCurl (ParFiniteElementSpace *face_fespace, ParFiniteElementSpace *edge_fespace)
	Compute the discrete curl matrix between the ND1 and RT0 spaces.
bool	IsIdentityProlongation (const Operator *P)
void	MFEMInitializePetsc ()
	Convenience functions to initialize/finalize PETSc.
void	MFEMInitializePetsc (int *argc, char ***argv)
void	MFEMInitializePetsc (int *argc, char ***argv, const char rc_file[], const char help[])
void	MFEMFinalizePetsc ()
PetscParMatrix *	TripleMatrixProduct (PetscParMatrix *R, PetscParMatrix *A, PetscParMatrix *P)
	Returns the matrix R * A * P.
PetscParMatrix *	RAP (PetscParMatrix *Rt, PetscParMatrix *A, PetscParMatrix *P)
	Returns the matrix Rt^t * A * P.
PetscParMatrix *	RAP (PetscParMatrix *A, PetscParMatrix *P)
	Returns the matrix P^t * A * P.
PetscParMatrix *	RAP (HypreParMatrix *A, PetscParMatrix *P)
	Returns the matrix P^t * A * P.
PetscParMatrix *	ParMult (const PetscParMatrix *A, const PetscParMatrix *B)
	Returns the matrix A * B.
void	EliminateBC (PetscParMatrix &A, PetscParMatrix &Ae, const Array< int > &ess_dof_list, const Vector &X, Vector &B)
	Eliminate essential BC specified by ess_dof_list from the solution X to the r.h.s. B.
void	MFEMInitializeSlepc ()
void	MFEMInitializeSlepc (int *argc, char ***argv)
void	MFEMInitializeSlepc (int *argc, char ***argv, const char rc_file[], const char help[])
void	MFEMFinalizeSlepc ()
void	SLI (const Operator &A, const Vector &b, Vector &x, int print_iter=0, int max_num_iter=1000, real_t RTOLERANCE=1e-12, real_t ATOLERANCE=1e-24)
	Stationary linear iteration. (tolerances are squared)
void	SLI (const Operator &A, Solver &B, const Vector &b, Vector &x, int print_iter=0, int max_num_iter=1000, real_t RTOLERANCE=1e-12, real_t ATOLERANCE=1e-24)
	Preconditioned stationary linear iteration. (tolerances are squared)
void	CG (const Operator &A, const Vector &b, Vector &x, int print_iter=0, int max_num_iter=1000, real_t RTOLERANCE=1e-12, real_t ATOLERANCE=1e-24)
	Conjugate gradient method. (tolerances are squared)
void	PCG (const Operator &A, Solver &B, const Vector &b, Vector &x, int print_iter=0, int max_num_iter=1000, real_t RTOLERANCE=1e-12, real_t ATOLERANCE=1e-24)
	Preconditioned conjugate gradient method. (tolerances are squared)
void	GeneratePlaneRotation (real_t &dx, real_t &dy, real_t &cs, real_t &sn)
void	ApplyPlaneRotation (real_t &dx, real_t &dy, real_t &cs, real_t &sn)
void	Update (Vector &x, int k, DenseMatrix &h, Vector &s, Array< Vector * > &v)
int	GMRES (const Operator &A, Vector &x, const Vector &b, Solver &M, int &max_iter, int m, real_t &tol, real_t atol, int printit)
	GMRES method. (tolerances are squared)
void	GMRES (const Operator &A, Solver &B, const Vector &b, Vector &x, int print_iter=0, int max_num_iter=1000, int m=50, real_t rtol=1e-12, real_t atol=1e-24)
	GMRES method. (tolerances are squared)
int	BiCGSTAB (const Operator &A, Vector &x, const Vector &b, Solver &M, int &max_iter, real_t &tol, real_t atol, int printit)
	BiCGSTAB method. (tolerances are squared)
void	BiCGSTAB (const Operator &A, Solver &B, const Vector &b, Vector &x, int print_iter=0, int max_num_iter=1000, real_t rtol=1e-12, real_t atol=1e-24)
	BiCGSTAB method. (tolerances are squared)
void	MINRES (const Operator &A, const Vector &b, Vector &x, int print_it=0, int max_it=1000, real_t rtol=1e-12, real_t atol=1e-24)
	MINRES method without preconditioner. (tolerances are squared)
void	MINRES (const Operator &A, Solver &B, const Vector &b, Vector &x, int print_it=0, int max_it=1000, real_t rtol=1e-12, real_t atol=1e-24)
	MINRES method with preconditioner. (tolerances are squared)
int	aGMRES (const Operator &A, Vector &x, const Vector &b, const Operator &M, int &max_iter, int m_max, int m_min, int m_step, real_t cf, real_t &tol, real_t &atol, int printit)
void	MinimumDiscardedFillOrdering (SparseMatrix &C, Array< int > &p)
void	sormqr_ (char *, char *, int *, int *, int *, float *, int *, float *, float *, int *, float *, int *, int *)
void	sgeqrf_ (int *, int *, float *, int *, float *, float *, int *, int *)
void	sgemv_ (char *, int *, int *, float *, float *, int *, float *, int *, float *, float *, int *)
void	strsm_ (char *side, char *uplo, char *transa, char *diag, int *m, int *n, float *alpha, float *a, int *lda, float *b, int *ldb)
void	dormqr_ (char *, char *, int *, int *, int *, double *, int *, double *, double *, int *, double *, int *, int *)
void	dgeqrf_ (int *, int *, double *, int *, double *, double *, int *, int *)
void	dgemv_ (char *, int *, int *, double *, double *, int *, double *, int *, double *, double *, int *)
void	dtrsm_ (char *side, char *uplo, char *transa, char *diag, int *m, int *n, double *alpha, double *a, int *lda, double *b, int *ldb)
void	SparseMatrixFunction (SparseMatrix &S, real_t(*f)(real_t))
	Applies f() to each element of the matrix (after it is finalized).
SparseMatrix *	Transpose (const SparseMatrix &A)
	Transpose of a sparse matrix. A must be finalized.
SparseMatrix *	TransposeAbstractSparseMatrix (const AbstractSparseMatrix &A, int useActualWidth)
	Transpose of a sparse matrix. A does not need to be a CSR matrix.
SparseMatrix *	Mult (const SparseMatrix &A, const SparseMatrix &B, SparseMatrix *OAB=NULL)
	Matrix product A.B.
SparseMatrix *	TransposeMult (const SparseMatrix &A, const SparseMatrix &B)
	C = A^T B.
SparseMatrix *	MultAbstractSparseMatrix (const AbstractSparseMatrix &A, const AbstractSparseMatrix &B)
	Matrix product of sparse matrices. A and B do not need to be CSR matrices.
DenseMatrix *	Mult (const SparseMatrix &A, DenseMatrix &B)
	Matrix product A.B.
DenseMatrix *	RAP (const SparseMatrix &A, DenseMatrix &P)
	RAP matrix product (with R=P^T)
DenseMatrix *	RAP (DenseMatrix &A, const SparseMatrix &P)
	RAP matrix product (with R=P^T)
SparseMatrix *	RAP (const SparseMatrix &A, const SparseMatrix &R, SparseMatrix *ORAP)
SparseMatrix *	RAP (const SparseMatrix &Rt, const SparseMatrix &A, const SparseMatrix &P)
	General RAP with given R^T, A and P.
SparseMatrix *	Mult_AtDA (const SparseMatrix &A, const Vector &D, SparseMatrix *OAtDA=NULL)
	Matrix multiplication A^t D A. All matrices must be finalized.
SparseMatrix *	Add (real_t a, const SparseMatrix &A, real_t b, const SparseMatrix &B)
	Matrix addition result = a*A + b*B.
SparseMatrix *	Add (const SparseMatrix &A, const SparseMatrix &B)
	Matrix addition result = A + B.
SparseMatrix *	Add (Array< SparseMatrix * > &Ai)
	Matrix addition result = sum_i A_i.
void	Add (const SparseMatrix &A, real_t alpha, DenseMatrix &B)
	B += alpha * A.
DenseMatrix *	OuterProduct (const DenseMatrix &A, const DenseMatrix &B)
	Produces a block matrix with blocks A_{ij}*B.
SparseMatrix *	OuterProduct (const DenseMatrix &A, const SparseMatrix &B)
	Produces a block matrix with blocks A_{ij}*B.
SparseMatrix *	OuterProduct (const SparseMatrix &A, const DenseMatrix &B)
	Produces a block matrix with blocks A_{ij}*B.
SparseMatrix *	OuterProduct (const SparseMatrix &A, const SparseMatrix &B)
	Produces a block matrix with blocks A_{ij}*B.
std::ostream &	operator<< (std::ostream &os, SparseMatrix const &mat)
template<>
void	Swap< SparseMatrix > (SparseMatrix &a, SparseMatrix &b)
	Specialization of the template function Swap<> for class SparseMatrix.
template<bool Add, typename A_layout_t , typename A_data_t , typename B_layout_t , typename B_data_t , typename C_layout_t , typename C_data_t >
MFEM_ALWAYS_INLINE void	sMult_AB (const A_layout_t &A_layout, const A_data_t &A_data, const B_layout_t &B_layout, const B_data_t &B_data, const C_layout_t &C_layout, C_data_t &C_data)
template<int bA1, int bA2, int bB2, bool Add, typename A_layout_t , typename A_data_t , typename B_layout_t , typename B_data_t , typename C_layout_t , typename C_data_t >
MFEM_ALWAYS_INLINE void	bMult_AB (const A_layout_t &A_layout, const A_data_t &A_data, const B_layout_t &B_layout, const B_data_t &B_data, const C_layout_t &C_layout, C_data_t &C_data)
template<bool Add, typename A_layout_t , typename A_data_t , typename B_layout_t , typename B_data_t , typename C_layout_t , typename C_data_t >
MFEM_ALWAYS_INLINE void	Mult_AB (const A_layout_t &A_layout, const A_data_t &A_data, const B_layout_t &B_layout, const B_data_t &B_data, const C_layout_t &C_layout, C_data_t &C_data)
template<typename scalar_t , typename layout_t , typename data_t >
scalar_t	TDet (const layout_t &a, const data_t &A)
template<typename scalar_t , typename layout_t , typename data_t >
MFEM_HOST_DEVICE scalar_t	TDetHD (const layout_t &a, const data_t &A)
template<AssignOp::Type Op, typename A_layout_t , typename A_data_t , typename D_data_t >
void	TDet (const A_layout_t &a, const A_data_t &A, D_data_t &D)
template<typename scalar_t , typename A_layout_t , typename A_data_t , typename B_layout_t , typename B_data_t >
void	TAdjugate (const A_layout_t &a, const A_data_t &A, const B_layout_t &b, B_data_t &B)
template<typename scalar_t , typename A_layout_t , typename A_data_t , typename B_layout_t , typename B_data_t >
MFEM_HOST_DEVICE void	TAdjugateHD (const A_layout_t &a, const A_data_t &A, const B_layout_t &b, B_data_t &B)
template<typename scalar_t , typename A_layout_t , typename A_data_t , typename B_layout_t , typename B_data_t >
scalar_t	TAdjDet (const A_layout_t &a, const A_data_t &A, const B_layout_t &b, B_data_t &B)
template<typename scalar_t , typename A_layout_t , typename A_data_t , typename B_layout_t , typename B_data_t >
MFEM_HOST_DEVICE scalar_t	TAdjDetHD (const A_layout_t &a, const A_data_t &A, const B_layout_t &b, B_data_t &B)
template<AssignOp::Type Op, typename A_layout_t , typename A_data_t , typename scalar_t >
void	TAssign (const A_layout_t &A_layout, A_data_t &A_data, const scalar_t value)
template<AssignOp::Type Op, typename A_layout_t , typename A_data_t , typename scalar_t >
MFEM_HOST_DEVICE void	TAssignHD (const A_layout_t &A_layout, A_data_t &A_data, const scalar_t value)
template<AssignOp::Type Op, typename A_layout_t , typename A_data_t , typename B_layout_t , typename B_data_t >
void	TAssign (const A_layout_t &A_layout, A_data_t &A_data, const B_layout_t &B_layout, const B_data_t &B_data)
template<bool Add, typename A_layout_t , typename A_data_t , typename B_layout_t , typename B_data_t , typename C_layout_t , typename C_data_t >
MFEM_ALWAYS_INLINE void	Mult_1_2 (const A_layout_t &A_layout, const A_data_t &A_data, const B_layout_t &B_layout, const B_data_t &B_data, const C_layout_t &C_layout, C_data_t &C_data)
template<bool Add, typename A_layout_t , typename A_data_t , typename B_layout_t , typename B_data_t , typename C_layout_t , typename C_data_t >
MFEM_ALWAYS_INLINE void	Mult_2_1 (const A_layout_t &A_layout, const A_data_t &A_data, const B_layout_t &B_layout, const B_data_t &B_data, const C_layout_t &C_layout, C_data_t &C_data)
template<bool Add, typename A_layout_t , typename A_data_t , typename B_layout_t , typename B_data_t , typename C_layout_t , typename C_data_t >
MFEM_ALWAYS_INLINE void	TensorAssemble (const A_layout_t &A_layout, const A_data_t &A_data, const B_layout_t &B_layout, const B_data_t &B_data, const C_layout_t &C_layout, C_data_t &C_data)
template<bool Add, typename A_layout_t , typename A_data_t , typename B_layout_t , typename B_data_t , typename C_layout_t , typename C_data_t , typename D_layout_t , typename D_data_t >
MFEM_ALWAYS_INLINE void	TensorAssemble (const A_layout_t &A_layout, const A_data_t &A_data, const B_layout_t &B_layout, const B_data_t &B_data, const C_layout_t &C_layout, const C_data_t &C_data, const D_layout_t &D_layout, D_data_t &D_data)
template<AssignOp::Type Op, typename A_layout_t , typename A_data_t , typename B_layout_t , typename B_data_t , typename C_layout_t , typename C_data_t >
MFEM_ALWAYS_INLINE void	TensorProduct (const A_layout_t &a, const A_data_t &A, const B_layout_t &b, const B_data_t &B, const C_layout_t &c, C_data_t &C)
void	add (const Vector &v1, const Vector &v2, Vector &v)
void	add (const Vector &v1, real_t alpha, const Vector &v2, Vector &v)
void	add (const real_t a, const Vector &x, const Vector &y, Vector &z)
void	add (const real_t a, const Vector &x, const real_t b, const Vector &y, Vector &z)
void	subtract (const Vector &x, const Vector &y, Vector &z)
void	subtract (const real_t a, const Vector &x, const Vector &y, Vector &z)
int	CheckFinite (const real_t *v, const int n)
real_t	infinity ()
	Define a shortcut for std::numeric_limits<double>::infinity()
real_t	rand_real ()
	Generate a random real_t number in the interval [0,1) using rand().
template<typename T >
T	ZeroSubnormal (T val)
bool	IsFinite (const real_t &val)
template<>
void	Swap< Vector > (Vector &a, Vector &b)
	Specialization of the template function Swap<> for class Vector.
real_t	DistanceSquared (const real_t *x, const real_t *y, const int n)
real_t	Distance (const real_t *x, const real_t *y, const int n)
real_t	Distance (const Vector &x, const Vector &y)
real_t	InnerProduct (const Vector &x, const Vector &y)
	Returns the inner product of x and y.
real_t	InnerProduct (MPI_Comm comm, const Vector &x, const Vector &y)
	Returns the inner product of x and y in parallel.
template<typename scalar_t , int S, int A>
MFEM_ALWAYS_INLINE AutoSIMD< scalar_t, S, A >	operator+ (const scalar_t &e, const AutoSIMD< scalar_t, S, A > &v)
template<typename scalar_t , int S, int A>
MFEM_ALWAYS_INLINE AutoSIMD< scalar_t, S, A >	operator- (const scalar_t &e, const AutoSIMD< scalar_t, S, A > &v)
template<typename scalar_t , int S, int A>
MFEM_ALWAYS_INLINE AutoSIMD< scalar_t, S, A >	operator* (const scalar_t &e, const AutoSIMD< scalar_t, S, A > &v)
template<typename scalar_t , int S, int A>
MFEM_ALWAYS_INLINE AutoSIMD< scalar_t, S, A >	operator/ (const scalar_t &e, const AutoSIMD< scalar_t, S, A > &v)
MFEM_ALWAYS_INLINE AutoSIMD< double, 2, 16 >	operator+ (const double &e, const AutoSIMD< double, 2, 16 > &v)
MFEM_ALWAYS_INLINE AutoSIMD< double, 2, 16 >	operator- (const double &e, const AutoSIMD< double, 2, 16 > &v)
MFEM_ALWAYS_INLINE AutoSIMD< double, 2, 16 >	operator* (const double &e, const AutoSIMD< double, 2, 16 > &v)
MFEM_ALWAYS_INLINE AutoSIMD< double, 2, 16 >	operator/ (const double &e, const AutoSIMD< double, 2, 16 > &v)
MFEM_ALWAYS_INLINE AutoSIMD< double, 4, 32 >	operator+ (const double &e, const AutoSIMD< double, 4, 32 > &v)
MFEM_ALWAYS_INLINE AutoSIMD< double, 4, 32 >	operator- (const double &e, const AutoSIMD< double, 4, 32 > &v)
MFEM_ALWAYS_INLINE AutoSIMD< double, 4, 32 >	operator* (const double &e, const AutoSIMD< double, 4, 32 > &v)
MFEM_ALWAYS_INLINE AutoSIMD< double, 4, 32 >	operator/ (const double &e, const AutoSIMD< double, 4, 32 > &v)
MFEM_ALWAYS_INLINE AutoSIMD< double, 8, 64 >	operator+ (const double &e, const AutoSIMD< double, 8, 64 > &v)
MFEM_ALWAYS_INLINE AutoSIMD< double, 8, 64 >	operator- (const double &e, const AutoSIMD< double, 8, 64 > &v)
MFEM_ALWAYS_INLINE AutoSIMD< double, 8, 64 >	operator* (const double &e, const AutoSIMD< double, 8, 64 > &v)
MFEM_ALWAYS_INLINE AutoSIMD< double, 8, 64 >	operator/ (const double &e, const AutoSIMD< double, 8, 64 > &v)
int	BarycentricToGmshTet (int *b, int ref)
int	CartesianToGmshQuad (int idx_in[], int ref)
int	CartesianToGmshHex (int idx_in[], int ref)
int	WedgeToGmshPri (int idx_in[], int ref)
int	CartesianToGmshPyramid (int idx_in[], int ref)
std::ostream &	operator<< (std::ostream &os, const Mesh::FaceInformation &info)
	Print function for Mesh::FaceInformation.
void	XYZ_VectorFunction (const Vector &p, Vector &v)
void	FindPartitioningComponents (Table &elem_elem, const Array< int > &partitioning, Array< int > &component, Array< int > &num_comp)
void	DetOfLinComb (const DenseMatrix &A, const DenseMatrix &B, Vector &c)
int	FindRoots (const Vector &z, Vector &x)
void	FindTMax (Vector &c, Vector &x, real_t &tmax, const real_t factor, const int Dim)
std::ostream &	operator<< (std::ostream &os, const Mesh &mesh)
Mesh *	Extrude1D (Mesh *mesh, const int ny, const real_t sy, const bool closed=false)
	Extrude a 1D mesh.
Mesh *	Extrude2D (Mesh *mesh, const int nz, const real_t sz)
	Extrude a 2D mesh.
void	ShiftRight (int &a, int &b, int &c)
bool	CubeFaceLeft (int node, int *n)
bool	CubeFaceRight (int node, int *n)
bool	CubeFaceFront (int node, int *n)
bool	CubeFaceBack (int node, int *n)
bool	CubeFaceBottom (int node, int *n)
bool	CubeFaceTop (int node, int *n)
bool	PrismFaceBottom (int node, int *n)
bool	PrismFaceTop (int node, int *n)
void	Swap (CoarseFineTransformations &a, CoarseFineTransformations &b)
NURBSPatch *	Interpolate (NURBSPatch &p1, NURBSPatch &p2)
NURBSPatch *	Revolve3D (NURBSPatch &patch, real_t n[], real_t ang, int times)
bool	operator< (const ParNCMesh::CommGroup &lhs, const ParNCMesh::CommGroup &rhs)
bool	operator< (const NCMesh::MeshId &a, const NCMesh::MeshId &b)
bool	operator== (const NCMesh::MeshId &a, const NCMesh::MeshId &b)
std::unique_ptr< SpacingFunction >	GetSpacingFunction (const SpacingType type, Array< int > const &ipar, Vector const &dpar)
	Returns a new SpacingFunction instance defined by the type and parameters.
int	BarycentricToVTKTriangle (int *b, int ref)
	Return the VTK node index of the barycentric point b in a triangle with refinement level ref.
int	BarycentricToVTKTetra (int *b, int ref)
int	VTKTriangleDOFOffset (int ref, int i, int j)
int	CartesianToVTKPrism (int i, int j, int k, int ref)
int	CartesianToVTKTensor (int idx_in, int ref, Geometry::Type geom)
void	CreateVTKElementConnectivity (Array< int > &con, Geometry::Type geom, int ref)
	Create the VTK element connectivity array for a given element geometry and refinement level.
void	WriteVTKEncodedCompressed (std::ostream &os, const void *bytes, uint32_t nbytes, int compression_level)
	Outputs encoded binary data in the base 64 format needed by VTK.
bool	IsBigEndian ()
const char *	VTKByteOrder ()
	Determine the byte order and return either "BigEndian" or "LittleEndian".
template<>
void	WriteBinaryOrASCII< uint8_t > (std::ostream &os, std::vector< char > &buf, const uint8_t &val, const char *suffix, VTKFormat format)
	Specialization of WriteBinaryOrASCII for uint8_t to ensure ASCII output is numeric (rather than interpreting val as a character.)
template<>
void	WriteBinaryOrASCII< double > (std::ostream &os, std::vector< char > &buf, const double &val, const char *suffix, VTKFormat format)
	Specialization of WriteBinaryOrASCII for double.
template<>
void	WriteBinaryOrASCII< float > (std::ostream &os, std::vector< char > &buf, const float &val, const char *suffix, VTKFormat format)
	Specialization of WriteBinaryOrASCII<T> for float.
void	WriteBase64WithSizeAndClear (std::ostream &os, std::vector< char > &buf, int compression_level)
	Encode in base 64 (and potentially compress) the given data, write it to the output stream (with a header) and clear the buffer.
template<typename T >
void	WriteBinaryOrASCII (std::ostream &os, std::vector< char > &buf, const T &val, const char *suffix, VTKFormat format)
	Write either ASCII data to the stream or binary data to the buffer depending on the given format.
template<>
void	WriteBinaryOrASCII< uint8_t > (std::ostream &os, std::vector< char > &buf, const uint8_t &val, const char *suffix, VTKFormat format)
	Specialization of WriteBinaryOrASCII for uint8_t to ensure ASCII output is numeric (rather than interpreting val as a character.)
template<>
void	WriteBinaryOrASCII< double > (std::ostream &os, std::vector< char > &buf, const double &val, const char *suffix, VTKFormat format)
	Specialization of WriteBinaryOrASCII for double.
template<>
void	WriteBinaryOrASCII< float > (std::ostream &os, std::vector< char > &buf, const float &val, const char *suffix, VTKFormat format)
	Specialization of WriteBinaryOrASCII<T> for float.
ElementTransformation *	RefinedToCoarse (Mesh &coarse_mesh, const ElementTransformation &T, const IntegrationPoint &ip, IntegrationPoint &coarse_ip)
real_t	LpNormLoop (real_t p, Coefficient &coeff, Mesh &mesh, const IntegrationRule *irs[])
real_t	LpNormLoop (real_t p, VectorCoefficient &coeff, Mesh &mesh, const IntegrationRule *irs[])
real_t	ComputeLpNorm (real_t p, Coefficient &coeff, Mesh &mesh, const IntegrationRule *irs[])
	Compute the Lp norm of a function f. \( \| f \|_{Lp} = ( \int_\Omega | f |^p d\Omega)^{1/p} \).
real_t	ComputeLpNorm (real_t p, VectorCoefficient &coeff, Mesh &mesh, const IntegrationRule *irs[])
	Compute the Lp norm of a vector function f = {f_i}_i=1...N. \( \| f \|_{Lp} = ( \sum_i \| f_i \|_{Lp}^p )^{1/p} \).
real_t	ComputeGlobalLpNorm (real_t p, Coefficient &coeff, ParMesh &pmesh, const IntegrationRule *irs[])
	Compute the global Lp norm of a function f. \( \| f \|_{Lp} = ( \int_\Omega | f |^p d\Omega)^{1/p} \).
real_t	ComputeGlobalLpNorm (real_t p, VectorCoefficient &coeff, ParMesh &pmesh, const IntegrationRule *irs[])
	Compute the global Lp norm of a vector function f = {f_i}_i=1...N. \( \| f \|_{Lp} = ( \sum_i \| f_i \|_{Lp}^p )^{1/p} \).
CoefficientStorage	operator| (CoefficientStorage a, CoefficientStorage b)
int	operator& (CoefficientStorage a, CoefficientStorage b)
void	TransformPrimal (const DofTransformation *ran_dof_trans, const DofTransformation *dom_dof_trans, DenseMatrix &elmat)
void	TransformDual (const DofTransformation *ran_dof_trans, const DofTransformation *dom_dof_trans, DenseMatrix &elmat)
template<>
void	Ordering::DofsToVDofs< Ordering::byNODES > (int ndofs, int vdim, Array< int > &dofs)
template<>
void	Ordering::DofsToVDofs< Ordering::byVDIM > (int ndofs, int vdim, Array< int > &dofs)
void	MarkDofs (const Array< int > &dofs, Array< int > &mark_array)
ElementDofOrdering	GetEVectorOrdering (const FiniteElementSpace &fes)
	Return LEXICOGRAPHIC if mesh contains only one topology and the elements are tensor elements, otherwise, return NATIVE.
template<>
int	Ordering::Map< Ordering::byNODES > (int ndofs, int vdim, int dof, int vd)
template<>
int	Ordering::Map< Ordering::byVDIM > (int ndofs, int vdim, int dof, int vd)
bool	UsesTensorBasis (const FiniteElementSpace &fes)
	Return true if the mesh contains only one topology and the elements are tensor elements.
template<typename DataType >
int	FmsFieldToGridFunction (FmsMesh fms_mesh, FmsField f, Mesh *mesh, GridFunction &func, bool setFE)
	This function converts an FmsField to an MFEM GridFunction.
int	FmsMeshToMesh (FmsMesh fms_mesh, Mesh **mfem_mesh)
bool	BasisTypeToFmsBasisType (int bt, FmsBasisType &btype)
int	GridFunctionToFmsField (FmsDataCollection dc, FmsComponent comp, const std::string &fd_name, const std::string &field_name, const Mesh *mesh, const GridFunction *gf, FmsField *outfield)
bool	MfemMetaDataToFmsMetaData (DataCollection *mdc, FmsDataCollection fdc)
bool	FmsMetaDataGetInteger (FmsMetaData mdata, const std::string &key, std::vector< int > &values)
bool	FmsMetaDataGetScalar (FmsMetaData mdata, const std::string &key, std::vector< double > &values)
bool	FmsMetaDataGetString (FmsMetaData mdata, const std::string &key, std::string &value)
int	FmsDataCollectionToDataCollection (FmsDataCollection dc, DataCollection **mfem_dc)
int	MeshToFmsMesh (const Mesh *mmesh, FmsMesh *fmesh, FmsComponent *volume)
int	DataCollectionToFmsDataCollection (DataCollection *mfem_dc, FmsDataCollection *dc)
template<Geometry::Type GEOM>
int	GetInverseOrientation_ (int orientation)
std::ostream &	operator<< (std::ostream &os, const GridFunction &sol)
real_t	ZZErrorEstimator (BilinearFormIntegrator &blfi, GridFunction &u, GridFunction &flux, Vector &error_estimates, Array< int > *aniso_flags, int with_subdomains, bool with_coeff)
void	TensorProductLegendre (int dim, int order, const Vector &x_in, const Vector &xmax, const Vector &xmin, Vector &poly, real_t angle=0.0, const Vector *midpoint=NULL)
	Defines the global tensor product polynomial space used by NewZZErorrEstimator.
void	BoundingBox (const Array< int > &face_patch, FiniteElementSpace *ufes, int order, Vector &xmin, Vector &xmax, real_t &angle, Vector &midpoint, int iface=-1)
	Defines the bounding box for the face patches used by NewZZErorrEstimator.
real_t	LSZZErrorEstimator (BilinearFormIntegrator &blfi, GridFunction &u, Vector &error_estimates, bool subdomain_reconstruction=true, bool with_coeff=false, real_t tichonov_coeff=0.0)
	A `‘true’' ZZ error estimator that uses face-based patches for flux reconstruction.
real_t	ComputeElementLpDistance (real_t p, int i, GridFunction &gf1, GridFunction &gf2)
	Compute the Lp distance between two grid functions on the given element.
GridFunction *	Extrude1DGridFunction (Mesh *mesh, Mesh *mesh2d, GridFunction *sol, const int ny)
	Extrude a scalar 1D GridFunction, after extruding the mesh with Extrude1D.
std::ostream &	operator<< (std::ostream &out, const QuadratureFunction &qf)
	Overload operator<< for std::ostream and QuadratureFunction.
real_t	GlobalLpNorm (const real_t p, real_t loc_norm, MPI_Comm comm)
	Compute a global Lp norm from the local Lp norms computed by each processor.
real_t	L2ZZErrorEstimator (BilinearFormIntegrator &flux_integrator, const ParGridFunction &x, ParFiniteElementSpace &smooth_flux_fes, ParFiniteElementSpace &flux_fes, Vector &errors, int norm_p, real_t solver_tol, int solver_max_it)
int	PermuteFaceL2 (const int dim, const int face_id1, const int face_id2, const int orientation, const int size1d, const int index)
	Compute the dof face index of elem2 corresponding to the given dof face index.
int	ToLexOrdering (const int dim, const int face_id, const int size1d, const int index)
	Convert a dof face index from Native ordering to lexicographic ordering for quads and hexes.
Vector	GetLVectorFaceNbrData (const FiniteElementSpace &fes, const Vector &x, FaceType ftype)
	Return the face-neighbor data given the L-vector x.
template<typename real_t >
void	CalcShapeMatrix (const FiniteElement &fe, const IntegrationRule &ir, real_t *B, const Array< int > *dof_map=NULL)
	Store mass-like matrix B for each integration point on the reference element. For tensor product evaluation, this is only called on the 1D reference element, and higher dimensions are put together from that. The element mass matrix can be written \( M_E = B^T D_E B \) where the B built here is the B, and is unchanging across the mesh. The diagonal matrix \( D_E \) then contains all the element-specific geometry and physics data.
template<typename real_t >
void	CalcGradTensor (const FiniteElement &fe, const IntegrationRule &ir, real_t *G, const Array< int > *dof_map=NULL)
	store gradient matrix G for each integration point on the reference element. For tensor product evaluation, this is only called on the 1D reference element, and higher dimensions are put together from that. The element stiffness matrix can be written
template<typename real_t >
void	CalcShapes (const FiniteElement &fe, const IntegrationRule &ir, real_t *B, real_t *G, const Array< int > *dof_map)
void	InterpolateTMOP_QualityMetric (TMOP_QualityMetric &metric, const TargetConstructor &tc, const Mesh &mesh, GridFunction &metric_gf)
	Interpolates the metric's values at the nodes of metric_gf.
void	vis_tmop_metric_p (int order, TMOP_QualityMetric &qm, const TargetConstructor &tc, ParMesh &pmesh, char *title, int position)
void	vis_tmop_metric_s (int order, TMOP_QualityMetric &qm, const TargetConstructor &tc, Mesh &mesh, char *title, int position)
bool	DeviceCanUseCeed ()
	Function that determines if a CEED kernel should be used, based on the current mfem::Device configuration.
void	InvertLinearTrans (ElementTransformation &trans, const IntegrationPoint &pt, Vector &x)
template<typename FEC >
void	CheckScalarBasisType (const FiniteElementSpace &fes)
template<typename FEC >
void	CheckVectorBasisType (const FiniteElementSpace &fes)
void	CheckBasisType (const FiniteElementSpace &fes)
template<typename T >
T *	StealPointer (T *&ptr)
template<typename T1 , typename T2 >
bool	HasIntegrators (BilinearForm &a)
IntegrationRule	GetCollocatedIntRule (FiniteElementSpace &fes)
template<typename T >
void	EnsureCapacity (Memory< T > &mem, int capacity)
	Ensure that mem has at least capacity capacity.
template<typename INTEGRATOR >
void	ProjectLORCoefficient (BilinearForm &a, CoefficientVector &coeff_vector)
MFEM_HOST_DEVICE real_t	Det2D (DeviceMatrix &J)
MFEM_HOST_DEVICE real_t	Det3D (DeviceMatrix &J)
template<int ORDER, int SDIM = 2>
MFEM_HOST_DEVICE void	LORVertexCoordinates2D (const real_t *X, int iel_ho, int kx, int ky, real_t **v)
template<int ORDER>
MFEM_HOST_DEVICE void	LORVertexCoordinates3D (const real_t *X, int iel_ho, int kx, int ky, int kz, real_t vx[8], real_t vy[8], real_t vz[8])
template<int SDIM = 2>
MFEM_HOST_DEVICE void	Jacobian2D (const real_t x, const real_t y, real_t **v, DeviceMatrix &J)
template<>
MFEM_HOST_DEVICE void	Jacobian2D< 2 > (const real_t x, const real_t y, real_t **v, DeviceMatrix &J)
template<>
MFEM_HOST_DEVICE void	Jacobian2D< 3 > (const real_t x, const real_t y, real_t **v, DeviceMatrix &J)
template<int ORDER, int SDIM, bool RT, bool ND>
MFEM_HOST_DEVICE void	SetupLORQuadData2D (const real_t *X, int iel_ho, int kx, int ky, DeviceTensor< 3 > &Q, bool piola)
MFEM_HOST_DEVICE void	Jacobian3D (const real_t x, const real_t y, const real_t z, const real_t vx[8], const real_t vy[8], const real_t vz[8], DeviceMatrix &J)
MFEM_HOST_DEVICE void	Adjugate3D (const DeviceMatrix &J, DeviceMatrix &A)
void	TransformToReference (ElementTransformation &Trans, int type, const Vector &physical_p, const double &w, IntegrationPoint &ref_p)
std::shared_ptr< Cut >	NewCut (const int dim)
template<int Dim>
void	BuildBoxes (const Mesh &mesh, std::vector<::moonolith::AABB< Dim, double > > &element_boxes)
bool	HashGridDetectIntersections (const Mesh &src, const Mesh &dest, std::vector< moonolith::Integer > &pairs)
int	order_multiplier (const Geometry::Type type, const int dim)
std::shared_ptr< HypreParMatrix >	convert_to_hypre_matrix (const std::vector< moonolith::Integer > &destination_ranges, HYPRE_BigInt *s_offsets, HYPRE_BigInt *m_offsets, moonolith::SparseMatrix< double > &mat_buffer)
void	InitTransfer (int argc, char *argv[])
	Initializes the par_moonolith library. It also calls MPI_Init.
int	FinalizeTransfer ()
	Finalize the par_moonolith library.
void	InitTransfer (int argc, char *argv[], MPI_Comm comm)
	Initializes the transfer library. It does not call MPI_Init, but uses the communicator defined by the user. This method can be called only after MPI_Init.
	MFEM_REGISTER_TMOP_KERNELS (void, DatcSize, const int NE, const int ncomp, const int sizeidx, const real_t input_min_size, const DenseMatrix &w_, const Array< real_t > &b_, const Vector &x_, const Vector &nc_reduce, DenseTensor &j_, const int d1d, const int q1d)
	MFEM_REGISTER_TMOP_KERNELS (void, AssembleDiagonalPA_Kernel_2D, const int NE, const Array< real_t > &b, const Array< real_t > &g, const DenseTensor &j, const Vector &h, Vector &diagonal, const int d1d, const int q1d)
	MFEM_REGISTER_TMOP_KERNELS (void, AssembleDiagonalPA_Kernel_C0_2D, const int NE, const Array< real_t > &b, const Vector &h0, Vector &diagonal, const int d1d, const int q1d)
	MFEM_REGISTER_TMOP_KERNELS (void, AddMultGradPA_Kernel_2D, const int NE, const Array< real_t > &b_, const Array< real_t > &g_, const DenseTensor &j_, const Vector &h_, const Vector &x_, Vector &y_, const int d1d, const int q1d)
	MFEM_REGISTER_TMOP_KERNELS (void, AddMultGradPA_Kernel_C0_2D, const int NE, const Array< real_t > &b_, const Vector &h0_, const Vector &r_, Vector &c_, const int d1d, const int q1d)
	MFEM_REGISTER_TMOP_KERNELS (void, SetupGradPA_2D, const Vector &x_, const real_t metric_normal, const Vector &mc_, const Array< real_t > &metric_param, const int mid, const int NE, const Array< real_t > &w_, const Array< real_t > &b_, const Array< real_t > &g_, const DenseTensor &j_, Vector &h_, const int d1d, const int q1d)
	MFEM_REGISTER_TMOP_KERNELS (void, SetupGradPA_C0_2D, const real_t lim_normal, const Vector &lim_dist, const Vector &c0_, const int NE, const DenseTensor &j_, const Array< real_t > &w_, const Array< real_t > &b_, const Array< real_t > &bld_, const Vector &x0_, const Vector &x1_, Vector &h0_, const bool exp_lim, const int d1d, const int q1d)
	MFEM_REGISTER_TMOP_KERNELS (void, AssembleDiagonalPA_Kernel_3D, const int NE, const Array< real_t > &b, const Array< real_t > &g, const DenseTensor &j, const Vector &h, Vector &diagonal, const int d1d, const int q1d)
	MFEM_REGISTER_TMOP_KERNELS (void, AssembleDiagonalPA_Kernel_C0_3D, const int NE, const Array< real_t > &b, const Vector &h0, Vector &diagonal, const int d1d, const int q1d)
	MFEM_REGISTER_TMOP_KERNELS (void, AddMultGradPA_Kernel_3D, const int NE, const Array< real_t > &b_, const Array< real_t > &g_, const DenseTensor &j_, const Vector &h_, const Vector &x_, Vector &y_, const int d1d, const int q1d)
	MFEM_REGISTER_TMOP_KERNELS (void, AddMultGradPA_Kernel_C0_3D, const int NE, const Array< real_t > &b_, const Vector &h0_, const Vector &r_, Vector &c_, const int d1d, const int q1d)
	MFEM_REGISTER_TMOP_KERNELS (void, SetupGradPA_3D, const real_t metric_normal, const Vector &mc_, const Array< real_t > &metric_param, const int mid, const Vector &x_, const int NE, const Array< real_t > &w_, const Array< real_t > &b_, const Array< real_t > &g_, const DenseTensor &j_, Vector &h_, const int d1d, const int q1d)
	MFEM_REGISTER_TMOP_KERNELS (void, SetupGradPA_Kernel_C0_3D, const real_t lim_normal, const Vector &lim_dist, const Vector &c0_, const int NE, const DenseTensor &j_, const Array< real_t > &w_, const Array< real_t > &b_, const Array< real_t > &bld_, const Vector &x0_, const Vector &x1_, Vector &h0_, const bool exp_lim, const int d1d, const int q1d)
	MFEM_REGISTER_TMOP_KERNELS (real_t, MinDetJpr_Kernel_2D, const int NE, const Array< real_t > &b_, const Array< real_t > &g_, const Vector &x_, Vector &DetJ, const int d1d, const int q1d)
	MFEM_REGISTER_TMOP_KERNELS (real_t, MinDetJpr_Kernel_3D, const int NE, const Array< real_t > &b_, const Array< real_t > &g_, const Vector &x_, Vector &DetJ, const int d1d, const int q1d)
	MFEM_REGISTER_TMOP_KERNELS (void, AddMultPA_Kernel_2D, const real_t metric_normal, const Vector &mc_, const Array< real_t > &metric_param, const int mid, const int NE, const DenseTensor &j_, const Array< real_t > &w_, const Array< real_t > &b_, const Array< real_t > &g_, const Vector &x_, Vector &y_, const int d1d, const int q1d)
	MFEM_REGISTER_TMOP_KERNELS (void, AddMultPA_Kernel_C0_2D, const real_t lim_normal, const Vector &lim_dist, const Vector &c0_, const int NE, const DenseTensor &j_, const Array< real_t > &w_, const Array< real_t > &b_, const Array< real_t > &bld_, const Vector &x0_, const Vector &x1_, Vector &y_, const bool exp_lim, const int d1d, const int q1d)
	MFEM_REGISTER_TMOP_KERNELS (void, AddMultPA_Kernel_3D, const real_t metric_normal, const Vector &mc_, const Array< real_t > &metric_param, const int mid, const int NE, const DenseTensor &j_, const Array< real_t > &w_, const Array< real_t > &b_, const Array< real_t > &g_, const Vector &x_, Vector &y_, const int d1d, const int q1d)
	MFEM_REGISTER_TMOP_KERNELS (void, AddMultPA_Kernel_C0_3D, const real_t lim_normal, const Vector &lim_dist, const Vector &c0_, const int NE, const DenseTensor &j_, const Array< real_t > &w_, const Array< real_t > &b_, const Array< real_t > &bld_, const Vector &x0_, const Vector &x1_, Vector &y_, const bool exp_lim, const int d1d, const int q1d)
	MFEM_REGISTER_TMOP_KERNELS (bool, TC_IDEAL_SHAPE_UNIT_SIZE_2D_KERNEL, const int NE, const DenseMatrix &w_, DenseTensor &j_, const int d1d, const int q1d)
	MFEM_REGISTER_TMOP_KERNELS (bool, TC_IDEAL_SHAPE_GIVEN_SIZE_2D_KERNEL, const int NE, const Array< real_t > &b_, const Array< real_t > &g_, const DenseMatrix &w_, const Vector &x_, DenseTensor &j_, const int d1d, const int q1d)
	MFEM_REGISTER_TMOP_KERNELS (bool, TC_IDEAL_SHAPE_UNIT_SIZE_3D_KERNEL, const int NE, const DenseMatrix &w_, DenseTensor &j_, const int d1d, const int q1d)
	MFEM_REGISTER_TMOP_KERNELS (bool, TC_IDEAL_SHAPE_GIVEN_SIZE_3D_KERNEL, const int NE, const Array< real_t > &b_, const Array< real_t > &g_, const DenseMatrix &w_, const Vector &x_, DenseTensor &j_, const int d1d, const int q1d)
	MFEM_REGISTER_TMOP_KERNELS (real_t, EnergyPA_2D, const real_t metric_normal, const Vector &mc_, const Array< real_t > &metric_param, const int mid, const int NE, const DenseTensor &j_, const Array< real_t > &w_, const Array< real_t > &b_, const Array< real_t > &g_, const Vector &x_, const Vector &ones, Vector &energy, const int d1d, const int q1d)
	MFEM_REGISTER_TMOP_KERNELS (real_t, EnergyPA_C0_2D, const real_t lim_normal, const Vector &lim_dist, const Vector &c0_, const int NE, const DenseTensor &j_, const Array< real_t > &w_, const Array< real_t > &b_, const Array< real_t > &bld_, const Vector &x0_, const Vector &x1_, const Vector &ones, Vector &energy, const bool exp_lim, const int d1d, const int q1d)
	MFEM_REGISTER_TMOP_KERNELS (real_t, EnergyPA_3D, const real_t metric_normal, const Vector &mc_, const Array< real_t > &metric_param, const int mid, const int NE, const DenseTensor &j_, const Array< real_t > &w_, const Array< real_t > &b_, const Array< real_t > &g_, const Vector &ones, const Vector &x_, Vector &energy, const int d1d, const int q1d)
	MFEM_REGISTER_TMOP_KERNELS (real_t, EnergyPA_C0_3D, const real_t lim_normal, const Vector &lim_dist, const Vector &c0_, const int NE, const DenseTensor &j_, const Array< real_t > &w_, const Array< real_t > &b_, const Array< real_t > &bld_, const Vector &x0_, const Vector &x1_, const Vector &ones, Vector &energy, const bool exp_lim, const int d1d, const int q1d)
std::function< void(const Vector &, Vector &)>	GetMovingVortexInit (const real_t radius, const real_t Minf, const real_t beta, const real_t gas_constant, const real_t specific_heat_ratio)
Mesh	EulerMesh (const int problem)
VectorFunctionCoefficient	EulerInitialCondition (const int problem, const real_t specific_heat_ratio, const real_t gas_constant)
real_t	inv_sigmoid (real_t x)
	Inverse sigmoid function.
real_t	sigmoid (real_t x)
	Sigmoid function.
real_t	der_sigmoid (real_t x)
	Derivative of sigmoid function.
template<typename dtype >
void	CalcAdjugate (const TAutoDiffDenseMatrix< dtype > &a, TAutoDiffDenseMatrix< dtype > &adja)
void	ComputeInverse (const Array< real_t > &A, Array< real_t > &Ainv)
	Compute the inverse of the matrix A and store the result in Ainv.
void	SubcellIntegrals (int n, const Poly_1D::Basis &basis, Array< real_t > &B)
void	Transpose (const Array< real_t > &B, Array< real_t > &Bt)
void	EliminateColumns (HypreParMatrix &D, const Array< int > &ess_dofs)
	Eliminates columns in the given HypreParMatrix.
void	FormElementToFace2D (int order, Array< int > &element2face)
void	FormElementToFace3D (int order, Array< int > &element2face)
HypreParMatrix *	FormDiscreteDivergenceMatrix (ParFiniteElementSpace &fes_rt, ParFiniteElementSpace &fes_l2, const Array< int > &ess_dofs)
void	Reciprocal (Vector &x)
	Replace x[i] with 1.0/x[i] for all i.
HypreParMatrix *	MakeDiagonalMatrix (Vector &diag, const ParFiniteElementSpace &fes)
	Return a new HypreParMatrix with given diagonal entries.
const IntegrationRule &	GetMassIntRule (FiniteElementSpace &fes_l2)
real_t	u (const Vector &xvec)
std::function< real_t(const Vector &)>	f (real_t mass_coeff)
void	u_vec (const Vector &xvec, Vector &u)
std::function< void(const Vector &, Vector &)>	f_vec (bool grad_div_problem)
void	FillWithRandomNumbers (std::vector< real_t > &x, real_t a=0.0, real_t b=1.0)
	Fills the vector x with random numbers between a and b.
void	FillWithRandomRotations (std::vector< real_t > &x)
real_t	detJ_r_function (const Vector &x, CartesianPML *pml)
	PML stretching functions: See https://doi.org/10.1006/jcph.1994.1159.
real_t	detJ_i_function (const Vector &x, CartesianPML *pml)
real_t	abs_detJ_2_function (const Vector &x, CartesianPML *pml)
void	Jt_J_detJinv_r_function (const Vector &x, CartesianPML *pml, DenseMatrix &M)
void	Jt_J_detJinv_i_function (const Vector &x, CartesianPML *pml, DenseMatrix &M)
void	abs_Jt_J_detJinv_2_function (const Vector &x, CartesianPML *pml, DenseMatrix &M)
void	detJ_Jt_J_inv_r_function (const Vector &x, CartesianPML *pml, DenseMatrix &M)
void	detJ_Jt_J_inv_i_function (const Vector &x, CartesianPML *pml, DenseMatrix &M)
void	abs_detJ_Jt_J_inv_2_function (const Vector &x, CartesianPML *pml, DenseMatrix &M)
MFEM "global" communicator functions.
Functions for getting and setting the MPI communicator used by the library as the "global" communicator. This "global" communicator is used for example in the function mfem_error(), which is invoked when an error is detected - the "global" communicator is used as a parameter to MPI_Abort() to terminate all "global" tasks.
MPI_Comm	GetGlobalMPI_Comm ()
	Get MFEM's "global" MPI communicator.
void	SetGlobalMPI_Comm (MPI_Comm comm)
	Set MFEM's "global" MPI communicator.
Gmsh High-Order Vertex Mappings
These functions generate the mappings needed to translate the order of Gmsh's high-order vertices into MFEM's L2 degree of freedom ordering. The mapping is defined so that MFEM_DoF[i] = Gmsh_Vert[map[i]]. The map array must already be allocated with the proper number of entries for the element type at the given element order.
void	GmshHOSegmentMapping (int order, int *map)
	Generate Gmsh vertex mapping for a Segment.
void	GmshHOTriangleMapping (int order, int *map)
	Generate Gmsh vertex mapping for a Triangle.
void	GmshHOQuadrilateralMapping (int order, int *map)
	Generate Gmsh vertex mapping for a Quadrilateral.
void	GmshHOTetrahedronMapping (int order, int *map)
	Generate Gmsh vertex mapping for a Tetrahedron.
void	GmshHOHexahedronMapping (int order, int *map)
	Generate Gmsh vertex mapping for a Hexahedron.
void	GmshHOWedgeMapping (int order, int *map)
	Generate Gmsh vertex mapping for a Wedge.
void	GmshHOPyramidMapping (int order, int *map)
	Generate Gmsh vertex mapping for a Pyramid.

Variables
OutStream	out (std::cout)
	Global stream used by the library for standard output. Initially it uses the same std::streambuf as std::cout, however that can be changed.
OutStream	err (std::cerr)
	Global stream used by the library for standard error output. Initially it uses the same std::streambuf as std::cerr, however that can be changed.
MPI_Comm	MFEM_COMM_WORLD = MPI_COMM_WORLD
constexpr gnutls_digest_algorithm_t	HASH_ALGORITHM = GNUTLS_DIG_SHA256
MemoryManager	mm
	The (single) global memory manager object.
const char *	MemoryTypeName [MemoryTypeSize]
	Memory type names, used during Device:: configuration.
constexpr int	MemoryTypeSize = static_cast<int>(MemoryType::SIZE)
	Static casts to 'int' and sizes of some useful memory types.
constexpr int	HostMemoryType = static_cast<int>(MemoryType::HOST)
constexpr int	HostMemoryTypeSize = static_cast<int>(MemoryType::DEVICE)
constexpr int	DeviceMemoryType = static_cast<int>(MemoryType::MANAGED)
constexpr int	DeviceMemoryTypeSize = MemoryTypeSize - DeviceMemoryType
StopWatch	tic_toc
TriLinear3DFiniteElement	HexahedronFE
PointFiniteElement	PointFE
class LinearPyramidFiniteElement	PyramidFE
BiLinear2DFiniteElement	QuadrilateralFE
Linear1DFiniteElement	SegmentFE
MFEM_EXPORT class Linear3DFiniteElement	TetrahedronFE
MFEM_EXPORT Linear2DFiniteElement	TriangleFE
MFEM_EXPORT class LinearWedgeFiniteElement	WedgeFE
Poly_1D	poly1d
Geometry	Geometries
GeometryRefiner	GlobGeometryRefiner
IntegrationRules	IntRules (0, Quadrature1D::GaussLegendre)
	A global object with all integration rules (defined in intrules.cpp)
IntegrationRules	RefinedIntRules (1, Quadrature1D::GaussLegendre)
	A global object with all refined integration rules.
const char	vishost [] = "localhost"
const int	visport = 19916
int	wsize = 350

Typedef Documentation

Args

typedef kernels::InvariantsEvaluator3D::Buffers mfem::Args = kernels::InvariantsEvaluator2D::Buffers

Definition at line 21 of file tmop_pa_h2s.cpp.

ConservativeDGTraceIntegrator

using mfem::ConservativeDGTraceIntegrator = DGTraceIntegrator

Definition at line 3216 of file bilininteg.hpp.

ConstDeviceArray

typedef DeviceTensor<1,const int> mfem::ConstDeviceArray

Definition at line 138 of file dtensor.hpp.

ConstDeviceCube

typedef DeviceTensor<3,const real_t> mfem::ConstDeviceCube

Definition at line 147 of file dtensor.hpp.

ConstDeviceMatrix

typedef DeviceTensor<2,const real_t> mfem::ConstDeviceMatrix

Definition at line 144 of file dtensor.hpp.

ConstDeviceVector

typedef DeviceTensor<1,const real_t> mfem::ConstDeviceVector

Definition at line 141 of file dtensor.hpp.

cuda_launch_policy

using mfem::cuda_launch_policy

Initial value:

 
   RAJA::LaunchPolicy<RAJA::cuda_launch_t<true>>

RAJA Cuda and Hip backends.

Definition at line 227 of file forall.hpp.

cuda_teams_x

using mfem::cuda_teams_x

Initial value:

 
   RAJA::LoopPolicy<RAJA::cuda_block_x_direct>

Definition at line 229 of file forall.hpp.

cuda_threads_z

using mfem::cuda_threads_z

Initial value:

 
   RAJA::LoopPolicy<RAJA::cuda_thread_z_direct>

Definition at line 231 of file forall.hpp.

CylindricalZCoefficient

typedef CartesianZCoefficient mfem::CylindricalZCoefficient

Scalar coefficient which returns the height or altitude of the evaluation point in the cylindrical coordinate system

Definition at line 332 of file coefficient.hpp.

DeviceArray

typedef DeviceTensor<1,int> mfem::DeviceArray

Definition at line 137 of file dtensor.hpp.

DeviceCube

typedef DeviceTensor<3,real_t> mfem::DeviceCube

Definition at line 146 of file dtensor.hpp.

DeviceMatrix

typedef DeviceTensor<2,real_t> mfem::DeviceMatrix

Definition at line 143 of file dtensor.hpp.

DeviceVector

typedef DeviceTensor<1,real_t> mfem::DeviceVector

Definition at line 140 of file dtensor.hpp.

DG_FECollection

typedef L2_FECollection mfem::DG_FECollection

Declare an alternative name for L2_FECollection = DG_FECollection.

Definition at line 382 of file fe_coll.hpp.

DiagonalMatrixCoefficient

typedef VectorCoefficient mfem::DiagonalMatrixCoefficient

Definition at line 1037 of file coefficient.hpp.

DofQuadLimits

typedef internal::DofQuadLimits_CPU mfem::DofQuadLimits = internal::DofQuadLimits_CUDA

Maximum number of 1D DOFs or quadrature points for the architecture currently being compiled for (used in fallback kernels).

DofQuadLimits provides access to the limits as static constexpr member variables for use in mfem::forall kernels or MFEM_HOST_DEVICE functions.

See also

For accessing the limits according to the runtime configuration of the Device, see DeviceDofQuadLimits.

Definition at line 97 of file forall.hpp.

H1FaceRestriction

using mfem::H1FaceRestriction = ConformingFaceRestriction

Alias for ConformingFaceRestriction, for backwards compatibility and as base class for ParNCH1FaceRestriction.

Definition at line 401 of file restriction.hpp.

hip_launch_policy

using mfem::hip_launch_policy

Initial value:

 
   RAJA::LaunchPolicy<RAJA::hip_launch_t<true>>

Definition at line 236 of file forall.hpp.

hip_teams_x

using mfem::hip_teams_x

Initial value:

 
   RAJA::LoopPolicy<RAJA::hip_block_x_direct>

Definition at line 238 of file forall.hpp.

hip_threads_z

using mfem::hip_threads_z

Initial value:

 
   RAJA::LoopPolicy<RAJA::hip_thread_z_direct>

Definition at line 240 of file forall.hpp.

HYPRE_MemoryLocation

typedef int mfem::HYPRE_MemoryLocation

Definition at line 885 of file mem_manager.hpp.

KDTree1D

typedef KDTree<int,real_t,1> mfem::KDTree1D

Defines KDTree in 1D.

Definition at line 647 of file kdtree.hpp.

KDTree2D

typedef KDTree<int,real_t,2> mfem::KDTree2D

Defines KDTree in 2D.

Definition at line 644 of file kdtree.hpp.

KDTree3D

typedef KDTree<int,real_t,3> mfem::KDTree3D

Defines KDTree in 3D.

Definition at line 641 of file kdtree.hpp.

MatVecCoefficient

typedef MatrixVectorProductCoefficient mfem::MatVecCoefficient

Convenient alias for the MatrixVectorProductCoefficient.

Definition at line 1984 of file coefficient.hpp.

NonconservativeConvectionIntegrator

using mfem::NonconservativeConvectionIntegrator = ConvectionIntegrator

Definition at line 2424 of file bilininteg.hpp.

occa_id_t

typedef std::pair<int,int> mfem::occa_id_t

Definition at line 78 of file occa.hpp.

occa_kernel_t

typedef std::map<occa_id_t, occa::kernel> mfem::occa_kernel_t

Definition at line 79 of file occa.hpp.

OperatorPtr

typedef OperatorHandle mfem::OperatorPtr

Add an alternative name for OperatorHandle – OperatorPtr.

Definition at line 212 of file handle.hpp.

real_t

typedef double mfem::real_t

Definition at line 43 of file config.hpp.

Enumeration Type Documentation

AssemblyLevel

enum class mfem::AssemblyLevel

strong

Enumeration defining the assembly level for bilinear and nonlinear form classes derived from Operator. For more details, see https://mfem.org/howto/assembly_levels.

Enumerator
LEGACY	In the case of a BilinearForm LEGACY corresponds to a fully assembled form, i.e. a global sparse matrix in MFEM, Hypre or PETSC format. In the case of a NonlinearForm LEGACY corresponds to an operator that is fully evaluated on the fly. This assembly level is ALWAYS performed on the host.
LEGACYFULL	Deprecated Use LEGACY instead.
FULL	Fully assembled form, i.e. a global sparse matrix in MFEM format. This assembly is compatible with device execution.
ELEMENT	Form assembled at element level, which computes and stores dense element matrices.
PARTIAL	Partially-assembled form, which computes and stores data only at quadrature points.
NONE	"Matrix-free" form that computes all of its action on-the-fly without any substantial storage.

Definition at line 31 of file bilinearform.hpp.

BlockInverseScaleJob

enum class mfem::BlockInverseScaleJob

strong

Enumerator
MATRIX_ONLY
RHS_ONLY
MATRIX_AND_RHS

Definition at line 959 of file hypre.hpp.

CoefficientStorage

enum class mfem::CoefficientStorage : int

strong

Flags that determine what storage optimizations to use in CoefficientVector.

Enumerator
FULL	Store the coefficient as a full QuadratureFunction.
CONSTANTS	Store constants using only vdim entries.
SYMMETRIC	Store the triangular part of symmetric matrices.
COMPRESSED	Enable all above compressions.

Definition at line 2288 of file coefficient.hpp.

ElementDofOrdering

enum class mfem::ElementDofOrdering

strong

Constants describing the possible orderings of the DOFs in one element.

Enumerator
NATIVE	Native ordering as defined by the FiniteElement. This ordering can be used by tensor-product elements when the interpolation from the DOFs to quadrature points does not use the tensor-product structure.
LEXICOGRAPHIC	Lexicographic ordering for tensor-product FiniteElements. This ordering can be used only with tensor-product elements.

Definition at line 74 of file fespace.hpp.

ErrorAction

enum mfem::ErrorAction

Action to take when MFEM encounters an error.

Enumerator
MFEM_ERROR_ABORT	Abort execution using abort() or MPI_Abort(). This is the default error action when the build option MFEM_USE_EXCEPTIONS is set to NO.
MFEM_ERROR_THROW	Throw an ErrorException. Requires the build option MFEM_USE_EXCEPTIONS=YES in which case it is also the default error action.

Definition at line 26 of file error.hpp.

FaceType

enum class mfem::FaceType : bool

strong

An enum type to specify if interior or boundary faces are desired.

Enumerator
Interior
Boundary

Definition at line 47 of file mesh.hpp.

L2FaceValues

enum class mfem::L2FaceValues : bool

strong

An enum type to specify if only e1 value is requested (SingleValued) or both e1 and e2 (DoubleValued).

Enumerator
SingleValued
DoubleValued

Definition at line 139 of file restriction.hpp.

MemoryClass

enum class mfem::MemoryClass

strong

Memory classes identify sets of memory types.

This type is used by kernels that can work with multiple MemoryTypes. For example, kernels that can use DEVICE or MANAGED memory types should use MemoryClass::DEVICE for their inputs.

Enumerator
HOST	Memory types: { HOST, HOST_32, HOST_64, HOST_DEBUG, HOST_UMPIRE, HOST_PINNED, MANAGED }
HOST_32	Memory types: { HOST_32, HOST_64, HOST_DEBUG }.
HOST_64	Memory types: { HOST_64, HOST_DEBUG }.
DEVICE	Memory types: { DEVICE, DEVICE_DEBUG, DEVICE_UMPIRE, DEVICE_UMPIRE_2, MANAGED }
MANAGED	Memory types: { MANAGED }.

Definition at line 80 of file mem_manager.hpp.

MemoryType

enum class mfem::MemoryType

strong

Memory types supported by MFEM.

Enumerator
HOST	Host memory; using new[] and delete[].
HOST_32	Host memory; aligned at 32 bytes.
HOST_64	Host memory; aligned at 64 bytes.
HOST_DEBUG	Host memory; allocated from a "host-debug" pool.
HOST_UMPIRE	Host memory; using an Umpire allocator which can be set with MemoryManager::SetUmpireHostAllocatorName
HOST_PINNED	Host memory: pinned (page-locked)
MANAGED	Managed memory; using CUDA or HIP *MallocManaged and *Free
DEVICE	Device memory; using CUDA or HIP *Malloc and *Free.
DEVICE_DEBUG	Pseudo-device memory; allocated on host from a "device-debug" pool
DEVICE_UMPIRE	Device memory; using an Umpire allocator which can be set with MemoryManager::SetUmpireDeviceAllocatorName
DEVICE_UMPIRE_2	Device memory; using a second Umpire allocator settable with MemoryManager::SetUmpireDevice2AllocatorName
SIZE	Number of host and device memory types.
PRESERVE	Pseudo-MemoryType used as default value for MemoryType parameters to request preservation of existing MemoryType, e.g. in copy constructors.
DEFAULT	Pseudo-MemoryType used as default value for MemoryType parameters to request the use of the default host or device MemoryType.

Definition at line 38 of file mem_manager.hpp.

QVectorLayout

enum class mfem::QVectorLayout

strong

Type describing possible layouts for Q-vectors.

See also

QuadratureInterpolator and FaceQuadratureInterpolator.

Enumerator
byNODES	NQPT x VDIM x NE (values) / NQPT x VDIM x DIM x NE (grads)
byVDIM	VDIM x NQPT x NE (values) / VDIM x DIM x NQPT x NE (grads)

Definition at line 52 of file fespace.hpp.

SpacingType

enum class mfem::SpacingType

strong

Enumerator
UNIFORM_SPACING
LINEAR
GEOMETRIC
BELL
GAUSSIAN
LOGARITHMIC
PIECEWISE

Definition at line 23 of file spacing.hpp.

TransferCategory

enum mfem::TransferCategory

TransferCategory describes the type of transfer.

Usually used with a TransferMap.

Enumerator
ParentToSubMesh
SubMeshToParent
SubMeshToSubMesh

Definition at line 23 of file transfer_category.hpp.

VTKFormat

enum class mfem::VTKFormat

strong

Data array format for VTK and VTU files.

Enumerator
ASCII	Data arrays will be written in ASCII format.
BINARY	Data arrays will be written in binary format. Floating point numbers will be output with 64 bits of precision.
BINARY32	Data arrays will be written in binary format. Floating point numbers will be output with 32 bits of precision.

Definition at line 98 of file vtk.hpp.

Function Documentation

__attribute__() [1/2]

mfem::__attribute__

(

(enzyme_inactive)

)

const

Function called by the macro MFEM_WARNING.

__attribute__() [2/2]

mfem::__attribute__

(

(enzyme_inactive, noreturn)

)

const

Function called when an error is encountered. Used by the macros MFEM_ABORT, MFEM_ASSERT, MFEM_VERIFY.

abs_detJ_2_function()

real_t mfem::abs_detJ_2_function	(	const Vector &	x,
		CartesianPML *	pml )

Definition at line 180 of file pml.cpp.

abs_detJ_Jt_J_inv_2_function()

void mfem::abs_detJ_Jt_J_inv_2_function	(	const Vector &	x,
		CartesianPML *	pml,
		DenseMatrix &	M )

Definition at line 276 of file pml.cpp.

abs_Jt_J_detJinv_2_function()

void mfem::abs_Jt_J_detJinv_2_function	(	const Vector &	x,
		CartesianPML *	pml,
		DenseMatrix &	M )

Definition at line 223 of file pml.cpp.

Add() [1/8]

SparseMatrix * mfem::Add

(

Array< SparseMatrix * > &

Ai

)

Matrix addition result = sum_i A_i.

Definition at line 4138 of file sparsemat.cpp.

Add() [2/8]

void mfem::Add	(	const DenseMatrix &	A,
		const DenseMatrix &	B,
		real_t	alpha,
		DenseMatrix &	C )

C = A + alpha*B.

Definition at line 2433 of file densemat.cpp.

Add() [3/8]

SparseMatrix * mfem::Add	(	const SparseMatrix &	A,
		const SparseMatrix &	B )

Matrix addition result = A + B.

Definition at line 4133 of file sparsemat.cpp.

Add() [4/8]

void mfem::Add	(	const SparseMatrix &	A,
		real_t	alpha,
		DenseMatrix &	B )

B += alpha * A.

Definition at line 4160 of file sparsemat.cpp.

Add() [5/8]

SparseMatrix * mfem::Add	(	real_t	a,
		const SparseMatrix &	A,
		real_t	b,
		const SparseMatrix &	B )

Matrix addition result = a*A + b*B.

Definition at line 4050 of file sparsemat.cpp.

Add() [6/8]

void mfem::Add	(	real_t	alpha,
		const DenseMatrix &	A,
		real_t	beta,
		const DenseMatrix &	B,
		DenseMatrix &	C )

C = alpha*A + beta*B.

Definition at line 2445 of file densemat.cpp.

Add() [7/8]

HypreParMatrix * mfem::Add	(	real_t	alpha,
		const HypreParMatrix &	A,
		real_t	beta,
		const HypreParMatrix &	B )

Return a new matrix C = alpha*A + beta*B, assuming that both A and B use the same row and column partitions and the same col_map_offd arrays.

Definition at line 2892 of file hypre.cpp.

Add() [8/8]

void mfem::Add	(	real_t	alpha,
		const real_t *	A,
		real_t	beta,
		const real_t *	B,
		DenseMatrix &	C )

C = alpha*A + beta*B.

Definition at line 2439 of file densemat.cpp.

add() [1/4]

void mfem::add	(	const real_t	a,
		const Vector &	x,
		const real_t	b,
		const Vector &	y,
		Vector &	z )

Definition at line 417 of file vector.cpp.

add() [2/4]

void mfem::add	(	const real_t	a,
		const Vector &	x,
		const Vector &	y,
		Vector &	z )

Definition at line 377 of file vector.cpp.

add() [3/4]

void mfem::add	(	const Vector &	v1,
		const Vector &	v2,
		Vector &	v )

Definition at line 316 of file vector.cpp.

add() [4/4]

void mfem::add	(	const Vector &	v1,
		real_t	alpha,
		const Vector &	v2,
		Vector &	v )

Definition at line 338 of file vector.cpp.

AddMult()

void mfem::AddMult	(	const DenseMatrix &	b,
		const DenseMatrix &	c,
		DenseMatrix &	a )

Matrix matrix multiplication. A += B * C.

Definition at line 2571 of file densemat.cpp.

AddMult_a()

void mfem::AddMult_a	(	real_t	alpha,
		const DenseMatrix &	b,
		const DenseMatrix &	c,
		DenseMatrix &	a )

Matrix matrix multiplication. A += alpha * B * C.

Definition at line 2532 of file densemat.cpp.

AddMult_a_AAt()

void mfem::AddMult_a_AAt	(	real_t	a,
		const DenseMatrix &	A,
		DenseMatrix &	AAt )

AAt += a * A * A^t.

Definition at line 3307 of file densemat.cpp.

AddMult_a_ABt()

void mfem::AddMult_a_ABt	(	real_t	a,
		const DenseMatrix &	A,
		const DenseMatrix &	B,
		DenseMatrix &	ABt )

ABt += a * A * B^t.

Definition at line 3096 of file densemat.cpp.

AddMult_a_AtB()

void mfem::AddMult_a_AtB	(	real_t	a,
		const DenseMatrix &	A,
		const DenseMatrix &	B,
		DenseMatrix &	AtB )

AtB += a * A^t * B.

Definition at line 3263 of file densemat.cpp.

AddMult_a_VVt()

void mfem::AddMult_a_VVt	(	const real_t	a,
		const Vector &	v,
		DenseMatrix &	VVt )

VVt += a * v v^t.

Definition at line 3445 of file densemat.cpp.

AddMult_a_VWt()

void mfem::AddMult_a_VWt	(	const real_t	a,
		const Vector &	v,
		const Vector &	w,
		DenseMatrix &	VWt )

VWt += a * v w^t.

Definition at line 3423 of file densemat.cpp.

AddMultABt()

void mfem::AddMultABt	(	const DenseMatrix &	A,
		const DenseMatrix &	B,
		DenseMatrix &	ABt )

ABt += A * B^t.

Definition at line 2999 of file densemat.cpp.

AddMultADAt()

void mfem::AddMultADAt	(	const DenseMatrix &	A,
		const Vector &	D,
		DenseMatrix &	ADAt )

ADAt += A D A^t, where D is diagonal.

Definition at line 2846 of file densemat.cpp.

AddMultADBt()

void mfem::AddMultADBt	(	const DenseMatrix &	A,
		const Vector &	D,
		const DenseMatrix &	B,
		DenseMatrix &	ADBt )

ADBt = A D B^t, where D is diagonal.

Definition at line 3060 of file densemat.cpp.

AddMultAtB()

void mfem::AddMultAtB	(	const DenseMatrix &	A,
		const DenseMatrix &	B,
		DenseMatrix &	AtB )

AtB += A^t * B.

Definition at line 3220 of file densemat.cpp.

AddMultVVt()

void mfem::AddMultVVt	(	const Vector &	v,
		DenseMatrix &	VVt )

VVt += v v^t.

Definition at line 3399 of file densemat.cpp.

AddMultVWt()

void mfem::AddMultVWt	(	const Vector &	v,
		const Vector &	w,
		DenseMatrix &	VWt )

VWt += v w^t.

Definition at line 3378 of file densemat.cpp.

Adjugate3D()

MFEM_HOST_DEVICE void mfem::Adjugate3D ( const DeviceMatrix & J, DeviceMatrix & A )

inline

Definition at line 254 of file lor_util.hpp.

aGMRES()

int mfem::aGMRES	(	const Operator &	A,
		Vector &	x,
		const Vector &	b,
		const Operator &	M,
		int &	max_iter,
		int	m_max,
		int	m_min,
		int	m_step,
		real_t	cf,
		real_t &	tol,
		real_t &	atol,
		int	printit )

Adaptive restarted GMRES. m_max and m_min(=1) are the maximal and minimal restart parameters. m_step(=1) is the step to use for going from m_max and m_min. cf(=0.4) is a desired convergence factor.

Definition at line 2151 of file solvers.cpp.

ApplyPlaneRotation()

void mfem::ApplyPlaneRotation ( real_t & dx, real_t & dy, real_t & cs, real_t & sn )

inline

Definition at line 952 of file solvers.cpp.

AsConst()

template<typename T >

const T & mfem::AsConst

(

const T &

a

)

Utility function similar to std::as_const in c++17.

Definition at line 360 of file array.hpp.

Assign()

template<AssignOp::Type Op, typename lvalue_t , typename rvalue_t >

lvalue_t & mfem::Assign ( lvalue_t & a, const rvalue_t & b )

inline

Definition at line 137 of file tassign.hpp.

AssignHD()

template<AssignOp::Type Op, typename lvalue_t , typename rvalue_t >

MFEM_HOST_DEVICE lvalue_t & mfem::AssignHD ( lvalue_t & a, const rvalue_t & b )

inline

Definition at line 144 of file tassign.hpp.

BarycentricToGmshTet()

int mfem::BarycentricToGmshTet	(	int *	b,
		int	ref )

Definition at line 18 of file gmsh.cpp.

BarycentricToVTKTetra()

int mfem::BarycentricToVTKTetra	(	int *	b,
		int	ref )

Definition at line 198 of file vtk.cpp.

BarycentricToVTKTriangle()

int mfem::BarycentricToVTKTriangle	(	int *	b,
		int	ref )

Return the VTK node index of the barycentric point b in a triangle with refinement level ref.

The barycentric index b has three components, satisfying b[0] + b[1] + b[2] == ref.

Definition at line 161 of file vtk.cpp.

BasisTypeToFmsBasisType()

bool mfem::BasisTypeToFmsBasisType	(	int	bt,
		FmsBasisType &	btype )

Definition at line 892 of file fmsconvert.cpp.

BatchLUFactor()

void mfem::BatchLUFactor	(	DenseTensor &	Mlu,
		Array< int > &	P,
		const real_t	TOL = 0.0 )

Compute the LU factorization of a batch of matrices.

Factorize n matrices of size (m x m) stored in a dense tensor overwriting it with the LU factors. The factorization is such that L.U = Piv.A, where A is the original matrix and Piv is a permutation matrix represented by P.

Parameters

[in,out]	Mlu	batch of square matrices - dimension m x m x n.
[out]	P	array storing pivot information - dimension m x n.
[in]	TOL	optional fuzzy comparison tolerance. Defaults to 0.0.

Definition at line 4633 of file densemat.cpp.

BatchLUSolve()

void mfem::BatchLUSolve	(	const DenseTensor &	Mlu,
		const Array< int > &	P,
		Vector &	X )

Solve batch linear systems.

Assuming L.U = P.A for n factored matrices (m x m), compute x <- A x, for n companion vectors.

Parameters

[in]	Mlu	batch of LU factors for matrix M - dimension m x m x n.
[in]	P	array storing pivot information - dimension m x n.
[in,out]	X	vector storing right-hand side and then solution - dimension m x n.

Definition at line 4700 of file densemat.cpp.

BiCGSTAB() [1/2]

void mfem::BiCGSTAB	(	const Operator &	A,
		Solver &	B,
		const Vector &	b,
		Vector &	x,
		int	print_iter,
		int	max_num_iter,
		real_t	rtol,
		real_t	atol )

BiCGSTAB method. (tolerances are squared)

Definition at line 1588 of file solvers.cpp.

BiCGSTAB() [2/2]

int mfem::BiCGSTAB	(	const Operator &	A,
		Vector &	x,
		const Vector &	b,
		Solver &	M,
		int &	max_iter,
		real_t &	tol,
		real_t	atol,
		int	printit )

BiCGSTAB method. (tolerances are squared)

Definition at line 1572 of file solvers.cpp.

BlockInverseScale()

void mfem::BlockInverseScale	(	const HypreParMatrix *	A,
		HypreParMatrix *	C,
		const Vector *	b,
		HypreParVector *	d,
		int	blocksize,
		BlockInverseScaleJob	job )

Constructs and applies block diagonal inverse of HypreParMatrix. The enum job specifies whether the matrix or the RHS should be scaled (or both).

Definition at line 2862 of file hypre.cpp.

bMult_AB()

template<int bA1, int bA2, int bB2, bool Add, typename A_layout_t , typename A_data_t , typename B_layout_t , typename B_data_t , typename C_layout_t , typename C_data_t >

MFEM_ALWAYS_INLINE void mfem::bMult_AB ( const A_layout_t & A_layout, const A_data_t & A_data, const B_layout_t & B_layout, const B_data_t & B_data, const C_layout_t & C_layout, C_data_t & C_data )

inline

Definition at line 89 of file tmatrix.hpp.

BoundingBox()

void mfem::BoundingBox	(	const Array< int > &	face_patch,
		FiniteElementSpace *	ufes,
		int	order,
		Vector &	xmin,
		Vector &	xmax,
		real_t &	angle,
		Vector &	midpoint,
		int	iface = -1 )

Defines the bounding box for the face patches used by NewZZErorrEstimator.

By default, BoundingBox(...) computes the parameters of a minimal bounding box for the given face_patch that is aligned with the physical (i.e. global) Cartesian axes. This means that the size of the bounding box will depend on the orientation of the patch. It is better to construct an orientation-independent box. This is implemented for 2D patches. The parameters angle and midpoint encode the necessary additional geometric information.

@a iface     : Index of the face that the patch corresponds to.
               This is used to compute @a angle and @a midpoint.

@a angle     : The angle the patch face makes with the x-axis.
@a midpoint  : The midpoint of the face.

Definition at line 4121 of file gridfunc.cpp.

BuildBoxes()

template<int Dim>

void mfem::BuildBoxes	(	const Mesh &	mesh,
		std::vector<::moonolith::AABB< Dim, double > > &	element_boxes )

Definition at line 95 of file mortarassembler.cpp.

BuildNormalConstraints()

SparseMatrix * mfem::BuildNormalConstraints	(	FiniteElementSpace &	fespace,
		Array< int > &	constrained_att,
		Array< int > &	constraint_rowstarts,
		bool	parallel = false )

Build a matrix constraining normal components to zero.

Given a vector space fespace, and the array constrained_att that includes the boundary attributes that are constrained to have normal component zero, this returns a SparseMatrix representing the constraints that need to be imposed.

Each row of the returned matrix corresponds to a node that is constrained. The rows are arranged in (contiguous) blocks corresponding to a physical constraint; in 3D, a one-row constraint means the node is free to move along a plane, a two-row constraint means it is free to move along a line (e.g. the intersection of two normal-constrained planes), and a three-row constraint is fully constrained (equivalent to MFEM's usual essential boundary conditions).

The constraint_rowstarts array is filled in to describe the structure of these constraints, so that (block) constraint k is encoded in rows constraint_rowstarts[k] to constraint_rowstarts[k + 1] - 1, inclusive, of the returned matrix.

Constraints are imposed on "true" degrees of freedom, which are different in serial and parallel, so we need different numbering systems for the serial and parallel versions of this function.

When two attributes intersect, this version will combine constraints, so in 2D the point at the intersection is fully constrained (ie, fixed in both directions). This is the wrong thing to do if the two boundaries are (close to) parallel at that point.

Parameters

[in]	fespace	A vector finite element space
[in]	constrained_att	Boundary attributes to constrain
[out]	constraint_rowstarts	The rowstarts for separately eliminated constraints, possible input to EliminationCGSolver
[in]	parallel	Indicate that fespace is actually a ParFiniteElementSpace and the numbering in the returned matrix should be based on truedofs.

Returns

a constraint matrix

Definition at line 783 of file constraints.cpp.

CalcAdjugate() [1/2]

void mfem::CalcAdjugate	(	const DenseMatrix &	a,
		DenseMatrix &	adja )

Calculate the adjugate of a matrix (for NxN matrices, N=1,2,3) or the matrix adj(A^t.A).A^t for rectangular matrices (2x1, 3x1, or 3x2). This operation is well defined even when the matrix is not full rank.

Definition at line 2607 of file densemat.cpp.

CalcAdjugate() [2/2]

template<typename dtype >

void mfem::CalcAdjugate	(	const TAutoDiffDenseMatrix< dtype > &	a,
		TAutoDiffDenseMatrix< dtype > &	adja )

Definition at line 437 of file taddensemat.hpp.

CalcAdjugateTranspose()

void mfem::CalcAdjugateTranspose	(	const DenseMatrix &	a,
		DenseMatrix &	adjat )

Calculate the transposed adjugate of a matrix (for NxN matrices, N=1,2,3)

Definition at line 2679 of file densemat.cpp.

CalcGradTensor()

template<typename real_t >

void mfem::CalcGradTensor	(	const FiniteElement &	fe,
		const IntegrationRule &	ir,
		real_t *	G,
		const Array< int > *	dof_map = NULL )

store gradient matrix G for each integration point on the reference element. For tensor product evaluation, this is only called on the 1D reference element, and higher dimensions are put together from that. The element stiffness matrix can be written

\[ S_E = \sum_{k=1}^{nq} G_{k,i}^T (D_E^G)_{k,k} G_{k,j} \]

where \( nq \) is the number of quadrature points, \( D_E^G \) contains all the information about the element geometry and coefficients (Jacobians etc.), and \( G \) is the matrix built in this routine, which is the same for all elements in a mesh.

Parameters

	fe	the element we are calculating on
	ir	the integration rule to calculate the gradients on
[out]	G	must be (nip x dim x dof) with column major storage
[in]	dof_map	the inverse of dof_map is applied to reorder local dofs.

Definition at line 74 of file tfe.hpp.

CalcInverse()

void mfem::CalcInverse	(	const DenseMatrix &	a,
		DenseMatrix &	inva )

Calculate the inverse of a matrix (for NxN matrices, N=1,2,3) or the left inverse (A^t.A)^{-1}.A^t (for 2x1, 3x1, or 3x2 matrices)

Definition at line 2715 of file densemat.cpp.

CalcInverseTranspose()

void mfem::CalcInverseTranspose	(	const DenseMatrix &	a,
		DenseMatrix &	inva )

Calculate the inverse transpose of a matrix (for NxN matrices, N=1,2,3)

Definition at line 2763 of file densemat.cpp.

CalcOrtho()

void mfem::CalcOrtho	(	const DenseMatrix &	J,
		Vector &	n )

For a given Nx(N-1) (N=2,3) matrix J, compute a vector n such that n_k = (-1)^{k+1} det(J_k), k=1,..,N, where J_k is the matrix J with the k-th row removed. Note: J^t.n = 0, det([n|J])=|n|^2=det(J^t.J).

Definition at line 2802 of file densemat.cpp.

CalcShapeMatrix()

template<typename real_t >

void mfem::CalcShapeMatrix	(	const FiniteElement &	fe,
		const IntegrationRule &	ir,
		real_t *	B,
		const Array< int > *	dof_map = NULL )

Store mass-like matrix B for each integration point on the reference element. For tensor product evaluation, this is only called on the 1D reference element, and higher dimensions are put together from that. The element mass matrix can be written \( M_E = B^T D_E B \) where the B built here is the B, and is unchanging across the mesh. The diagonal matrix \( D_E \) then contains all the element-specific geometry and physics data.

Parameters

fe	the element we are calculating on
ir	the integration rule to calculate the shape matrix on
B	must be (nip x dof) with column major storage
dof_map	the inverse of dof_map is applied to reorder local dofs.

Definition at line 36 of file tfe.hpp.

CalcShapes()

template<typename real_t >

void mfem::CalcShapes	(	const FiniteElement &	fe,
		const IntegrationRule &	ir,
		real_t *	B,
		real_t *	G,
		const Array< int > *	dof_map )

Definition at line 99 of file tfe.hpp.

CanonicalNodeNumber()

int mfem::CanonicalNodeNumber	(	FiniteElementSpace &	fespace,
		int	node,
		bool	parallel,
		int	d = 0 )

Definition at line 757 of file constraints.cpp.

CanShallowCopy()

template<typename T >

bool mfem::CanShallowCopy	(	const Memory< T > &	src,
		MemoryClass	mc )

Return true if the src Memory can be used with the MemoryClass mc.

If this function returns true then src.{Read,Write,ReadWrite} can be called safely with the MemoryClass mc.

Definition at line 133 of file hypre.cpp.

CartesianToGmshHex()

int mfem::CartesianToGmshHex	(	int	idx_in[],
		int	ref )

Definition at line 150 of file gmsh.cpp.

CartesianToGmshPyramid()

int mfem::CartesianToGmshPyramid	(	int	idx_in[],
		int	ref )

Definition at line 311 of file gmsh.cpp.

CartesianToGmshQuad()

int mfem::CartesianToGmshQuad	(	int	idx_in[],
		int	ref )

Definition at line 120 of file gmsh.cpp.

CartesianToVTKPrism()

int mfem::CartesianToVTKPrism	(	int	i,
		int	j,
		int	k,
		int	ref )

Definition at line 286 of file vtk.cpp.

CartesianToVTKTensor()

int mfem::CartesianToVTKTensor	(	int	idx_in,
		int	ref,
		Geometry::Type	geom )

Definition at line 381 of file vtk.cpp.

CG()

void mfem::CG	(	const Operator &	A,
		const Vector &	b,
		Vector &	x,
		int	print_iter,
		int	max_num_iter,
		real_t	RTOLERANCE,
		real_t	ATOLERANCE )

Conjugate gradient method. (tolerances are squared)

Definition at line 898 of file solvers.cpp.

CheckBasisType()

void mfem::CheckBasisType

(

const FiniteElementSpace &

fes

)

Definition at line 329 of file lor.cpp.

CheckFinite()

int mfem::CheckFinite ( const real_t * v, const int n )

inline

Count the number of entries in an array of doubles for which isfinite is false, i.e. the entry is a NaN or +/-Inf.

Definition at line 518 of file vector.hpp.

CheckScalarBasisType()

template<typename FEC >

void mfem::CheckScalarBasisType

(

const FiniteElementSpace &

fes

)

Definition at line 291 of file lor.cpp.

CheckVectorBasisType()

template<typename FEC >

void mfem::CheckVectorBasisType

(

const FiniteElementSpace &

fes

)

Definition at line 309 of file lor.cpp.

ComputeElementLpDistance()

real_t mfem::ComputeElementLpDistance	(	real_t	p,
		int	i,
		GridFunction &	gf1,
		GridFunction &	gf2 )

Compute the Lp distance between two grid functions on the given element.

Definition at line 4395 of file gridfunc.cpp.

ComputeGlobalLpNorm() [1/2]

real_t mfem::ComputeGlobalLpNorm	(	real_t	p,
		Coefficient &	coeff,
		ParMesh &	pmesh,
		const IntegrationRule *	irs[] )

Compute the global Lp norm of a function f. \( \| f \|_{Lp} = ( \int_\Omega | f |^p d\Omega)^{1/p} \).

Definition at line 1509 of file coefficient.cpp.

ComputeGlobalLpNorm() [2/2]

real_t mfem::ComputeGlobalLpNorm	(	real_t	p,
		VectorCoefficient &	coeff,
		ParMesh &	pmesh,
		const IntegrationRule *	irs[] )

Compute the global Lp norm of a vector function f = {f_i}_i=1...N. \( \| f \|_{Lp} = ( \sum_i \| f_i \|_{Lp}^p )^{1/p} \).

Definition at line 1541 of file coefficient.cpp.

ComputeInverse()

void mfem::ComputeInverse	(	const Array< real_t > &	A,
		Array< real_t > &	Ainv )

Compute the inverse of the matrix A and store the result in Ainv.

The input A is an array of size n*n, interpreted as a matrix with column major ordering.

Definition at line 24 of file change_basis.cpp.

ComputeLpNorm() [1/2]

real_t mfem::ComputeLpNorm	(	real_t	p,
		Coefficient &	coeff,
		Mesh &	mesh,
		const IntegrationRule *	irs[] )

Compute the Lp norm of a function f. \( \| f \|_{Lp} = ( \int_\Omega | f |^p d\Omega)^{1/p} \).

Definition at line 1466 of file coefficient.cpp.

ComputeLpNorm() [2/2]

real_t mfem::ComputeLpNorm	(	real_t	p,
		VectorCoefficient &	coeff,
		Mesh &	mesh,
		const IntegrationRule *	irs[] )

Compute the Lp norm of a vector function f = {f_i}_i=1...N. \( \| f \|_{Lp} = ( \sum_i \| f_i \|_{Lp}^p )^{1/p} \).

Definition at line 1487 of file coefficient.cpp.

convert_to_hypre_matrix()

std::shared_ptr< HypreParMatrix > mfem::convert_to_hypre_matrix	(	const std::vector< moonolith::Integer > &	destination_ranges,
		HYPRE_BigInt *	s_offsets,
		HYPRE_BigInt *	m_offsets,
		moonolith::SparseMatrix< double > &	mat_buffer )

Definition at line 863 of file pmortarassembler.cpp.

CopyConvertMemory()

template<typename SrcT , typename DstT >

void mfem::CopyConvertMemory	(	Memory< SrcT > &	src,
		MemoryClass	dst_mc,
		Memory< DstT > &	dst )

Deep copy and convert src to dst with the goal to make the array src accessible through dst with the MemoryClass dst_mc and convert it from type SrcT to type DstT.

When dst is no longer needed, dst.Delete() must be called to ensure all associated memory allocations are freed.

The input contents of dst, if any, is not used and it is overwritten by this function. In particular, dst should be empty or deleted before calling this function.

Definition at line 535 of file hypre.cpp.

CopyMemory()

template<typename T >

void mfem::CopyMemory	(	Memory< T > &	src,
		Memory< T > &	dst,
		MemoryClass	dst_mc,
		bool	dst_owner )

Shallow or deep copy src to dst with the goal to make the array src accessible through dst with the MemoryClass dst_mc. If one of the host/device MemoryTypes of src is contained in dst_mc, then a shallow copy will be used and dst will simply be an alias of src. Otherwise, dst will be properly allocated and src will be deep copied to dst.

If dst_owner is set to true and shallow copy is being used, then dst will not be an alias of src; instead, src is copied to dst and all ownership flags of src are reset.

In both cases (deep or shallow copy), when dst is no longer needed, dst.Delete() must be called to ensure all associated memory allocations are freed.

The input contents of dst, if any, is not used and it is overwritten by this function. In particular, dst should be empty or deleted before calling this function.

Definition at line 500 of file hypre.cpp.

CreateVTKElementConnectivity()

void mfem::CreateVTKElementConnectivity	(	Array< int > &	con,
		Geometry::Type	geom,
		int	ref )

Create the VTK element connectivity array for a given element geometry and refinement level.

The output array con will be such that, for the ith VTK node index, con[i] will contain the index of the corresponding node in MFEM ordering.

Definition at line 497 of file vtk.cpp.

CubeFaceBack()

bool mfem::CubeFaceBack ( int node, int * n )

inline

Definition at line 696 of file ncmesh.cpp.

CubeFaceBottom()

bool mfem::CubeFaceBottom ( int node, int * n )

inline

Definition at line 699 of file ncmesh.cpp.

CubeFaceFront()

bool mfem::CubeFaceFront ( int node, int * n )

inline

Definition at line 693 of file ncmesh.cpp.

CubeFaceLeft()

bool mfem::CubeFaceLeft ( int node, int * n )

inline

Definition at line 687 of file ncmesh.cpp.

CubeFaceRight()

bool mfem::CubeFaceRight ( int node, int * n )

inline

Definition at line 690 of file ncmesh.cpp.

CubeFaceTop()

bool mfem::CubeFaceTop ( int node, int * n )

inline

Definition at line 702 of file ncmesh.cpp.

CuCheckLastError()

void mfem::CuCheckLastError

(

)

Check the error code returned by cudaGetLastError(), aborting on error.

Definition at line 178 of file cuda.cpp.

CuGetDeviceCount()

int mfem::CuGetDeviceCount

(

)

Get the number of CUDA devices.

Definition at line 185 of file cuda.cpp.

CuMallocManaged()

void * mfem::CuMallocManaged	(	void **	dptr,
		size_t	bytes )

Allocates managed device memory.

Definition at line 49 of file cuda.cpp.

CuMemAlloc()

void * mfem::CuMemAlloc	(	void **	dptr,
		size_t	bytes )

Allocates device memory and returns destination ptr.

Definition at line 34 of file cuda.cpp.

CuMemAllocHostPinned()

void * mfem::CuMemAllocHostPinned	(	void **	ptr,
		size_t	bytes )

Allocates page-locked (pinned) host memory.

Definition at line 64 of file cuda.cpp.

CuMemcpyDtoD()

void * mfem::CuMemcpyDtoD	(	void *	dst,
		const void *	src,
		size_t	bytes )

Copies memory from Device to Device.

Definition at line 132 of file cuda.cpp.

CuMemcpyDtoDAsync()

void * mfem::CuMemcpyDtoDAsync	(	void *	dst,
		const void *	src,
		size_t	bytes )

Copies memory from Device to Device.

Definition at line 147 of file cuda.cpp.

CuMemcpyDtoH()

void * mfem::CuMemcpyDtoH	(	void *	dst,
		const void *	src,
		size_t	bytes )

Copies memory from Device to Host.

Definition at line 155 of file cuda.cpp.

CuMemcpyDtoHAsync()

void * mfem::CuMemcpyDtoHAsync	(	void *	dst,
		const void *	src,
		size_t	bytes )

Copies memory from Device to Host.

Definition at line 170 of file cuda.cpp.

CuMemcpyHtoD()

void * mfem::CuMemcpyHtoD	(	void *	dst,
		const void *	src,
		size_t	bytes )

Copies memory from Host to Device and returns destination ptr.

Definition at line 109 of file cuda.cpp.

CuMemcpyHtoDAsync()

void * mfem::CuMemcpyHtoDAsync	(	void *	dst,
		const void *	src,
		size_t	bytes )

Copies memory from Host to Device and returns destination ptr.

Definition at line 124 of file cuda.cpp.

CuMemFree()

void * mfem::CuMemFree

(

void *

dptr

)

Frees device memory and returns destination ptr.

Definition at line 79 of file cuda.cpp.

CuMemFreeHostPinned()

void * mfem::CuMemFreeHostPinned

(

void *

ptr

)

Frees page-locked (pinned) host memory and returns destination ptr.

Definition at line 94 of file cuda.cpp.

CuWrap1D()

template<const int BLCK = MFEM_CUDA_BLOCKS, typename DBODY >

void mfem::CuWrap1D	(	const int	N,
		DBODY &&	d_body )

Definition at line 509 of file forall.hpp.

CuWrap2D()

template<typename DBODY >

void mfem::CuWrap2D	(	const int	N,
		DBODY &&	d_body,
		const int	X,
		const int	Y,
		const int	BZ )

Definition at line 518 of file forall.hpp.

CuWrap3D()

template<typename DBODY >

void mfem::CuWrap3D	(	const int	N,
		DBODY &&	d_body,
		const int	X,
		const int	Y,
		const int	Z,
		const int	G )

Definition at line 530 of file forall.hpp.

DataCollectionToFmsDataCollection()

int mfem::DataCollectionToFmsDataCollection	(	DataCollection *	mfem_dc,
		FmsDataCollection *	dc )

In-memory conversion of MFEM data collection to an FMS data collection.

Parameters

	mfem_dc	The MFEM data collection to convert.
[out]	dc	A pointer to a new FmsDataCollection containing the MFEM data.

Returns

0 on success; non-zero on failure.

Definition at line 1868 of file fmsconvert.cpp.

delete_hypre_ParCSRMatrixColMapOffd()

void mfem::delete_hypre_ParCSRMatrixColMapOffd ( hypre_ParCSRMatrix * A )

inline

Definition at line 2773 of file hypre.cpp.

der_sigmoid()

real_t mfem::der_sigmoid

(

real_t

x

)

Derivative of sigmoid function.

Definition at line 33 of file ex37.hpp.

Det2D()

MFEM_HOST_DEVICE real_t mfem::Det2D ( DeviceMatrix & J )

inline

Definition at line 23 of file lor_util.hpp.

Det3D()

MFEM_HOST_DEVICE real_t mfem::Det3D ( DeviceMatrix & J )

inline

Definition at line 28 of file lor_util.hpp.

detJ_i_function()

real_t mfem::detJ_i_function	(	const Vector &	x,
		CartesianPML *	pml )

Definition at line 170 of file pml.cpp.

detJ_Jt_J_inv_i_function()

void mfem::detJ_Jt_J_inv_i_function	(	const Vector &	x,
		CartesianPML *	pml,
		DenseMatrix &	M )

Definition at line 259 of file pml.cpp.

detJ_Jt_J_inv_r_function()

void mfem::detJ_Jt_J_inv_r_function	(	const Vector &	x,
		CartesianPML *	pml,
		DenseMatrix &	M )

Definition at line 242 of file pml.cpp.

detJ_r_function()

real_t mfem::detJ_r_function	(	const Vector &	x,
		CartesianPML *	pml )

PML stretching functions: See https://doi.org/10.1006/jcph.1994.1159.

Definition at line 160 of file pml.cpp.

DetOfLinComb()

void mfem::DetOfLinComb	(	const DenseMatrix &	A,
		const DenseMatrix &	B,
		Vector &	c )

Definition at line 8555 of file mesh.cpp.

DeviceCanUseCeed()

bool mfem::DeviceCanUseCeed

(

)

Function that determines if a CEED kernel should be used, based on the current mfem::Device configuration.

Definition at line 33 of file util.cpp.

DeviceCanUseOcca()

bool mfem::DeviceCanUseOcca ( )

inline

Function that determines if an OCCA kernel should be used, based on the current mfem::Device configuration.

Definition at line 69 of file occa.hpp.

dgemv_()

void mfem::dgemv_	(	char *	,
		int *	,
		int *	,
		double *	,
		double *	,
		int *	,
		double *	,
		int *	,
		double *	,
		double *	,
		int *	)

dgeqrf_()

void mfem::dgeqrf_	(	int *	,
		int *	,
		double *	,
		int *	,
		double *	,
		double *	,
		int *	,
		int *	)

DiscreteCurl()

HypreParMatrix * mfem::DiscreteCurl	(	ParFiniteElementSpace *	face_fespace,
		ParFiniteElementSpace *	edge_fespace )

Compute the discrete curl matrix between the ND1 and RT0 spaces.

DiscreteGrad()

HypreParMatrix * mfem::DiscreteGrad	(	ParFiniteElementSpace *	edge_fespace,
		ParFiniteElementSpace *	vert_fespace )

Compute the discrete gradient matrix between the nodal linear and ND1 spaces.

Distance() [1/2]

real_t mfem::Distance ( const real_t * x, const real_t * y, const int n )

inline

Definition at line 669 of file vector.hpp.

Distance() [2/2]

real_t mfem::Distance ( const Vector & x, const Vector & y )

inline

Definition at line 674 of file vector.hpp.

DistanceSquared()

real_t mfem::DistanceSquared ( const real_t * x, const real_t * y, const int n )

inline

Definition at line 657 of file vector.hpp.

dormqr_()

void mfem::dormqr_	(	char *	,
		char *	,
		int *	,
		int *	,
		int *	,
		double *	,
		int *	,
		double *	,
		double *	,
		int *	,
		double *	,
		int *	,
		int *	)

dsyev_Eigensystem()

void mfem::dsyev_Eigensystem	(	DenseMatrix &	a,
		Vector &	ev,
		DenseMatrix *	evect )

Definition at line 1135 of file densemat.cpp.

dsyevr_Eigensystem()

void mfem::dsyevr_Eigensystem	(	DenseMatrix &	a,
		Vector &	ev,
		DenseMatrix *	evect )

Definition at line 960 of file densemat.cpp.

dsygv_Eigensystem()

void mfem::dsygv_Eigensystem	(	DenseMatrix &	a,
		DenseMatrix &	b,
		Vector &	ev,
		DenseMatrix *	evect )

Definition at line 1221 of file densemat.cpp.

dtrsm_()

void mfem::dtrsm_	(	char *	side,
		char *	uplo,
		char *	transa,
		char *	diag,
		int *	m,
		int *	n,
		double *	alpha,
		double *	a,
		int *	lda,
		double *	b,
		int *	ldb )

EliminateBC() [1/2]

void mfem::EliminateBC	(	const HypreParMatrix &	A,
		const HypreParMatrix &	Ae,
		const Array< int > &	ess_dof_list,
		const Vector &	X,
		Vector &	B )

Eliminate essential BC specified by ess_dof_list from the solution X to the r.h.s. B.

Here A is a matrix with eliminated BC, while Ae is such that (A+Ae) is the original (Neumann) matrix before elimination.

Definition at line 3379 of file hypre.cpp.

EliminateBC() [2/2]

void mfem::EliminateBC	(	PetscParMatrix &	A,
		PetscParMatrix &	Ae,
		const Array< int > &	ess_dof_list,
		const Vector &	X,
		Vector &	B )

Eliminate essential BC specified by ess_dof_list from the solution X to the r.h.s. B.

Here, A is a matrix with eliminated BC, while Ae is such that (A + Ae) is the original (Neumann) matrix before elimination.

Definition at line 2331 of file petsc.cpp.

EliminateColumns()

void mfem::EliminateColumns	(	HypreParMatrix &	D,
		const Array< int > &	ess_dofs )

Eliminates columns in the given HypreParMatrix.

This is similar to HypreParMatrix::EliminateBC, except that only the columns are eliminated.

Definition at line 23 of file discrete_divergence.cpp.

EnsureCapacity()

template<typename T >

void mfem::EnsureCapacity	(	Memory< T > &	mem,
		int	capacity )

Ensure that mem has at least capacity capacity.

If the capacity of mem is not large enough, delete it and allocate new memory with size capacity.

Definition at line 120 of file lor_batched.hpp.

EulerInitialCondition()

VectorFunctionCoefficient mfem::EulerInitialCondition	(	const int	problem,
		const real_t	specific_heat_ratio,
		const real_t	gas_constant )

Definition at line 317 of file ex18.hpp.

EulerMesh()

Mesh mfem::EulerMesh

(

const int

problem

)

Definition at line 299 of file ex18.hpp.

Extrude1D()

Mesh * mfem::Extrude1D	(	Mesh *	mesh,
		const int	ny,
		const real_t	sy,
		const bool	closed )

Extrude a 1D mesh.

Definition at line 14348 of file mesh.cpp.

Extrude1DGridFunction()

GridFunction * mfem::Extrude1DGridFunction	(	Mesh *	mesh,
		Mesh *	mesh2d,
		GridFunction *	sol,
		const int	ny )

Extrude a scalar 1D GridFunction, after extruding the mesh with Extrude1D.

Definition at line 4462 of file gridfunc.cpp.

Extrude2D()

Mesh * mfem::Extrude2D	(	Mesh *	mesh,
		const int	nz,
		const real_t	sz )

Extrude a 2D mesh.

Definition at line 14508 of file mesh.cpp.

f()

std::function< real_t(const Vector &)> mfem::f

(

real_t

mass_coeff

)

Definition at line 30 of file lor_mms.hpp.

f_vec()

std::function< void(const Vector &, Vector &)> mfem::f_vec

(

bool

grad_div_problem

)

Definition at line 68 of file lor_mms.hpp.

FillWithRandomNumbers()

void mfem::FillWithRandomNumbers	(	std::vector< real_t > &	x,
		real_t	a,
		real_t	b )

Fills the vector x with random numbers between a and b.

Definition at line 18 of file util.cpp.

FillWithRandomRotations()

void mfem::FillWithRandomRotations

(

std::vector< real_t > &

x

)

This function creates random rotation matrices (3 x 3) and stores them in the vector. That means, x[0-8] is the first rotation matrix, x[9-17] is the second and so forth. Size of the vector determines the number of rotation that fit into the vector and should be a multiple of 9.

Definition at line 26 of file util.cpp.

filter_dos()

void mfem::filter_dos ( std::string & line )

inline

Check for, and remove, a trailing '\r' from and std::string.

Definition at line 45 of file text.hpp.

FinalizeTransfer()

int mfem::FinalizeTransfer

(

)

Finalize the par_moonolith library.

Returns

Zero if everything has succeeded.

Definition at line 23 of file transfer.cpp.

FindPartitioningComponents()

void mfem::FindPartitioningComponents	(	Table &	elem_elem,
		const Array< int > &	partitioning,
		Array< int > &	component,
		Array< int > &	num_comp )

Definition at line 8427 of file mesh.cpp.

FindRoots()

int mfem::FindRoots	(	const Vector &	z,
		Vector &	x )

Definition at line 8635 of file mesh.cpp.

FindTMax()

void mfem::FindTMax	(	Vector &	c,
		Vector &	x,
		real_t &	tmax,
		const real_t	factor,
		const int	Dim )

Definition at line 8782 of file mesh.cpp.

FmsDataCollectionToDataCollection()

int mfem::FmsDataCollectionToDataCollection	(	FmsDataCollection	dc,
		DataCollection **	mfem_dc )

In-memory conversion of FMS data collection to an MFEM data collection.

Parameters

	dc	The FMS data collection to convert.
[out]	mfem_dc	A pointer to a new MFEM DataCollection containing the FMS data.

Returns

0 on success; non-zero on failure.

Definition at line 1386 of file fmsconvert.cpp.

FmsFieldToGridFunction()

template<typename DataType >

int mfem::FmsFieldToGridFunction	(	FmsMesh	fms_mesh,
		FmsField	f,
		Mesh *	mesh,
		GridFunction &	func,
		bool	setFE )

This function converts an FmsField to an MFEM GridFunction.

Note

I took some of the Pumi example code from the mesh conversion function that converted coordinates and am trying to make it more general. Coordinates are just another field so it seems like a good starting point. We still have to support a bunch of other function types, etc.

Definition at line 107 of file fmsconvert.cpp.

FmsMeshToMesh()

int mfem::FmsMeshToMesh	(	FmsMesh	fms_mesh,
		Mesh **	mfem_mesh )

Definition at line 452 of file fmsconvert.cpp.

FmsMetaDataGetInteger()

bool mfem::FmsMetaDataGetInteger	(	FmsMetaData	mdata,
		const std::string &	key,
		std::vector< int > &	values )

Definition at line 1172 of file fmsconvert.cpp.

FmsMetaDataGetScalar()

bool mfem::FmsMetaDataGetScalar	(	FmsMetaData	mdata,
		const std::string &	key,
		std::vector< double > &	values )

Definition at line 1273 of file fmsconvert.cpp.

FmsMetaDataGetString()

bool mfem::FmsMetaDataGetString	(	FmsMetaData	mdata,
		const std::string &	key,
		std::string &	value )

Definition at line 1338 of file fmsconvert.cpp.

forall()

template<typename lambda >

void mfem::forall ( int N, lambda && body )

inline

Definition at line 754 of file forall.hpp.

forall_2D()

template<typename lambda >

void mfem::forall_2D ( int N, int X, int Y, lambda && body )

inline

Definition at line 763 of file forall.hpp.

forall_2D_batch()

template<typename lambda >

void mfem::forall_2D_batch ( int N, int X, int Y, int BZ, lambda && body )

inline

Definition at line 769 of file forall.hpp.

forall_3D()

template<typename lambda >

void mfem::forall_3D ( int N, int X, int Y, int Z, lambda && body )

inline

Definition at line 775 of file forall.hpp.

forall_3D_grid()

template<typename lambda >

void mfem::forall_3D_grid ( int N, int X, int Y, int Z, int G, lambda && body )

inline

Definition at line 781 of file forall.hpp.

forall_switch()

template<typename lambda >

void mfem::forall_switch ( bool use_dev, int N, lambda && body )

inline

Definition at line 757 of file forall.hpp.

ForallWrap() [1/2]

template<const int DIM, typename d_lambda , typename h_lambda >

void mfem::ForallWrap ( const bool use_dev, const int N, d_lambda && d_body, h_lambda && h_body, const int X = 0, const int Y = 0, const int Z = 0, const int G = 0 )

inline

The forall kernel body wrapper.

Definition at line 676 of file forall.hpp.

ForallWrap() [2/2]

template<const int DIM, typename lambda >

void mfem::ForallWrap ( const bool use_dev, const int N, lambda && body, const int X = 0, const int Y = 0, const int Z = 0, const int G = 0 )

inline

Definition at line 746 of file forall.hpp.

FormDiscreteDivergenceMatrix()

HypreParMatrix * mfem::FormDiscreteDivergenceMatrix	(	ParFiniteElementSpace &	fes_rt,
		ParFiniteElementSpace &	fes_l2,
		const Array< int > &	ess_dofs )

Definition at line 169 of file discrete_divergence.cpp.

FormElementToFace2D()

void mfem::FormElementToFace2D	(	int	order,
		Array< int > &	element2face )

Definition at line 126 of file discrete_divergence.cpp.

FormElementToFace3D()

void mfem::FormElementToFace3D	(	int	order,
		Array< int > &	element2face )

Definition at line 144 of file discrete_divergence.cpp.

GatherBlockOffsetData()

void mfem::GatherBlockOffsetData	(	MPI_Comm	comm,
		const int	rank,
		const int	nprocs,
		const int	num_loc,
		const Array< int > &	offsets,
		std::vector< int > &	all_num_loc,
		const int	numBlocks,
		std::vector< std::vector< HYPRE_BigInt > > &	blockProcOffsets,
		std::vector< HYPRE_BigInt > &	procOffsets,
		std::vector< std::vector< int > > &	procBlockOffsets,
		HYPRE_BigInt &	firstLocal,
		HYPRE_BigInt &	globalNum )

Definition at line 3072 of file hypre.cpp.

GeneratePlaneRotation()

void mfem::GeneratePlaneRotation ( real_t & dx, real_t & dy, real_t & cs, real_t & sn )

inline

Definition at line 930 of file solvers.cpp.

get_error_action()

ErrorAction mfem::get_error_action

(

)

Get the action MFEM takes when an error is encountered.

Definition at line 72 of file error.cpp.

GetCollocatedIntRule()

IntegrationRule mfem::GetCollocatedIntRule

(

FiniteElementSpace &

fes

)

Definition at line 500 of file lor_batched.cpp.

GetConfigStr()

const char * mfem::GetConfigStr

(

)

Return the MFEM configuration as a string.

Definition at line 66 of file version.cpp.

GetEVectorOrdering()

ElementDofOrdering mfem::GetEVectorOrdering

(

const FiniteElementSpace &

fes

)

Return LEXICOGRAPHIC if mesh contains only one topology and the elements are tensor elements, otherwise, return NATIVE.

Definition at line 3719 of file fespace.cpp.

GetGitStr()

const char * mfem::GetGitStr

(

)

Return the MFEM Git hash as a string.

Definition at line 59 of file version.cpp.

GetGlobalMPI_Comm()

MPI_Comm mfem::GetGlobalMPI_Comm

(

)

Get MFEM's "global" MPI communicator.

Definition at line 62 of file globals.cpp.

GetHypreMemoryClass()

MemoryClass mfem::GetHypreMemoryClass ( )

inline

The MemoryClass used by Hypre objects.

Definition at line 154 of file hypre.hpp.

GetHypreMemoryLocation()

HYPRE_MemoryLocation mfem::GetHypreMemoryLocation ( )

inline

Return the configured HYPRE_MemoryLocation.

Definition at line 889 of file mem_manager.hpp.

GetHypreMemoryType()

MemoryType mfem::GetHypreMemoryType ( )

inline

The MemoryType used by MFEM when allocating arrays for Hypre objects.

Definition at line 179 of file hypre.hpp.

GetHypreParMatrixMemoryLocation()

decltype(hypre_CSRMatrix::memory_location) mfem::GetHypreParMatrixMemoryLocation ( MemoryClass mc )

inline

Definition at line 563 of file hypre.cpp.

GetInverseOrientation_()

template<Geometry::Type GEOM>

int mfem::GetInverseOrientation_

(

int

orientation

)

Definition at line 256 of file geom.cpp.

GetLVectorFaceNbrData()

Vector mfem::GetLVectorFaceNbrData	(	const FiniteElementSpace &	fes,
		const Vector &	x,
		FaceType	ftype )

Return the face-neighbor data given the L-vector x.

If the input vector x is a ParGridFunction with non-empty face-neighbor data, return an alias to ParGridFunction::FaceNbrData() (avoiding an unneeded call to ParGridFunction::ExchangeFaceNbrData).

Otherwise, create a temporary ParGridFunction, exchange the face-neighbor data, and return the resulting vector.

If fes is not a parallel space, or if ftype is not FaceType::Interior, return an empty vector.

Definition at line 2285 of file restriction.cpp.

GetMassIntRule()

const IntegrationRule & mfem::GetMassIntRule

(

FiniteElementSpace &

fes_l2

)

Definition at line 58 of file hdiv_linear_solver.cpp.

GetMemoryClass()

template<typename T >

MemoryClass mfem::GetMemoryClass	(	const Memory< T > &	mem,
		bool	on_dev )

Return the memory class to be used by the functions Read(), Write(), and ReadWrite(), while setting the device use flag in mem, if on_dev is true.

Definition at line 302 of file device.hpp.

GetMemoryType()

MemoryType mfem::GetMemoryType

(

MemoryClass

mc

)

Return a suitable MemoryType for a given MemoryClass.

Definition at line 60 of file mem_manager.cpp.

GetMovingVortexInit()

std::function< void(const Vector &, Vector &)> mfem::GetMovingVortexInit	(	const real_t	radius,
		const real_t	Minf,
		const real_t	beta,
		const real_t	gas_constant,
		const real_t	specific_heat_ratio )

Definition at line 249 of file ex18.hpp.

GetSpacingFunction()

std::unique_ptr< SpacingFunction > mfem::GetSpacingFunction	(	const SpacingType	spacingType,
		Array< int > const &	ipar,
		Vector const &	dpar )

Returns a new SpacingFunction instance defined by the type and parameters.

Definition at line 17 of file spacing.cpp.

GetVersion()

int mfem::GetVersion

(

)

Return the MFEM version number as a single integer.

Definition at line 22 of file version.cpp.

GetVersionMajor()

int mfem::GetVersionMajor

(

)

Return the MFEM major version number as an integer.

Definition at line 28 of file version.cpp.

GetVersionMinor()

int mfem::GetVersionMinor

(

)

Return the MFEM minor version number as an integer.

Definition at line 34 of file version.cpp.

GetVersionPatch()

int mfem::GetVersionPatch

(

)

Return the MFEM version patch number as an integer.

Definition at line 40 of file version.cpp.

GetVersionStr()

const char * mfem::GetVersionStr

(

)

Return the MFEM version number as a string.

Definition at line 46 of file version.cpp.

GlobalLpNorm()

real_t mfem::GlobalLpNorm	(	const real_t	p,
		real_t	loc_norm,
		MPI_Comm	comm )

Compute a global Lp norm from the local Lp norms computed by each processor.

Definition at line 1224 of file pgridfunc.cpp.

GMRES() [1/2]

void mfem::GMRES	(	const Operator &	A,
		Solver &	B,
		const Vector &	b,
		Vector &	x,
		int	print_iter,
		int	max_num_iter,
		int	m,
		real_t	rtol,
		real_t	atol )

GMRES method. (tolerances are squared)

Definition at line 1361 of file solvers.cpp.

GMRES() [2/2]

int mfem::GMRES	(	const Operator &	A,
		Vector &	x,
		const Vector &	b,
		Solver &	M,
		int &	max_iter,
		int	m,
		real_t &	tol,
		real_t	atol,
		int	printit )

GMRES method. (tolerances are squared)

Definition at line 1342 of file solvers.cpp.

GmshHOHexahedronMapping()

void mfem::GmshHOHexahedronMapping	(	int	order,
		int *	map )

Generate Gmsh vertex mapping for a Hexahedron.

Definition at line 436 of file gmsh.cpp.

GmshHOPyramidMapping()

void mfem::GmshHOPyramidMapping	(	int	order,
		int *	map )

Generate Gmsh vertex mapping for a Pyramid.

Definition at line 470 of file gmsh.cpp.

GmshHOQuadrilateralMapping()

void mfem::GmshHOQuadrilateralMapping	(	int	order,
		int *	map )

Generate Gmsh vertex mapping for a Quadrilateral.

Definition at line 403 of file gmsh.cpp.

GmshHOSegmentMapping()

void mfem::GmshHOSegmentMapping	(	int	order,
		int *	map )

Generate Gmsh vertex mapping for a Segment.

Definition at line 378 of file gmsh.cpp.

GmshHOTetrahedronMapping()

void mfem::GmshHOTetrahedronMapping	(	int	order,
		int *	map )

Generate Gmsh vertex mapping for a Tetrahedron.

Definition at line 417 of file gmsh.cpp.

GmshHOTriangleMapping()

void mfem::GmshHOTriangleMapping	(	int	order,
		int *	map )

Generate Gmsh vertex mapping for a Triangle.

Definition at line 388 of file gmsh.cpp.

GmshHOWedgeMapping()

void mfem::GmshHOWedgeMapping	(	int	order,
		int *	map )

Generate Gmsh vertex mapping for a Wedge.

Definition at line 453 of file gmsh.cpp.

GridFunctionToFmsField()

int mfem::GridFunctionToFmsField	(	FmsDataCollection	dc,
		FmsComponent	comp,
		const std::string &	fd_name,
		const std::string &	field_name,
		const Mesh *	mesh,
		const GridFunction *	gf,
		FmsField *	outfield )

Note

We add the FMS field descriptor and field in here so we can only do it after successfully validating the inputs (handling certain grid function types, etc.)

Definition at line 948 of file fmsconvert.cpp.

HashGridDetectIntersections()

bool mfem::HashGridDetectIntersections	(	const Mesh &	src,
		const Mesh &	dest,
		std::vector< moonolith::Integer > &	pairs )

Definition at line 113 of file mortarassembler.cpp.

HasIntegrators()

template<typename T1 , typename T2 >

bool mfem::HasIntegrators

(

BilinearForm &

a

)

Definition at line 27 of file lor_batched.cpp.

HipCheckLastError()

void mfem::HipCheckLastError

(

)

Check the error code returned by hipGetLastError(), aborting on error.

Definition at line 178 of file hip.cpp.

HipGetDeviceCount()

int mfem::HipGetDeviceCount

(

)

Get the number of HIP devices.

Definition at line 185 of file hip.cpp.

HipMallocManaged()

void * mfem::HipMallocManaged	(	void **	dptr,
		size_t	bytes )

Allocates managed device memory.

Definition at line 49 of file hip.cpp.

HipMemAlloc()

void * mfem::HipMemAlloc	(	void **	dptr,
		size_t	bytes )

Allocates device memory.

Definition at line 34 of file hip.cpp.

HipMemAllocHostPinned()

void * mfem::HipMemAllocHostPinned	(	void **	ptr,
		size_t	bytes )

Allocates page-locked (pinned) host memory.

Definition at line 64 of file hip.cpp.

HipMemcpyDtoD()

void * mfem::HipMemcpyDtoD	(	void *	dst,
		const void *	src,
		size_t	bytes )

Copies memory from Device to Device.

Definition at line 132 of file hip.cpp.

HipMemcpyDtoDAsync()

void * mfem::HipMemcpyDtoDAsync	(	void *	dst,
		const void *	src,
		size_t	bytes )

Copies memory from Device to Device.

Definition at line 147 of file hip.cpp.

HipMemcpyDtoH()

void * mfem::HipMemcpyDtoH	(	void *	dst,
		const void *	src,
		size_t	bytes )

Copies memory from Device to Host.

Definition at line 155 of file hip.cpp.

HipMemcpyDtoHAsync()

void * mfem::HipMemcpyDtoHAsync	(	void *	dst,
		const void *	src,
		size_t	bytes )

Copies memory from Device to Host.

Definition at line 170 of file hip.cpp.

HipMemcpyHtoD()

void * mfem::HipMemcpyHtoD	(	void *	dst,
		const void *	src,
		size_t	bytes )

Copies memory from Host to Device.

Definition at line 109 of file hip.cpp.

HipMemcpyHtoDAsync()

void * mfem::HipMemcpyHtoDAsync	(	void *	dst,
		const void *	src,
		size_t	bytes )

Copies memory from Host to Device.

Definition at line 124 of file hip.cpp.

HipMemFree()

void * mfem::HipMemFree

(

void *

dptr

)

Frees device memory.

Definition at line 79 of file hip.cpp.

HipMemFreeHostPinned()

void * mfem::HipMemFreeHostPinned

(

void *

ptr

)

Frees page-locked (pinned) host memory and returns destination ptr.

Definition at line 94 of file hip.cpp.

HipWrap1D()

template<const int BLCK = MFEM_HIP_BLOCKS, typename DBODY >

void mfem::HipWrap1D	(	const int	N,
		DBODY &&	d_body )

Definition at line 605 of file forall.hpp.

HipWrap2D()

template<typename DBODY >

void mfem::HipWrap2D	(	const int	N,
		DBODY &&	d_body,
		const int	X,
		const int	Y,
		const int	BZ )

Definition at line 614 of file forall.hpp.

HipWrap3D()

template<typename DBODY >

void mfem::HipWrap3D	(	const int	N,
		DBODY &&	d_body,
		const int	X,
		const int	Y,
		const int	Z,
		const int	G )

Definition at line 625 of file forall.hpp.

HostRead()

template<typename T >

const T * mfem::HostRead ( const Memory< T > & mem, int size )

inline

Shortcut to Read(const Memory<T> &mem, int size, false)

Definition at line 327 of file device.hpp.

HostReadWrite()

template<typename T >

T * mfem::HostReadWrite ( Memory< T > & mem, int size )

inline

Shortcut to ReadWrite(Memory<T> &mem, int size, false)

Definition at line 361 of file device.hpp.

HostWrite()

template<typename T >

T * mfem::HostWrite ( Memory< T > & mem, int size )

inline

Shortcut to Write(const Memory<T> &mem, int size, false)

Definition at line 344 of file device.hpp.

hypre_forall()

template<typename lambda >

void mfem::hypre_forall ( int N, lambda && body )

inline

Definition at line 823 of file forall.hpp.

hypre_forall_cpu()

template<typename lambda >

void mfem::hypre_forall_cpu ( int N, lambda && body )

inline

Definition at line 792 of file forall.hpp.

hypre_forall_gpu()

template<typename lambda >

void mfem::hypre_forall_gpu ( int N, lambda && body )

inline

Definition at line 804 of file forall.hpp.

HypreParMatrixFromBlocks() [1/2]

HypreParMatrix * mfem::HypreParMatrixFromBlocks	(	Array2D< const HypreParMatrix * > &	blocks,
		Array2D< real_t > *	blockCoeff = NULL )

Returns a merged hypre matrix constructed from hypre matrix blocks.

It is assumed that all block matrices use the same communicator, and the block sizes are consistent in rows and columns. Rows and columns are renumbered but not redistributed in parallel, e.g. the block rows owned by each process remain on that process in the resulting matrix. Some blocks can be NULL. Each block and the entire system can be rectangular. Scalability to extremely large processor counts is limited by global MPI communication, see GatherBlockOffsetData() in hypre.cpp.

Definition at line 3127 of file hypre.cpp.

HypreParMatrixFromBlocks() [2/2]

MFEM_DEPRECATED HypreParMatrix * mfem::HypreParMatrixFromBlocks	(	Array2D< HypreParMatrix * > &	blocks,
		Array2D< real_t > *	blockCoeff )

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Definition at line 3365 of file hypre.cpp.

HypreStealOwnership()

void mfem::HypreStealOwnership	(	HypreParMatrix &	A_hyp,
		SparseMatrix &	A_diag )

Make A_hyp steal ownership of its diagonal part A_diag.

If A_hyp does not own I and J, then they are aliases pointing to the I and J arrays in A_diag. In that case, this function swaps the memory objects. Similarly for the data array.

After this function is called, A_hyp will own all of the arrays of its diagonal part.

Note

I and J can only be aliases when HYPRE_BIGINT is disabled.

Definition at line 2840 of file hypre.cpp.

HypreUsingGPU()

bool mfem::HypreUsingGPU ( )

inline

Return true if HYPRE is configured to use GPU.

Definition at line 903 of file mem_manager.hpp.

infinity()

real_t mfem::infinity ( )

inline

Define a shortcut for std::numeric_limits<double>::infinity()

Definition at line 45 of file vector.hpp.

InitTransfer() [1/2]

void mfem::InitTransfer	(	int	argc,
		char *	argv[] )

Initializes the par_moonolith library. It also calls MPI_Init.

Parameters

argc	Standard argument passed to the main function.
argv	Standard argument passed to the main function.

Definition at line 19 of file transfer.cpp.

InitTransfer() [2/2]

void mfem::InitTransfer	(	int	argc,
		char *	argv[],
		MPI_Comm	comm )

Initializes the transfer library. It does not call MPI_Init, but uses the communicator defined by the user. This method can be called only after MPI_Init.

Parameters

argc	Standard argument passed to the main function.
argv	Standard argument passed to the main function.
comm	The user defined communicator.

Definition at line 26 of file transfer.cpp.

InnerProduct() [1/4]

real_t mfem::InnerProduct ( const Vector & x, const Vector & y )

inline

Returns the inner product of x and y.

In parallel this computes the inner product of the local vectors, producing different results on each MPI rank.

Definition at line 705 of file vector.hpp.

InnerProduct() [2/4]

real_t mfem::InnerProduct	(	HypreParVector &	x,
		HypreParVector &	y )

Returns the inner product of x and y.

Definition at line 444 of file hypre.cpp.

InnerProduct() [3/4]

real_t mfem::InnerProduct	(	HypreParVector *	x,
		HypreParVector *	y )

Definition at line 439 of file hypre.cpp.

InnerProduct() [4/4]

real_t mfem::InnerProduct ( MPI_Comm comm, const Vector & x, const Vector & y )

inline

Returns the inner product of x and y in parallel.

In parallel this computes the inner product of the global vectors, producing identical results on each MPI rank.

Definition at line 715 of file vector.hpp.

Interpolate()

NURBSPatch * mfem::Interpolate	(	NURBSPatch &	p1,
		NURBSPatch &	p2 )

Note

The returned object should be deleted by the caller.

Definition at line 1802 of file nurbs.cpp.

InterpolateTMOP_QualityMetric()

void mfem::InterpolateTMOP_QualityMetric	(	TMOP_QualityMetric &	metric,
		const TargetConstructor &	tc,
		const Mesh &	mesh,
		GridFunction &	metric_gf )

Interpolates the metric's values at the nodes of metric_gf.

Assumes that metric_gf's FiniteElementSpace is initialized.

Definition at line 4906 of file tmop.cpp.

inv_sigmoid()

real_t mfem::inv_sigmoid

(

real_t

x

)

Inverse sigmoid function.

Definition at line 12 of file ex37.hpp.

InvertLinearTrans()

void mfem::InvertLinearTrans	(	ElementTransformation &	trans,
		const IntegrationPoint &	pt,
		Vector &	x )

Definition at line 748 of file fe_base.cpp.

IsBigEndian()

bool mfem::IsBigEndian

(

)

Definition at line 595 of file vtk.cpp.

IsDeviceMemory()

bool mfem::IsDeviceMemory ( MemoryType mt )

inline

Return true if the given memory type is in MemoryClass::DEVICE.

Definition at line 95 of file mem_manager.hpp.

IsFinite()

bool mfem::IsFinite ( const real_t & val )

inline

Definition at line 507 of file vector.hpp.

IsHostMemory()

bool mfem::IsHostMemory ( MemoryType mt )

inline

Return true if the given memory type is in MemoryClass::HOST.

Definition at line 92 of file mem_manager.hpp.

IsIdentityProlongation()

bool mfem::IsIdentityProlongation ( const Operator * P )

inline

Returns true if P is the identity prolongation, i.e. if it is either NULL or an IdentityOperator.

Definition at line 720 of file operator.hpp.

isValidAsDouble()

int mfem::isValidAsDouble

(

char *

s

)

Definition at line 51 of file optparser.cpp.

isValidAsInt()

int mfem::isValidAsInt

(

char *

s

)

Definition at line 22 of file optparser.cpp.

Jacobian2D()

template<int SDIM = 2>

MFEM_HOST_DEVICE void mfem::Jacobian2D ( const real_t x, const real_t y, real_t ** v, DeviceMatrix & J )

inline

Jacobian2D< 2 >()

template<>

MFEM_HOST_DEVICE void mfem::Jacobian2D< 2 > ( const real_t x, const real_t y, real_t ** v, DeviceMatrix & J )

inline

Definition at line 138 of file lor_util.hpp.

Jacobian2D< 3 >()

template<>

MFEM_HOST_DEVICE void mfem::Jacobian2D< 3 > ( const real_t x, const real_t y, real_t ** v, DeviceMatrix & J )

inline

Definition at line 148 of file lor_util.hpp.

Jacobian3D()

MFEM_HOST_DEVICE void mfem::Jacobian3D ( const real_t x, const real_t y, const real_t z, const real_t vx[8], const real_t vy[8], const real_t vz[8], DeviceMatrix & J )

inline

Definition at line 210 of file lor_util.hpp.

Jt_J_detJinv_i_function()

void mfem::Jt_J_detJinv_i_function	(	const Vector &	x,
		CartesianPML *	pml,
		DenseMatrix &	M )

Definition at line 207 of file pml.cpp.

Jt_J_detJinv_r_function()

void mfem::Jt_J_detJinv_r_function	(	const Vector &	x,
		CartesianPML *	pml,
		DenseMatrix &	M )

Definition at line 191 of file pml.cpp.

KdTreeSort()

void mfem::KdTreeSort	(	int **	coords,
		int	d,
		int	dim,
		int	size )

Definition at line 1362 of file communication.cpp.

L2ZZErrorEstimator()

real_t mfem::L2ZZErrorEstimator	(	BilinearFormIntegrator &	flux_integrator,
		const ParGridFunction &	x,
		ParFiniteElementSpace &	smooth_flux_fes,
		ParFiniteElementSpace &	flux_fes,
		Vector &	errors,
		int	norm_p = 2,
		real_t	solver_tol = 1e-12,
		int	solver_max_it = 200 )

Performs a global L2 projection (through a HypreBoomerAMG solve) of flux from supplied discontinuous space into supplied smooth (continuous, or at least conforming) space, and computes the Lp norms of the differences between them on each element. This is one approach to handling conforming and non-conforming elements in parallel. Returns the total error estimate.

Definition at line 1298 of file pgridfunc.cpp.

LinearSolve()

bool mfem::LinearSolve	(	DenseMatrix &	A,
		real_t *	X,
		real_t	TOL = 1.e-9 )

Solves the dense linear system, A * X = B for X

Parameters

[in,out]	A	the square matrix for the linear system
[in,out]	X	the rhs vector, B, on input, the solution, X, on output.
[in]	TOL	optional fuzzy comparison tolerance. Defaults to 1e-9.

Returns

status set to true if successful, otherwise, false.

Note

This routine may replace the contents of the input Matrix, A, with the corresponding LU factorization of the matrix. Matrices of size 1x1 and 2x2 are handled explicitly.

Precondition

A.IsSquare() == true

X != nullptr

Definition at line 2455 of file densemat.cpp.

LORVertexCoordinates2D()

template<int ORDER, int SDIM = 2>

MFEM_HOST_DEVICE void mfem::LORVertexCoordinates2D ( const real_t * X, int iel_ho, int kx, int ky, real_t ** v )

inline

Definition at line 36 of file lor_util.hpp.

LORVertexCoordinates3D()

template<int ORDER>

MFEM_HOST_DEVICE void mfem::LORVertexCoordinates3D ( const real_t * X, int iel_ho, int kx, int ky, int kz, real_t vx[8], real_t vy[8], real_t vz[8] )

inline

Definition at line 75 of file lor_util.hpp.

LpNormLoop() [1/2]

real_t mfem::LpNormLoop	(	real_t	p,
		Coefficient &	coeff,
		Mesh &	mesh,
		const IntegrationRule *	irs[] )

Definition at line 1393 of file coefficient.cpp.

LpNormLoop() [2/2]

real_t mfem::LpNormLoop	(	real_t	p,
		VectorCoefficient &	coeff,
		Mesh &	mesh,
		const IntegrationRule *	irs[] )

Definition at line 1424 of file coefficient.cpp.

LSZZErrorEstimator()

real_t mfem::LSZZErrorEstimator	(	BilinearFormIntegrator &	blfi,
		GridFunction &	u,
		Vector &	error_estimates,
		bool	subdomain_reconstruction = true,
		bool	with_coeff = false,
		real_t	tichonov_coeff = 0.0 )

A `‘true’' ZZ error estimator that uses face-based patches for flux reconstruction.

Only two-element face patches are ever used:

• For conforming faces, the face patch consists of its two neighboring elements.
• In the non-conforming setting, only the face patches associated to fine-scale element faces are used. These face patches always consist of two elements delivered by mesh::GetFaceElements(Face, *Elem1, *Elem2).

Definition at line 4188 of file gridfunc.cpp.

MakeDiagonalMatrix()

HypreParMatrix * mfem::MakeDiagonalMatrix	(	Vector &	diag,
		const ParFiniteElementSpace &	fes )

Return a new HypreParMatrix with given diagonal entries.

Definition at line 28 of file hdiv_linear_solver.cpp.

MakeParFilename()

std::string mfem::MakeParFilename	(	const std::string &	prefix,
		const int	myid,
		const std::string	suffix = "",
		const int	width = 6 )

Construct a string of the form "<prefix><myid><suffix>" where the integer myid is padded with leading zeros to be at least width digits long.

This is a convenience function, e.g. to redirect mfem::out to individual files for each rank, one can use:

std::ofstream out_file(MakeParFilename("app_out.", myid).c_str());
mfem::out.SetStream(out_file);

Definition at line 43 of file globals.cpp.

MarkDofs()

void mfem::MarkDofs	(	const Array< int > &	dofs,
		Array< int > &	mark_array )

Definition at line 506 of file fespace.cpp.

MemoryClassContainsType()

bool mfem::MemoryClassContainsType	(	MemoryClass	mc,
		MemoryType	mt )

Return true iff the MemoryType mt is contained in the MemoryClass mc.

Definition at line 75 of file mem_manager.cpp.

MemoryPrintFlags()

void mfem::MemoryPrintFlags

(

unsigned

flags

)

Print the state of a Memory object based on its internal flags. Useful in a debugger. See also Memory<T>::PrintFlags().

Definition at line 1688 of file mem_manager.cpp.

MeshToFmsMesh()

int mfem::MeshToFmsMesh	(	const Mesh *	mmesh,
		FmsMesh *	fmesh,
		FmsComponent *	volume )

Definition at line 1531 of file fmsconvert.cpp.

mfem_backtrace()

void mfem::mfem_backtrace	(	int	mode,
		int	depth )

Definition at line 83 of file error.cpp.

mfem_cuda_error()

void mfem::mfem_cuda_error	(	cudaError_t	err,
		const char *	expr,
		const char *	func,
		const char *	file,
		int	line )

Definition at line 23 of file cuda.cpp.

mfem_error()

void mfem::mfem_error

(

const char *

msg

)

Definition at line 154 of file error.cpp.

mfem_hip_error()

void mfem::mfem_hip_error	(	hipError_t	err,
		const char *	expr,
		const char *	func,
		const char *	file,
		int	line )

Definition at line 23 of file hip.cpp.

MFEM_REGISTER_TMOP_KERNELS() [1/27]

mfem::MFEM_REGISTER_TMOP_KERNELS	(	bool	,
		TC_IDEAL_SHAPE_GIVEN_SIZE_2D_KERNEL	,
		const int	NE,
		const Array< real_t > &	b_,
		const Array< real_t > &	g_,
		const DenseMatrix &	w_,
		const Vector &	x_,
		DenseTensor &	j_,
		const int	d1d,
		const int	q1d )

Definition at line 53 of file tmop_pa_tc2.cpp.

MFEM_REGISTER_TMOP_KERNELS() [2/27]

mfem::MFEM_REGISTER_TMOP_KERNELS	(	bool	,
		TC_IDEAL_SHAPE_GIVEN_SIZE_3D_KERNEL	,
		const int	NE,
		const Array< real_t > &	b_,
		const Array< real_t > &	g_,
		const DenseMatrix &	w_,
		const Vector &	x_,
		DenseTensor &	j_,
		const int	d1d,
		const int	q1d )

Definition at line 54 of file tmop_pa_tc3.cpp.

MFEM_REGISTER_TMOP_KERNELS() [3/27]

mfem::MFEM_REGISTER_TMOP_KERNELS	(	bool	,
		TC_IDEAL_SHAPE_UNIT_SIZE_2D_KERNEL	,
		const int	NE,
		const DenseMatrix &	w_,
		DenseTensor &	j_,
		const int	d1d,
		const int	q1d )

Definition at line 24 of file tmop_pa_tc2.cpp.

MFEM_REGISTER_TMOP_KERNELS() [4/27]

mfem::MFEM_REGISTER_TMOP_KERNELS	(	bool	,
		TC_IDEAL_SHAPE_UNIT_SIZE_3D_KERNEL	,
		const int	NE,
		const DenseMatrix &	w_,
		DenseTensor &	j_,
		const int	d1d,
		const int	q1d )

Definition at line 23 of file tmop_pa_tc3.cpp.

MFEM_REGISTER_TMOP_KERNELS() [5/27]

mfem::MFEM_REGISTER_TMOP_KERNELS	(	real_t	,
		EnergyPA_2D	,
		const real_t	metric_normal,
		const Vector &	mc_,
		const Array< real_t > &	metric_param,
		const int	mid,
		const int	NE,
		const DenseTensor &	j_,
		const Array< real_t > &	w_,
		const Array< real_t > &	b_,
		const Array< real_t > &	g_,
		const Vector &	x_,
		const Vector &	ones,
		Vector &	energy,
		const int	d1d,
		const int	q1d )

Definition at line 74 of file tmop_pa_w2.cpp.

MFEM_REGISTER_TMOP_KERNELS() [6/27]

mfem::MFEM_REGISTER_TMOP_KERNELS	(	real_t	,
		EnergyPA_3D	,
		const real_t	metric_normal,
		const Vector &	mc_,
		const Array< real_t > &	metric_param,
		const int	mid,
		const int	NE,
		const DenseTensor &	j_,
		const Array< real_t > &	w_,
		const Array< real_t > &	b_,
		const Array< real_t > &	g_,
		const Vector &	ones,
		const Vector &	x_,
		Vector &	energy,
		const int	d1d,
		const int	q1d )

Definition at line 83 of file tmop_pa_w3.cpp.

MFEM_REGISTER_TMOP_KERNELS() [7/27]

mfem::MFEM_REGISTER_TMOP_KERNELS	(	real_t	,
		EnergyPA_C0_2D	,
		const real_t	lim_normal,
		const Vector &	lim_dist,
		const Vector &	c0_,
		const int	NE,
		const DenseTensor &	j_,
		const Array< real_t > &	w_,
		const Array< real_t > &	b_,
		const Array< real_t > &	bld_,
		const Vector &	x0_,
		const Vector &	x1_,
		const Vector &	ones,
		Vector &	energy,
		const bool	exp_lim,
		const int	d1d,
		const int	q1d )

Definition at line 21 of file tmop_pa_w2_c0.cpp.

MFEM_REGISTER_TMOP_KERNELS() [8/27]

mfem::MFEM_REGISTER_TMOP_KERNELS	(	real_t	,
		EnergyPA_C0_3D	,
		const real_t	lim_normal,
		const Vector &	lim_dist,
		const Vector &	c0_,
		const int	NE,
		const DenseTensor &	j_,
		const Array< real_t > &	w_,
		const Array< real_t > &	b_,
		const Array< real_t > &	bld_,
		const Vector &	x0_,
		const Vector &	x1_,
		const Vector &	ones,
		Vector &	energy,
		const bool	exp_lim,
		const int	d1d,
		const int	q1d )

Definition at line 21 of file tmop_pa_w3_c0.cpp.

MFEM_REGISTER_TMOP_KERNELS() [9/27]

mfem::MFEM_REGISTER_TMOP_KERNELS	(	real_t	,
		MinDetJpr_Kernel_2D	,
		const int	NE,
		const Array< real_t > &	b_,
		const Array< real_t > &	g_,
		const Vector &	x_,
		Vector &	DetJ,
		const int	d1d,
		const int	q1d )

Definition at line 21 of file tmop_pa_jp2.cpp.

MFEM_REGISTER_TMOP_KERNELS() [10/27]

mfem::MFEM_REGISTER_TMOP_KERNELS	(	real_t	,
		MinDetJpr_Kernel_3D	,
		const int	NE,
		const Array< real_t > &	b_,
		const Array< real_t > &	g_,
		const Vector &	x_,
		Vector &	DetJ,
		const int	d1d,
		const int	q1d )

Definition at line 21 of file tmop_pa_jp3.cpp.

MFEM_REGISTER_TMOP_KERNELS() [11/27]

mfem::MFEM_REGISTER_TMOP_KERNELS	(	void	,
		AddMultGradPA_Kernel_2D	,
		const int	NE,
		const Array< real_t > &	b_,
		const Array< real_t > &	g_,
		const DenseTensor &	j_,
		const Vector &	h_,
		const Vector &	x_,
		Vector &	y_,
		const int	d1d,
		const int	q1d )

Definition at line 20 of file tmop_pa_h2m.cpp.

MFEM_REGISTER_TMOP_KERNELS() [12/27]

mfem::MFEM_REGISTER_TMOP_KERNELS	(	void	,
		AddMultGradPA_Kernel_3D	,
		const int	NE,
		const Array< real_t > &	b_,
		const Array< real_t > &	g_,
		const DenseTensor &	j_,
		const Vector &	h_,
		const Vector &	x_,
		Vector &	y_,
		const int	d1d,
		const int	q1d )

Definition at line 20 of file tmop_pa_h3m.cpp.

MFEM_REGISTER_TMOP_KERNELS() [13/27]

mfem::MFEM_REGISTER_TMOP_KERNELS	(	void	,
		AddMultGradPA_Kernel_C0_2D	,
		const int	NE,
		const Array< real_t > &	b_,
		const Vector &	h0_,
		const Vector &	r_,
		Vector &	c_,
		const int	d1d,
		const int	q1d )

Definition at line 21 of file tmop_pa_h2m_c0.cpp.

MFEM_REGISTER_TMOP_KERNELS() [14/27]

mfem::MFEM_REGISTER_TMOP_KERNELS	(	void	,
		AddMultGradPA_Kernel_C0_3D	,
		const int	NE,
		const Array< real_t > &	b_,
		const Vector &	h0_,
		const Vector &	r_,
		Vector &	c_,
		const int	d1d,
		const int	q1d )

Definition at line 21 of file tmop_pa_h3m_c0.cpp.

MFEM_REGISTER_TMOP_KERNELS() [15/27]

mfem::MFEM_REGISTER_TMOP_KERNELS	(	void	,
		AddMultPA_Kernel_2D	,
		const real_t	metric_normal,
		const Vector &	mc_,
		const Array< real_t > &	metric_param,
		const int	mid,
		const int	NE,
		const DenseTensor &	j_,
		const Array< real_t > &	w_,
		const Array< real_t > &	b_,
		const Array< real_t > &	g_,
		const Vector &	x_,
		Vector &	y_,
		const int	d1d,
		const int	q1d )

Definition at line 99 of file tmop_pa_p2.cpp.

MFEM_REGISTER_TMOP_KERNELS() [16/27]

mfem::MFEM_REGISTER_TMOP_KERNELS	(	void	,
		AddMultPA_Kernel_3D	,
		const real_t	metric_normal,
		const Vector &	mc_,
		const Array< real_t > &	metric_param,
		const int	mid,
		const int	NE,
		const DenseTensor &	j_,
		const Array< real_t > &	w_,
		const Array< real_t > &	b_,
		const Array< real_t > &	g_,
		const Vector &	x_,
		Vector &	y_,
		const int	d1d,
		const int	q1d )

Definition at line 132 of file tmop_pa_p3.cpp.

MFEM_REGISTER_TMOP_KERNELS() [17/27]

mfem::MFEM_REGISTER_TMOP_KERNELS	(	void	,
		AddMultPA_Kernel_C0_2D	,
		const real_t	lim_normal,
		const Vector &	lim_dist,
		const Vector &	c0_,
		const int	NE,
		const DenseTensor &	j_,
		const Array< real_t > &	w_,
		const Array< real_t > &	b_,
		const Array< real_t > &	bld_,
		const Vector &	x0_,
		const Vector &	x1_,
		Vector &	y_,
		const bool	exp_lim,
		const int	d1d,
		const int	q1d )

Definition at line 21 of file tmop_pa_p2_c0.cpp.

MFEM_REGISTER_TMOP_KERNELS() [18/27]

mfem::MFEM_REGISTER_TMOP_KERNELS	(	void	,
		AddMultPA_Kernel_C0_3D	,
		const real_t	lim_normal,
		const Vector &	lim_dist,
		const Vector &	c0_,
		const int	NE,
		const DenseTensor &	j_,
		const Array< real_t > &	w_,
		const Array< real_t > &	b_,
		const Array< real_t > &	bld_,
		const Vector &	x0_,
		const Vector &	x1_,
		Vector &	y_,
		const bool	exp_lim,
		const int	d1d,
		const int	q1d )

Definition at line 21 of file tmop_pa_p3_c0.cpp.

MFEM_REGISTER_TMOP_KERNELS() [19/27]

mfem::MFEM_REGISTER_TMOP_KERNELS	(	void	,
		AssembleDiagonalPA_Kernel_2D	,
		const int	NE,
		const Array< real_t > &	b,
		const Array< real_t > &	g,
		const DenseTensor &	j,
		const Vector &	h,
		Vector &	diagonal,
		const int	d1d,
		const int	q1d )

Definition at line 51 of file tmop_pa_h2d.cpp.

MFEM_REGISTER_TMOP_KERNELS() [20/27]

mfem::MFEM_REGISTER_TMOP_KERNELS	(	void	,
		AssembleDiagonalPA_Kernel_3D	,
		const int	NE,
		const Array< real_t > &	b,
		const Array< real_t > &	g,
		const DenseTensor &	j,
		const Vector &	h,
		Vector &	diagonal,
		const int	d1d,
		const int	q1d )

Definition at line 20 of file tmop_pa_h3d.cpp.

MFEM_REGISTER_TMOP_KERNELS() [21/27]

mfem::MFEM_REGISTER_TMOP_KERNELS	(	void	,
		AssembleDiagonalPA_Kernel_C0_2D	,
		const int	NE,
		const Array< real_t > &	b,
		const Vector &	h0,
		Vector &	diagonal,
		const int	d1d,
		const int	q1d )

Definition at line 20 of file tmop_pa_h2d_c0.cpp.

MFEM_REGISTER_TMOP_KERNELS() [22/27]

mfem::MFEM_REGISTER_TMOP_KERNELS	(	void	,
		AssembleDiagonalPA_Kernel_C0_3D	,
		const int	NE,
		const Array< real_t > &	b,
		const Vector &	h0,
		Vector &	diagonal,
		const int	d1d,
		const int	q1d )

Definition at line 20 of file tmop_pa_h3d_c0.cpp.

MFEM_REGISTER_TMOP_KERNELS() [23/27]

mfem::MFEM_REGISTER_TMOP_KERNELS	(	void	,
		DatcSize	,
		const int	NE,
		const int	ncomp,
		const int	sizeidx,
		const real_t	input_min_size,
		const DenseMatrix &	w_,
		const Array< real_t > &	b_,
		const Vector &	x_,
		const Vector &	nc_reduce,
		DenseTensor &	j_,
		const int	d1d,
		const int	q1d )

Definition at line 20 of file tmop_pa_da3.cpp.

MFEM_REGISTER_TMOP_KERNELS() [24/27]

mfem::MFEM_REGISTER_TMOP_KERNELS	(	void	,
		SetupGradPA_2D	,
		const Vector &	x_,
		const real_t	metric_normal,
		const Vector &	mc_,
		const Array< real_t > &	metric_param,
		const int	mid,
		const int	NE,
		const Array< real_t > &	w_,
		const Array< real_t > &	b_,
		const Array< real_t > &	g_,
		const DenseTensor &	j_,
		Vector &	h_,
		const int	d1d,
		const int	q1d )

Definition at line 258 of file tmop_pa_h2s.cpp.

MFEM_REGISTER_TMOP_KERNELS() [25/27]

mfem::MFEM_REGISTER_TMOP_KERNELS	(	void	,
		SetupGradPA_3D	,
		const real_t	metric_normal,
		const Vector &	mc_,
		const Array< real_t > &	metric_param,
		const int	mid,
		const Vector &	x_,
		const int	NE,
		const Array< real_t > &	w_,
		const Array< real_t > &	b_,
		const Array< real_t > &	g_,
		const DenseTensor &	j_,
		Vector &	h_,
		const int	d1d,
		const int	q1d )

Definition at line 313 of file tmop_pa_h3s.cpp.

MFEM_REGISTER_TMOP_KERNELS() [26/27]

mfem::MFEM_REGISTER_TMOP_KERNELS	(	void	,
		SetupGradPA_C0_2D	,
		const real_t	lim_normal,
		const Vector &	lim_dist,
		const Vector &	c0_,
		const int	NE,
		const DenseTensor &	j_,
		const Array< real_t > &	w_,
		const Array< real_t > &	b_,
		const Array< real_t > &	bld_,
		const Vector &	x0_,
		const Vector &	x1_,
		Vector &	h0_,
		const bool	exp_lim,
		const int	d1d,
		const int	q1d )

Definition at line 21 of file tmop_pa_h2s_c0.cpp.

MFEM_REGISTER_TMOP_KERNELS() [27/27]

mfem::MFEM_REGISTER_TMOP_KERNELS	(	void	,
		SetupGradPA_Kernel_C0_3D	,
		const real_t	lim_normal,
		const Vector &	lim_dist,
		const Vector &	c0_,
		const int	NE,
		const DenseTensor &	j_,
		const Array< real_t > &	w_,
		const Array< real_t > &	b_,
		const Array< real_t > &	bld_,
		const Vector &	x0_,
		const Vector &	x1_,
		Vector &	h0_,
		const bool	exp_lim,
		const int	d1d,
		const int	q1d )

Definition at line 21 of file tmop_pa_h3s_c0.cpp.

mfem_warning()

void mfem::mfem_warning

(

const char *

msg

)

Definition at line 187 of file error.cpp.

MFEMFinalizePetsc()

void mfem::MFEMFinalizePetsc

(

)

Definition at line 241 of file petsc.cpp.

MFEMFinalizeSlepc()

void mfem::MFEMFinalizeSlepc

(

)

Definition at line 53 of file slepc.cpp.

MFEMInitializePetsc() [1/3]

void mfem::MFEMInitializePetsc

(

)

Convenience functions to initialize/finalize PETSc.

Definition at line 201 of file petsc.cpp.

MFEMInitializePetsc() [2/3]

void mfem::MFEMInitializePetsc	(	int *	argc,
		char ***	argv )

Definition at line 206 of file petsc.cpp.

MFEMInitializePetsc() [3/3]

void mfem::MFEMInitializePetsc	(	int *	argc,
		char ***	argv,
		const char	rc_file[],
		const char	help[] )

Definition at line 211 of file petsc.cpp.

MFEMInitializeSlepc() [1/3]

void mfem::MFEMInitializeSlepc

(

)

Definition at line 29 of file slepc.cpp.

MFEMInitializeSlepc() [2/3]

void mfem::MFEMInitializeSlepc	(	int *	argc,
		char ***	argv )

Definition at line 34 of file slepc.cpp.

MFEMInitializeSlepc() [3/3]

void mfem::MFEMInitializeSlepc	(	int *	argc,
		char ***	argv,
		const char	rc_file[],
		const char	help[] )

Definition at line 39 of file slepc.cpp.

MfemMetaDataToFmsMetaData()

bool mfem::MfemMetaDataToFmsMetaData	(	DataCollection *	mdc,
		FmsDataCollection	fdc )

Definition at line 1100 of file fmsconvert.cpp.

MinimumDiscardedFillOrdering()

void mfem::MinimumDiscardedFillOrdering	(	SparseMatrix &	C,
		Array< int > &	p )

Definition at line 2642 of file solvers.cpp.

MINRES() [1/2]

void mfem::MINRES	(	const Operator &	A,
		const Vector &	b,
		Vector &	x,
		int	print_it,
		int	max_it,
		real_t	rtol,
		real_t	atol )

MINRES method without preconditioner. (tolerances are squared)

Definition at line 1782 of file solvers.cpp.

MINRES() [2/2]

void mfem::MINRES	(	const Operator &	A,
		Solver &	B,
		const Vector &	b,
		Vector &	x,
		int	print_it,
		int	max_it,
		real_t	rtol,
		real_t	atol )

MINRES method with preconditioner. (tolerances are squared)

Definition at line 1796 of file solvers.cpp.

Mult() [1/7]

BlockMatrix * mfem::Mult	(	const BlockMatrix &	A,
		const BlockMatrix &	B )

Multiply BlockMatrix matrices: result = A*B.

Definition at line 685 of file blockmatrix.cpp.

Mult() [2/7]

ComplexDenseMatrix * mfem::Mult	(	const ComplexDenseMatrix &	A,
		const ComplexDenseMatrix &	B )

Matrix matrix multiplication. A = B * C.

Definition at line 308 of file complex_densemat.cpp.

Mult() [3/7]

void mfem::Mult	(	const DenseMatrix &	b,
		const DenseMatrix &	c,
		DenseMatrix &	a )

Matrix matrix multiplication. A = B * C.

Definition at line 2503 of file densemat.cpp.

Mult() [4/7]

SparseMatrix * mfem::Mult	(	const SparseMatrix &	A,
		const SparseMatrix &	B,
		SparseMatrix *	OAB = NULL )

Matrix product A.B.

If OAB is not NULL, we assume it has the structure of A.B and store the result in OAB. If OAB is NULL, we create a new SparseMatrix to store the result and return a pointer to it.

All matrices must be finalized.

Definition at line 3740 of file sparsemat.cpp.

Mult() [5/7]

DenseMatrix * mfem::Mult	(	const SparseMatrix &	A,
		DenseMatrix &	B )

Matrix product A.B.

Definition at line 3973 of file sparsemat.cpp.

Mult() [6/7]

Table * mfem::Mult	(	const Table &	A,
		const Table &	B )

Definition at line 547 of file table.cpp.

Mult() [7/7]

void mfem::Mult	(	const Table &	A,
		const Table &	B,
		Table &	C )

C = A * B (as boolean matrices)

Definition at line 476 of file table.cpp.

Mult_1_2()

template<bool Add, typename A_layout_t , typename A_data_t , typename B_layout_t , typename B_data_t , typename C_layout_t , typename C_data_t >

MFEM_ALWAYS_INLINE void mfem::Mult_1_2 ( const A_layout_t & A_layout, const A_data_t & A_data, const B_layout_t & B_layout, const B_data_t & B_data, const C_layout_t & C_layout, C_data_t & C_data )

inline

Definition at line 437 of file ttensor.hpp.

Mult_2_1()

template<bool Add, typename A_layout_t , typename A_data_t , typename B_layout_t , typename B_data_t , typename C_layout_t , typename C_data_t >

MFEM_ALWAYS_INLINE void mfem::Mult_2_1 ( const A_layout_t & A_layout, const A_data_t & A_data, const B_layout_t & B_layout, const B_data_t & B_data, const C_layout_t & C_layout, C_data_t & C_data )

inline

Definition at line 460 of file ttensor.hpp.

Mult_a_AAt()

void mfem::Mult_a_AAt	(	real_t	a,
		const DenseMatrix &	A,
		DenseMatrix &	AAt )

AAt = a * A * A^t.

Definition at line 3332 of file densemat.cpp.

Mult_AB()

template<bool Add, typename A_layout_t , typename A_data_t , typename B_layout_t , typename B_data_t , typename C_layout_t , typename C_data_t >

MFEM_ALWAYS_INLINE void mfem::Mult_AB ( const A_layout_t & A_layout, const A_data_t & A_data, const B_layout_t & B_layout, const B_data_t & B_data, const C_layout_t & C_layout, C_data_t & C_data )

inline

Definition at line 230 of file tmatrix.hpp.

Mult_AtDA()

SparseMatrix * mfem::Mult_AtDA	(	const SparseMatrix &	A,
		const Vector &	D,
		SparseMatrix *	OAtDA )

Matrix multiplication A^t D A. All matrices must be finalized.

Definition at line 4031 of file sparsemat.cpp.

MultAAt()

void mfem::MultAAt	(	const DenseMatrix &	a,
		DenseMatrix &	aat )

Calculate the matrix A.At.

Definition at line 2828 of file densemat.cpp.

MultAbstractSparseMatrix()

SparseMatrix * mfem::MultAbstractSparseMatrix	(	const AbstractSparseMatrix &	A,
		const AbstractSparseMatrix &	B )

Matrix product of sparse matrices. A and B do not need to be CSR matrices.

Definition at line 3876 of file sparsemat.cpp.

MultABt()

void mfem::MultABt	(	const DenseMatrix &	A,
		const DenseMatrix &	B,
		DenseMatrix &	ABt )

Multiply a matrix A with the transpose of a matrix B: A*Bt.

Definition at line 2890 of file densemat.cpp.

MultADAt()

void mfem::MultADAt	(	const DenseMatrix &	A,
		const Vector &	D,
		DenseMatrix &	ADAt )

ADAt = A D A^t, where D is diagonal.

Definition at line 2874 of file densemat.cpp.

MultADBt()

void mfem::MultADBt	(	const DenseMatrix &	A,
		const Vector &	D,
		const DenseMatrix &	B,
		DenseMatrix &	ADBt )

ADBt = A D B^t, where D is diagonal.

Definition at line 2959 of file densemat.cpp.

MultAtB() [1/2]

ComplexDenseMatrix * mfem::MultAtB	(	const ComplexDenseMatrix &	A,
		const ComplexDenseMatrix &	B )

Multiply the complex conjugate transpose of a matrix A with a matrix B. A^H*B.

Definition at line 371 of file complex_densemat.cpp.

MultAtB() [2/2]

void mfem::MultAtB	(	const DenseMatrix &	A,
		const DenseMatrix &	B,
		DenseMatrix &	AtB )

Multiply the transpose of a matrix A with a matrix B: At*B.

Definition at line 3159 of file densemat.cpp.

MultVVt()

void mfem::MultVVt	(	const Vector &	v,
		DenseMatrix &	vvt )

Make a matrix from a vector V.Vt.

Definition at line 3348 of file densemat.cpp.

MultVWt()

void mfem::MultVWt	(	const Vector &	v,
		const Vector &	w,
		DenseMatrix &	VWt )

Definition at line 3359 of file densemat.cpp.

NewCut()

std::shared_ptr< Cut > mfem::NewCut

(

const int

dim

)

Create a new cut object based on the spatial dimension

Parameters

dim	the spatial dimension

Definition at line 436 of file cut.cpp.

OccaDev()

occa::device & mfem::OccaDev

(

)

Return the default occa::device used by MFEM.

Definition at line 27 of file occa.cpp.

OccaMemoryRead()

template<typename T >

const occa::memory mfem::OccaMemoryRead	(	const Memory< T > &	mem,
		size_t	size )

Wrap a Memory object as occa::memory for read only access with the mfem::Device MemoryClass. The returned occa::memory is associated with the default occa::device used by MFEM.

Definition at line 37 of file occa.hpp.

OccaMemoryReadWrite()

template<typename T >

occa::memory mfem::OccaMemoryReadWrite	(	Memory< T > &	mem,
		size_t	size )

Wrap a Memory object as occa::memory for read-write access with the mfem::Device MemoryClass. The returned occa::memory is associated with the default occa::device used by MFEM.

Definition at line 59 of file occa.hpp.

OccaMemoryWrap()

occa::memory mfem::OccaMemoryWrap	(	void *	ptr,
		std::size_t	bytes )

Wrap a pointer as occa::memory with the default occa::device used by MFEM.

It is assumed that ptr is suitable for use with the current mfem::Device configuration.

Definition at line 29 of file occa.cpp.

OccaMemoryWrite()

template<typename T >

occa::memory mfem::OccaMemoryWrite	(	Memory< T > &	mem,
		size_t	size )

Wrap a Memory object as occa::memory for write only access with the mfem::Device MemoryClass. The returned occa::memory is associated with the default occa::device used by MFEM.

Definition at line 48 of file occa.hpp.

OmpWrap()

template<typename HBODY >

void mfem::OmpWrap	(	const int	N,
		HBODY &&	h_body )

OpenMP backend.

Definition at line 209 of file forall.hpp.

operator!=()

template<class T >

bool mfem::operator!= ( const Array< T > & LHS, const Array< T > & RHS )

inline

Definition at line 353 of file array.hpp.

operator""_r() [1/2]

MFEM_HOST_DEVICE constexpr real_t mfem::operator""_r ( long double v )

constexpr

Definition at line 51 of file config.hpp.

operator""_r() [2/2]

MFEM_HOST_DEVICE constexpr real_t mfem::operator""_r ( unsigned long long v )

constexpr

Definition at line 57 of file config.hpp.

operator&()

int mfem::operator& ( CoefficientStorage a, CoefficientStorage b )

inline

Definition at line 2301 of file coefficient.hpp.

operator*() [1/5]

MFEM_ALWAYS_INLINE AutoSIMD< double, 2, 16 > mfem::operator* ( const double & e, const AutoSIMD< double, 2, 16 > & v )

inline

Definition at line 241 of file m128.hpp.

operator*() [2/5]

__ATTRS_ai AutoSIMD< double, 4, 32 > mfem::operator* ( const double & e, const AutoSIMD< double, 4, 32 > & v )

inline

Definition at line 251 of file m256.hpp.

operator*() [3/5]

MFEM_ALWAYS_INLINE AutoSIMD< double, 8, 64 > mfem::operator* ( const double & e, const AutoSIMD< double, 8, 64 > & v )

inline

Definition at line 244 of file m512.hpp.

operator*() [4/5]

template<typename scalar_t , int S, int A>

MFEM_ALWAYS_INLINE AutoSIMD< scalar_t, S, A > mfem::operator* ( const scalar_t & e, const AutoSIMD< scalar_t, S, A > & v )

inline

Definition at line 260 of file auto.hpp.

operator*() [5/5]

MemoryClass mfem::operator*	(	MemoryClass	mc1,
		MemoryClass	mc2 )

Return a suitable MemoryClass from a pair of MemoryClasses.

Note: this operation is commutative, i.e. a*b = b*a, associative, i.e. (a*b)*c = a*(b*c), and has an identity element: MemoryClass::HOST.

Currently, the operation is defined as a*b := max(a,b) where the max operation is based on the enumeration ordering:

HOST < HOST_32 < HOST_64 < DEVICE < MANAGED.

Definition at line 130 of file mem_manager.cpp.

operator+() [1/4]

MFEM_ALWAYS_INLINE AutoSIMD< double, 2, 16 > mfem::operator+ ( const double & e, const AutoSIMD< double, 2, 16 > & v )

inline

Definition at line 223 of file m128.hpp.

operator+() [2/4]

__ATTRS_ai AutoSIMD< double, 4, 32 > mfem::operator+ ( const double & e, const AutoSIMD< double, 4, 32 > & v )

inline

Definition at line 233 of file m256.hpp.

operator+() [3/4]

MFEM_ALWAYS_INLINE AutoSIMD< double, 8, 64 > mfem::operator+ ( const double & e, const AutoSIMD< double, 8, 64 > & v )

inline

Definition at line 226 of file m512.hpp.

operator+() [4/4]

template<typename scalar_t , int S, int A>

MFEM_ALWAYS_INLINE AutoSIMD< scalar_t, S, A > mfem::operator+ ( const scalar_t & e, const AutoSIMD< scalar_t, S, A > & v )

inline

Definition at line 238 of file auto.hpp.

operator-() [1/4]

MFEM_ALWAYS_INLINE AutoSIMD< double, 2, 16 > mfem::operator- ( const double & e, const AutoSIMD< double, 2, 16 > & v )

inline

Definition at line 232 of file m128.hpp.

operator-() [2/4]

__ATTRS_ai AutoSIMD< double, 4, 32 > mfem::operator- ( const double & e, const AutoSIMD< double, 4, 32 > & v )

inline

Definition at line 242 of file m256.hpp.

operator-() [3/4]

MFEM_ALWAYS_INLINE AutoSIMD< double, 8, 64 > mfem::operator- ( const double & e, const AutoSIMD< double, 8, 64 > & v )

inline

Definition at line 235 of file m512.hpp.

operator-() [4/4]

template<typename scalar_t , int S, int A>

MFEM_ALWAYS_INLINE AutoSIMD< scalar_t, S, A > mfem::operator- ( const scalar_t & e, const AutoSIMD< scalar_t, S, A > & v )

inline

Definition at line 249 of file auto.hpp.

operator/() [1/4]

MFEM_ALWAYS_INLINE AutoSIMD< double, 2, 16 > mfem::operator/ ( const double & e, const AutoSIMD< double, 2, 16 > & v )

inline

Definition at line 250 of file m128.hpp.

operator/() [2/4]

__ATTRS_ai AutoSIMD< double, 4, 32 > mfem::operator/ ( const double & e, const AutoSIMD< double, 4, 32 > & v )

inline

Definition at line 260 of file m256.hpp.

operator/() [3/4]

MFEM_ALWAYS_INLINE AutoSIMD< double, 8, 64 > mfem::operator/ ( const double & e, const AutoSIMD< double, 8, 64 > & v )

inline

Definition at line 253 of file m512.hpp.

operator/() [4/4]

template<typename scalar_t , int S, int A>

MFEM_ALWAYS_INLINE AutoSIMD< scalar_t, S, A > mfem::operator/ ( const scalar_t & e, const AutoSIMD< scalar_t, S, A > & v )

inline

Definition at line 271 of file auto.hpp.

operator<() [1/4]

bool mfem::operator< ( const NCMesh::MeshId & a, const NCMesh::MeshId & b )

inline

Definition at line 549 of file pncmesh.hpp.

operator<() [2/4]

template<class A , class B >

bool mfem::operator<	(	const Pair< A, B > &	p,
		const Pair< A, B > &	q )

Comparison operator for class Pair, based on the first element only.

Definition at line 36 of file sort_pairs.hpp.

operator<() [3/4]

bool mfem::operator<	(	const ParNCMesh::CommGroup &	lhs,
		const ParNCMesh::CommGroup &	rhs )

Definition at line 372 of file pncmesh.cpp.

operator<() [4/4]

template<class A , class B , class C >

bool mfem::operator<	(	const Triple< A, B, C > &	p,
		const Triple< A, B, C > &	q )

Lexicographic comparison operator for class Triple.

Definition at line 72 of file sort_pairs.hpp.

operator<<() [1/5]

std::ostream & mfem::operator<<	(	std::ostream &	out,
		const GridFunction &	sol )

Overload operator<< for std::ostream and GridFunction; valid also for the derived class ParGridFunction

Definition at line 3862 of file gridfunc.cpp.

operator<<() [2/5]

std::ostream & mfem::operator<<	(	std::ostream &	os,
		const Mesh &	mesh )

Overload operator<< for std::ostream and Mesh; valid also for the derived class ParMesh

Definition at line 13075 of file mesh.cpp.

operator<<() [3/5]

std::ostream & mfem::operator<<	(	std::ostream &	os,
		const Mesh::FaceInformation &	info )

Print function for Mesh::FaceInformation.

Definition at line 1342 of file mesh.cpp.

operator<<() [4/5]

std::ostream & mfem::operator<< ( std::ostream & os, SparseMatrix const & mat )

inline

Definition at line 716 of file sparsemat.hpp.

operator<<() [5/5]

std::ostream & mfem::operator<<	(	std::ostream &	out,
		const QuadratureFunction &	qf )

Overload operator<< for std::ostream and QuadratureFunction.

operator==() [1/4]

template<class T >

bool mfem::operator== ( const Array< T > & LHS, const Array< T > & RHS )

inline

Definition at line 342 of file array.hpp.

operator==() [2/4]

template<class T >

bool mfem::operator== ( const ArraysByName< T > & LHS, const ArraysByName< T > & RHS )

inline

Definition at line 156 of file arrays_by_name.hpp.

operator==() [3/4]

bool mfem::operator== ( const NCMesh::MeshId & a, const NCMesh::MeshId & b )

inline

Definition at line 555 of file pncmesh.hpp.

operator==() [4/4]

template<class A , class B >

bool mfem::operator==	(	const Pair< A, B > &	p,
		const Pair< A, B > &	q )

Equality operator for class Pair, based on the first element only.

Definition at line 43 of file sort_pairs.hpp.

operator|()

CoefficientStorage mfem::operator| ( CoefficientStorage a, CoefficientStorage b )

inline

Definition at line 2296 of file coefficient.hpp.

order_multiplier()

int mfem::order_multiplier	(	const Geometry::Type	type,
		const int	dim )

Definition at line 164 of file mortarassembler.cpp.

Ordering::DofsToVDofs< Ordering::byNODES >()

template<>

void mfem::Ordering::DofsToVDofs< Ordering::byNODES >	(	int	ndofs,
		int	vdim,
		Array< int > &	dofs )

Definition at line 28 of file fespace.cpp.

Ordering::DofsToVDofs< Ordering::byVDIM >()

template<>

void mfem::Ordering::DofsToVDofs< Ordering::byVDIM >	(	int	ndofs,
		int	vdim,
		Array< int > &	dofs )

Definition at line 43 of file fespace.cpp.

Ordering::Map< Ordering::byNODES >()

template<>

int mfem::Ordering::Map< Ordering::byNODES > ( int ndofs, int vdim, int dof, int vd )

inline

Definition at line 58 of file fespace.hpp.

Ordering::Map< Ordering::byVDIM >()

template<>

int mfem::Ordering::Map< Ordering::byVDIM > ( int ndofs, int vdim, int dof, int vd )

inline

Definition at line 65 of file fespace.hpp.

OuterProduct() [1/4]

DenseMatrix * mfem::OuterProduct	(	const DenseMatrix &	A,
		const DenseMatrix &	B )

Produces a block matrix with blocks A_{ij}*B.

Definition at line 4175 of file sparsemat.cpp.

OuterProduct() [2/4]

SparseMatrix * mfem::OuterProduct	(	const DenseMatrix &	A,
		const SparseMatrix &	B )

Produces a block matrix with blocks A_{ij}*B.

Definition at line 4193 of file sparsemat.cpp.

OuterProduct() [3/4]

SparseMatrix * mfem::OuterProduct	(	const SparseMatrix &	A,
		const DenseMatrix &	B )

Produces a block matrix with blocks A_{ij}*B.

Definition at line 4222 of file sparsemat.cpp.

OuterProduct() [4/4]

SparseMatrix * mfem::OuterProduct	(	const SparseMatrix &	A,
		const SparseMatrix &	B )

Produces a block matrix with blocks A_{ij}*B.

Definition at line 4251 of file sparsemat.cpp.

ParAdd()

HypreParMatrix * mfem::ParAdd	(	const HypreParMatrix *	A,
		const HypreParMatrix *	B )

Returns the matrix A + B.

It is assumed that both matrices use the same row and column partitions and the same col_map_offd arrays.

Definition at line 2909 of file hypre.cpp.

ParBuildNormalConstraints()

SparseMatrix * mfem::ParBuildNormalConstraints	(	ParFiniteElementSpace &	fespace,
		Array< int > &	constrained_att,
		Array< int > &	constraint_rowstarts )

Parallel wrapper for BuildNormalConstraints.

Definition at line 947 of file constraints.cpp.

ParCSRRelax_FIR()

int mfem::ParCSRRelax_FIR	(	hypre_ParCSRMatrix *	A,
		hypre_ParVector *	f,
		real_t	max_eig,
		int	poly_order,
		real_t *	fir_coeffs,
		hypre_ParVector *	u,
		hypre_ParVector *	x0,
		hypre_ParVector *	x1,
		hypre_ParVector *	x2,
		hypre_ParVector *	x3 )

Definition at line 3426 of file hypre.cpp.

ParCSRRelax_Taubin()

int mfem::ParCSRRelax_Taubin	(	hypre_ParCSRMatrix *	A,
		hypre_ParVector *	f,
		real_t	lambda,
		real_t	mu,
		int	N,
		real_t	max_eig,
		hypre_ParVector *	u,
		hypre_ParVector *	r )

Definition at line 3389 of file hypre.cpp.

ParMult() [1/2]

HypreParMatrix * mfem::ParMult	(	const HypreParMatrix *	A,
		const HypreParMatrix *	B,
		bool	own_matrix = false )

Returns the matrix A * B. Returned matrix does not necessarily own row or column starts unless the bool own_matrix is set to true.

Definition at line 2949 of file hypre.cpp.

ParMult() [2/2]

PetscParMatrix * mfem::ParMult	(	const PetscParMatrix *	A,
		const PetscParMatrix *	B )

Returns the matrix A * B.

Definition at line 2222 of file petsc.cpp.

ParNormlp()

real_t mfem::ParNormlp	(	const Vector &	vec,
		real_t	p,
		MPI_Comm	comm )

Compute the l_p norm of the Vector which is split without overlap across the given communicator.

Definition at line 450 of file hypre.cpp.

parseArray()

void mfem::parseArray	(	char *	str,
		Array< int > &	var )

Definition at line 117 of file optparser.cpp.

parseVector()

void mfem::parseVector	(	char *	str,
		Vector &	var )

Definition at line 128 of file optparser.cpp.

PCG()

void mfem::PCG	(	const Operator &	A,
		Solver &	B,
		const Vector &	b,
		Vector &	x,
		int	print_iter,
		int	max_num_iter,
		real_t	RTOLERANCE,
		real_t	ATOLERANCE )

Preconditioned conjugate gradient method. (tolerances are squared)

Definition at line 913 of file solvers.cpp.

PermuteFaceL2()

int mfem::PermuteFaceL2	(	const int	dim,
		const int	face_id1,
		const int	face_id2,
		const int	orientation,
		const int	size1d,
		const int	index )

Compute the dof face index of elem2 corresponding to the given dof face index.

Parameters

[in]	dim	The dimension of the element, 2 for quad, 3 for hex
[in]	face_id1	The local face identifier of elem1
[in]	face_id2	The local face identifier of elem2
[in]	orientation	The orientation of elem2 relative to elem1 on the face
[in]	size1d	The 1D number of degrees of freedom for each dimension
[in]	index	The dof index on elem1

Returns

The dof index on elem2 facing the dof on elem1

Definition at line 910 of file restriction.cpp.

PrismFaceBottom()

bool mfem::PrismFaceBottom ( int node, int * n )

inline

Definition at line 705 of file ncmesh.cpp.

PrismFaceTop()

bool mfem::PrismFaceTop ( int node, int * n )

inline

Definition at line 708 of file ncmesh.cpp.

ProjectLORCoefficient()

template<typename INTEGRATOR >

void mfem::ProjectLORCoefficient	(	BilinearForm &	a,
		CoefficientVector &	coeff_vector )

Definition at line 150 of file lor_batched.hpp.

RajaCuWrap1D()

template<const int BLOCKS = MFEM_CUDA_BLOCKS, typename DBODY >

void mfem::RajaCuWrap1D	(	const int	N,
		DBODY &&	d_body )

Definition at line 246 of file forall.hpp.

RajaCuWrap2D()

template<typename DBODY >

void mfem::RajaCuWrap2D	(	const int	N,
		DBODY &&	d_body,
		const int	X,
		const int	Y,
		const int	BZ )

Definition at line 253 of file forall.hpp.

RajaCuWrap3D()

template<typename DBODY >

void mfem::RajaCuWrap3D	(	const int	N,
		DBODY &&	d_body,
		const int	X,
		const int	Y,
		const int	Z,
		const int	G )

Definition at line 288 of file forall.hpp.

RajaHipWrap1D()

template<const int BLOCKS = MFEM_HIP_BLOCKS, typename DBODY >

void mfem::RajaHipWrap1D	(	const int	N,
		DBODY &&	d_body )

Definition at line 348 of file forall.hpp.

RajaHipWrap2D()

template<typename DBODY >

void mfem::RajaHipWrap2D	(	const int	N,
		DBODY &&	d_body,
		const int	X,
		const int	Y,
		const int	BZ )

Definition at line 355 of file forall.hpp.

RajaHipWrap3D()

template<typename DBODY >

void mfem::RajaHipWrap3D	(	const int	N,
		DBODY &&	d_body,
		const int	X,
		const int	Y,
		const int	Z,
		const int	G )

Definition at line 390 of file forall.hpp.

RajaOmpWrap()

template<typename HBODY >

void mfem::RajaOmpWrap	(	const int	N,
		HBODY &&	h_body )

RAJA OpenMP backend.

Definition at line 452 of file forall.hpp.

RajaSeqWrap()

template<typename HBODY >

void mfem::RajaSeqWrap	(	const int	N,
		HBODY &&	h_body )

RAJA sequential loop backend.

Definition at line 462 of file forall.hpp.

rand_real()

real_t mfem::rand_real ( )

inline

Generate a random real_t number in the interval [0,1) using rand().

Definition at line 59 of file vector.hpp.

RAP() [1/11]

void mfem::RAP	(	const DenseMatrix &	A,
		const DenseMatrix &	P,
		DenseMatrix &	RAP )

Computes matrix P^t * A * P. Note: The RAP matrix will be resized to accommodate the data

Definition at line 3464 of file densemat.cpp.

RAP() [2/11]

void mfem::RAP	(	const DenseMatrix &	Rt,
		const DenseMatrix &	A,
		const DenseMatrix &	P,
		DenseMatrix &	RAP )

Computes the matrix Rt^t * A * P. Note: The RAP matrix will be resized to accommodate the data

Definition at line 3472 of file densemat.cpp.

RAP() [3/11]

HypreParMatrix * mfem::RAP	(	const HypreParMatrix *	A,
		const HypreParMatrix *	P )

Returns the matrix P^t * A * P.

Definition at line 2975 of file hypre.cpp.

RAP() [4/11]

HypreParMatrix * mfem::RAP	(	const HypreParMatrix *	Rt,
		const HypreParMatrix *	A,
		const HypreParMatrix *	P )

Returns the matrix Rt^t * A * P.

Definition at line 3024 of file hypre.cpp.

RAP() [5/11]

SparseMatrix * mfem::RAP	(	const SparseMatrix &	A,
		const SparseMatrix &	R,
		SparseMatrix *	ORAP = NULL )

RAP matrix product (with P=R^T). ORAP is like OAB above. All matrices must be finalized.

Definition at line 4009 of file sparsemat.cpp.

RAP() [6/11]

DenseMatrix * mfem::RAP	(	const SparseMatrix &	A,
		DenseMatrix &	P )

RAP matrix product (with R=P^T)

Definition at line 3986 of file sparsemat.cpp.

RAP() [7/11]

SparseMatrix * mfem::RAP	(	const SparseMatrix &	Rt,
		const SparseMatrix &	A,
		const SparseMatrix &	P )

General RAP with given R^T, A and P.

Definition at line 4020 of file sparsemat.cpp.

RAP() [8/11]

DenseMatrix * mfem::RAP	(	DenseMatrix &	A,
		const SparseMatrix &	P )

RAP matrix product (with R=P^T)

Definition at line 3996 of file sparsemat.cpp.

RAP() [9/11]

PetscParMatrix * mfem::RAP	(	HypreParMatrix *	hA,
		PetscParMatrix *	P )

Returns the matrix P^t * A * P.

Definition at line 2208 of file petsc.cpp.

RAP() [10/11]

PetscParMatrix * mfem::RAP	(	PetscParMatrix *	A,
		PetscParMatrix *	P )

Returns the matrix P^t * A * P.

Definition at line 2202 of file petsc.cpp.

RAP() [11/11]

PetscParMatrix * mfem::RAP	(	PetscParMatrix *	Rt,
		PetscParMatrix *	A,
		PetscParMatrix *	P )

Returns the matrix Rt^t * A * P.

Definition at line 2105 of file petsc.cpp.

Read()

template<typename T >

const T * mfem::Read ( const Memory< T > & mem, int size, bool on_dev = true )

inline

Get a pointer for read access to mem with the mfem::Device's DeviceMemoryClass, if on_dev = true, or the mfem::Device's HostMemoryClass, otherwise.

Also, if on_dev = true, the device flag of mem will be set.

Definition at line 320 of file device.hpp.

ReadWrite()

template<typename T >

T * mfem::ReadWrite ( Memory< T > & mem, int size, bool on_dev = true )

inline

Get a pointer for read+write access to mem with the mfem::Device's DeviceMemoryClass, if on_dev = true, or the mfem::Device's HostMemoryClass, otherwise.

Also, if on_dev = true, the device flag of mem will be set.

Definition at line 354 of file device.hpp.

Reciprocal()

void mfem::Reciprocal

(

Vector &

x

)

Replace x[i] with 1.0/x[i] for all i.

Definition at line 20 of file hdiv_linear_solver.cpp.

RefinedToCoarse()

ElementTransformation * mfem::RefinedToCoarse	(	Mesh &	coarse_mesh,
		const ElementTransformation &	T,
		const IntegrationPoint &	ip,
		IntegrationPoint &	coarse_ip )

Definition at line 27 of file coefficient.cpp.

ReorderRanksZCurve()

MPI_Comm mfem::ReorderRanksZCurve

(

MPI_Comm

comm

)

Reorder MPI ranks to follow the Z-curve within the physical machine topology (provided that functions to query physical node coordinates are available). Returns a new communicator with reordered ranks.

Definition at line 1393 of file communication.cpp.

Reshape()

template<typename T , typename... Dims>

MFEM_HOST_DEVICE DeviceTensor< sizeof...(Dims), T > mfem::Reshape ( T * ptr, Dims... dims )

inline

Wrap a pointer as a DeviceTensor with automatically deduced template parameters.

Definition at line 131 of file dtensor.hpp.

Revolve3D()

NURBSPatch * mfem::Revolve3D	(	NURBSPatch &	patch,
		real_t	n[],
		real_t	ang,
		int	times )

Note

The returned object should be deleted by the caller.

Definition at line 1849 of file nurbs.cpp.

set_error_action()

void mfem::set_error_action

(

ErrorAction

action

)

Set the action MFEM takes when an error is encountered.

Definition at line 49 of file error.cpp.

SetGlobalMPI_Comm()

void mfem::SetGlobalMPI_Comm

(

MPI_Comm

comm

)

Set MFEM's "global" MPI communicator.

Definition at line 67 of file globals.cpp.

SetupLORQuadData2D()

template<int ORDER, int SDIM, bool RT, bool ND>

MFEM_HOST_DEVICE void mfem::SetupLORQuadData2D ( const real_t * X, int iel_ho, int kx, int ky, DeviceTensor< 3 > & Q, bool piola )

inline

Definition at line 162 of file lor_util.hpp.

sgemv_()

void mfem::sgemv_	(	char *	,
		int *	,
		int *	,
		float *	,
		float *	,
		int *	,
		float *	,
		int *	,
		float *	,
		float *	,
		int *	)

sgeqrf_()

void mfem::sgeqrf_	(	int *	,
		int *	,
		float *	,
		int *	,
		float *	,
		float *	,
		int *	,
		int *	)

ShiftRight()

void mfem::ShiftRight ( int & a, int & b, int & c )

inline

Definition at line 2919 of file mesh.hpp.

sigmoid()

real_t mfem::sigmoid

(

real_t

x

)

Sigmoid function.

Definition at line 20 of file ex37.hpp.

skip_comment_lines()

void mfem::skip_comment_lines ( std::istream & is, const char comment_char )

inline

Check if the stream starts with comment_char. If so skip it.

Definition at line 31 of file text.hpp.

SLI() [1/2]

void mfem::SLI	(	const Operator &	A,
		const Vector &	b,
		Vector &	x,
		int	print_iter,
		int	max_num_iter,
		real_t	RTOLERANCE,
		real_t	ATOLERANCE )

Stationary linear iteration. (tolerances are squared)

Definition at line 677 of file solvers.cpp.

SLI() [2/2]

void mfem::SLI	(	const Operator &	A,
		Solver &	B,
		const Vector &	b,
		Vector &	x,
		int	print_iter,
		int	max_num_iter,
		real_t	RTOLERANCE,
		real_t	ATOLERANCE )

Preconditioned stationary linear iteration. (tolerances are squared)

Definition at line 692 of file solvers.cpp.

sMult_AB()

template<bool Add, typename A_layout_t , typename A_data_t , typename B_layout_t , typename B_data_t , typename C_layout_t , typename C_data_t >

MFEM_ALWAYS_INLINE void mfem::sMult_AB ( const A_layout_t & A_layout, const A_data_t & A_data, const B_layout_t & B_layout, const B_data_t & B_data, const C_layout_t & C_layout, C_data_t & C_data )

inline

Definition at line 40 of file tmatrix.hpp.

sormqr_()

void mfem::sormqr_	(	char *	,
		char *	,
		int *	,
		int *	,
		int *	,
		float *	,
		int *	,
		float *	,
		float *	,
		int *	,
		float *	,
		int *	,
		int *	)

Sort3()

void mfem::Sort3 ( int & r, int & c, int & f )

inline

Definition at line 34 of file stable3d.cpp.

SortPairs()

template<class A , class B >

void mfem::SortPairs	(	Pair< A, B > *	pairs,
		int	size )

Sort an array of Pairs with respect to the first element.

Definition at line 50 of file sort_pairs.hpp.

SortTriple()

template<class A , class B , class C >

void mfem::SortTriple	(	Triple< A, B, C > *	triples,
		int	size )

Lexicographic sort for arrays of class Triple.

Definition at line 81 of file sort_pairs.hpp.

SparseMatrixFunction()

void mfem::SparseMatrixFunction	(	SparseMatrix &	S,
		real_t(*	f )(real_t) )

Applies f() to each element of the matrix (after it is finalized).

Definition at line 3596 of file sparsemat.cpp.

StealPointer()

template<typename T >

T * mfem::StealPointer

(

T *&

ptr

)

Definition at line 95 of file lor_ams.hpp.

strsm_()

void mfem::strsm_	(	char *	side,
		char *	uplo,
		char *	transa,
		char *	diag,
		int *	m,
		int *	n,
		float *	alpha,
		float *	a,
		int *	lda,
		float *	b,
		int *	ldb )

SubcellIntegrals()

void mfem::SubcellIntegrals	(	int	n,
		const Poly_1D::Basis &	basis,
		Array< real_t > &	B )

Definition at line 36 of file change_basis.cpp.

subtract() [1/2]

void mfem::subtract	(	const real_t	a,
		const Vector &	x,
		const Vector &	y,
		Vector &	z )

Definition at line 501 of file vector.cpp.

subtract() [2/2]

void mfem::subtract	(	const Vector &	x,
		const Vector &	y,
		Vector &	z )

Definition at line 472 of file vector.cpp.

Swap() [1/4]

template<class T >

void mfem::Swap ( Array2D< T > & a, Array2D< T > & b )

inline

Definition at line 971 of file array.hpp.

Swap() [2/4]

template<class T >

void mfem::Swap ( Array< T > & a, Array< T > & b )

inline

Definition at line 648 of file array.hpp.

Swap() [3/4]

void mfem::Swap	(	CoarseFineTransformations &	a,
		CoarseFineTransformations &	b )

Definition at line 4830 of file ncmesh.cpp.

Swap() [4/4]

template<class T >

void mfem::Swap ( T & a, T & b )

inline

inlines ///

Definition at line 640 of file array.hpp.

Swap< SparseMatrix >()

template<>

void mfem::Swap< SparseMatrix > ( SparseMatrix & a, SparseMatrix & b )

inline

Specialization of the template function Swap<> for class SparseMatrix.

Definition at line 936 of file sparsemat.hpp.

Swap< Table >()

template<>

void mfem::Swap< Table > ( Table & a, Table & b )

inline

Specialization of the template function Swap<> for class Table.

Definition at line 201 of file table.hpp.

Swap< Vector >()

template<>

void mfem::Swap< Vector > ( Vector & a, Vector & b )

inline

Specialization of the template function Swap<> for class Vector.

Definition at line 647 of file vector.hpp.

TAdjDet()

template<typename scalar_t , typename A_layout_t , typename A_data_t , typename B_layout_t , typename B_data_t >

scalar_t mfem::TAdjDet ( const A_layout_t & a, const A_data_t & A, const B_layout_t & b, B_data_t & B )

inline

Definition at line 649 of file tmatrix.hpp.

TAdjDetHD()

template<typename scalar_t , typename A_layout_t , typename A_data_t , typename B_layout_t , typename B_data_t >

MFEM_HOST_DEVICE scalar_t mfem::TAdjDetHD ( const A_layout_t & a, const A_data_t & A, const B_layout_t & b, B_data_t & B )

inline

Definition at line 664 of file tmatrix.hpp.

TAdjugate()

template<typename scalar_t , typename A_layout_t , typename A_data_t , typename B_layout_t , typename B_data_t >

void mfem::TAdjugate ( const A_layout_t & a, const A_data_t & A, const B_layout_t & b, B_data_t & B )

inline

Definition at line 620 of file tmatrix.hpp.

TAdjugateHD()

template<typename scalar_t , typename A_layout_t , typename A_data_t , typename B_layout_t , typename B_data_t >

MFEM_HOST_DEVICE void mfem::TAdjugateHD ( const A_layout_t & a, const A_data_t & A, const B_layout_t & b, B_data_t & B )

inline

Definition at line 635 of file tmatrix.hpp.

TAssign() [1/2]

template<AssignOp::Type Op, typename A_layout_t , typename A_data_t , typename B_layout_t , typename B_data_t >

void mfem::TAssign ( const A_layout_t & A_layout, A_data_t & A_data, const B_layout_t & B_layout, const B_data_t & B_data )

inline

Definition at line 277 of file ttensor.hpp.

TAssign() [2/2]

template<AssignOp::Type Op, typename A_layout_t , typename A_data_t , typename scalar_t >

void mfem::TAssign ( const A_layout_t & A_layout, A_data_t & A_data, const scalar_t value )

inline

Definition at line 252 of file ttensor.hpp.

TAssignHD()

template<AssignOp::Type Op, typename A_layout_t , typename A_data_t , typename scalar_t >

MFEM_HOST_DEVICE void mfem::TAssignHD ( const A_layout_t & A_layout, A_data_t & A_data, const scalar_t value )

inline

Definition at line 264 of file ttensor.hpp.

TDet() [1/2]

template<AssignOp::Type Op, typename A_layout_t , typename A_data_t , typename D_data_t >

void mfem::TDet ( const A_layout_t & a, const A_data_t & A, D_data_t & D )

inline

Definition at line 604 of file tmatrix.hpp.

TDet() [2/2]

template<typename scalar_t , typename layout_t , typename data_t >

scalar_t mfem::TDet ( const layout_t & a, const data_t & A )

inline

Definition at line 573 of file tmatrix.hpp.

TDetHD()

template<typename scalar_t , typename layout_t , typename data_t >

MFEM_HOST_DEVICE scalar_t mfem::TDetHD ( const layout_t & a, const data_t & A )

inline

Definition at line 588 of file tmatrix.hpp.

TensorAssemble() [1/2]

template<bool Add, typename A_layout_t , typename A_data_t , typename B_layout_t , typename B_data_t , typename C_layout_t , typename C_data_t >

MFEM_ALWAYS_INLINE void mfem::TensorAssemble ( const A_layout_t & A_layout, const A_data_t & A_data, const B_layout_t & B_layout, const B_data_t & B_data, const C_layout_t & C_layout, C_data_t & C_data )

inline

Definition at line 477 of file ttensor.hpp.

TensorAssemble() [2/2]

template<bool Add, typename A_layout_t , typename A_data_t , typename B_layout_t , typename B_data_t , typename C_layout_t , typename C_data_t , typename D_layout_t , typename D_data_t >

MFEM_ALWAYS_INLINE void mfem::TensorAssemble ( const A_layout_t & A_layout, const A_data_t & A_data, const B_layout_t & B_layout, const B_data_t & B_data, const C_layout_t & C_layout, const C_data_t & C_data, const D_layout_t & D_layout, D_data_t & D_data )

inline

Definition at line 552 of file ttensor.hpp.

TensorProduct()

template<AssignOp::Type Op, typename A_layout_t , typename A_data_t , typename B_layout_t , typename B_data_t , typename C_layout_t , typename C_data_t >

MFEM_ALWAYS_INLINE void mfem::TensorProduct ( const A_layout_t & a, const A_data_t & A, const B_layout_t & b, const B_data_t & B, const C_layout_t & c, C_data_t & C )

inline

Definition at line 643 of file ttensor.hpp.

TensorProductLegendre()

void mfem::TensorProductLegendre	(	int	dim,
		int	order,
		const Vector &	x_in,
		const Vector &	xmax,
		const Vector &	xmin,
		Vector &	poly,
		real_t	angle = 0.0,
		const Vector *	midpoint = NULL )

Defines the global tensor product polynomial space used by NewZZErorrEstimator.

See BoundingBox(...) for a description of angle and midpoint

Definition at line 4029 of file gridfunc.cpp.

tic()

void mfem::tic

(

)

Start the tic_toc timer.

Definition at line 452 of file tic_toc.cpp.

to_hex()

char mfem::to_hex ( unsigned char u )

inlineconstexpr

Definition at line 55 of file hash.cpp.

to_int()

int mfem::to_int ( const std::string & str )

inline

Convert a string to an int.

Definition at line 62 of file text.hpp.

to_padded_string()

std::string mfem::to_padded_string ( int i, int digits )

inline

Convert an integer to a 0-padded string with the given number of digits.

Definition at line 54 of file text.hpp.

toc()

double mfem::toc

(

)

End timing and return the time from tic() to toc() in seconds.

Definition at line 458 of file tic_toc.cpp.

ToLexOrdering()

int mfem::ToLexOrdering	(	const int	dim,
		const int	face_id,
		const int	size1d,
		const int	index )

Convert a dof face index from Native ordering to lexicographic ordering for quads and hexes.

Parameters

[in]	dim	The dimension of the element, 2 for quad, 3 for hex
[in]	face_id	The local face identifier
[in]	size1d	The 1D number of degrees of freedom for each dimension
[in]	index	The native index on the face

Returns

The lexicographic index on the face

Definition at line 2164 of file restriction.cpp.

TransformDual()

void mfem::TransformDual	(	const DofTransformation *	ran_dof_trans,
		const DofTransformation *	dom_dof_trans,
		DenseMatrix &	elmat )

Transform a matrix of dual DoFs entries from different finite element spaces as computed by a BilinearFormIntegrator before summing into a MixedBilinearForm object.

Definition at line 160 of file doftrans.cpp.

TransformPrimal()

void mfem::TransformPrimal	(	const DofTransformation *	ran_dof_trans,
		const DofTransformation *	dom_dof_trans,
		DenseMatrix &	elmat )

Transform a matrix of DoFs entries from different finite element spaces as computed by a DiscreteInterpolator before copying into a DiscreteLinearOperator.

Definition at line 145 of file doftrans.cpp.

TransformToReference()

void mfem::TransformToReference	(	ElementTransformation &	Trans,
		int	type,
		const Vector &	physical_p,
		const double &	w,
		IntegrationPoint &	ref_p )

Definition at line 167 of file cut.cpp.

Transpose() [1/6]

void mfem::Transpose	(	const Array< int > &	A,
		Table &	At,
		int	ncols_A_ = -1 )

Transpose an Array<int>.

The array A represents a table where each row i has exactly one connection to the column (TYPE II) index specified by A[i].

Note

The column (TYPE II) indices in each row of At will be sorted.

Definition at line 461 of file table.cpp.

Transpose() [2/6]

void mfem::Transpose	(	const Array< real_t > &	B,
		Array< real_t > &	Bt )

Definition at line 62 of file change_basis.cpp.

Transpose() [3/6]

BlockMatrix * mfem::Transpose

(

const BlockMatrix &

A

)

Transpose a BlockMatrix: result = A'.

Definition at line 667 of file blockmatrix.cpp.

Transpose() [4/6]

SparseMatrix * mfem::Transpose

(

const SparseMatrix &

A

)

Transpose of a sparse matrix. A must be finalized.

Definition at line 3607 of file sparsemat.cpp.

Transpose() [5/6]

Table * mfem::Transpose

(

const Table &

A

)

Definition at line 454 of file table.cpp.

Transpose() [6/6]

void mfem::Transpose	(	const Table &	A,
		Table &	At,
		int	ncols_A_ )

Transpose a Table.

Definition at line 414 of file table.cpp.

TransposeAbstractSparseMatrix()

SparseMatrix * mfem::TransposeAbstractSparseMatrix	(	const AbstractSparseMatrix &	A,
		int	useActualWidth )

Transpose of a sparse matrix. A does not need to be a CSR matrix.

Definition at line 3663 of file sparsemat.cpp.

TransposeMult()

SparseMatrix * mfem::TransposeMult	(	const SparseMatrix &	A,
		const SparseMatrix &	B )

C = A^T B.

Definition at line 3868 of file sparsemat.cpp.

TripleMatrixProduct()

PetscParMatrix * mfem::TripleMatrixProduct	(	PetscParMatrix *	R,
		PetscParMatrix *	A,
		PetscParMatrix *	P )

Returns the matrix R * A * P.

Definition at line 2090 of file petsc.cpp.

u()

real_t mfem::u

(

const Vector &

xvec

)

Definition at line 22 of file lor_mms.hpp.

u_vec()

void mfem::u_vec	(	const Vector &	xvec,
		Vector &	u )

Definition at line 50 of file lor_mms.hpp.

Update()

void mfem::Update ( Vector & x, int k, DenseMatrix & h, Vector & s, Array< Vector * > & v )

inline

Definition at line 959 of file solvers.cpp.

UsesTensorBasis()

bool mfem::UsesTensorBasis ( const FiniteElementSpace & fes )

inline

Return true if the mesh contains only one topology and the elements are tensor elements.

Definition at line 1345 of file fespace.hpp.

vis_tmop_metric_p()

void mfem::vis_tmop_metric_p	(	int	order,
		TMOP_QualityMetric &	qm,
		const TargetConstructor &	tc,
		ParMesh &	pmesh,
		char *	title,
		int	position )

Definition at line 893 of file tmop_tools.cpp.

vis_tmop_metric_s()

void mfem::vis_tmop_metric_s	(	int	order,
		TMOP_QualityMetric &	qm,
		const TargetConstructor &	tc,
		Mesh &	mesh,
		char *	title,
		int	position )

Definition at line 921 of file tmop_tools.cpp.

VTKByteOrder()

const char * mfem::VTKByteOrder

(

)

Determine the byte order and return either "BigEndian" or "LittleEndian".

Definition at line 602 of file vtk.cpp.

VTKTriangleDOFOffset()

int mfem::VTKTriangleDOFOffset	(	int	ref,
		int	i,
		int	j )

Definition at line 281 of file vtk.cpp.

WedgeToGmshPri()

int mfem::WedgeToGmshPri	(	int	idx_in[],
		int	ref )

Definition at line 216 of file gmsh.cpp.

Write()

template<typename T >

T * mfem::Write ( Memory< T > & mem, int size, bool on_dev = true )

inline

Get a pointer for write access to mem with the mfem::Device's DeviceMemoryClass, if on_dev = true, or the mfem::Device's HostMemoryClass, otherwise.

Also, if on_dev = true, the device flag of mem will be set.

Definition at line 337 of file device.hpp.

WriteBase64WithSizeAndClear()

void mfem::WriteBase64WithSizeAndClear	(	std::ostream &	os,
		std::vector< char > &	buf,
		int	compression_level )

Encode in base 64 (and potentially compress) the given data, write it to the output stream (with a header) and clear the buffer.

See also

WriteVTKEncodedCompressed.

Definition at line 654 of file vtk.cpp.

WriteBinaryOrASCII()

template<typename T >

void mfem::WriteBinaryOrASCII	(	std::ostream &	os,
		std::vector< char > &	buf,
		const T &	val,
		const char *	suffix,
		VTKFormat	format )

Write either ASCII data to the stream or binary data to the buffer depending on the given format.

If format is VTK::ASCII, write the canonical ASCII representation of val to the output stream. Subnormal floating point numbers are rounded to zero. Otherwise, append its raw binary data to the byte buffer buf.

Note that there are specializations for uint8_t (to write as a numeric value rather than a character), and for float and double values to use the precision specified by format.

Definition at line 147 of file vtk.hpp.

WriteBinaryOrASCII< double >() [1/2]

template<>

void mfem::WriteBinaryOrASCII< double >	(	std::ostream &	os,
		std::vector< char > &	buf,
		const double &	val,
		const char *	suffix,
		VTKFormat	format )

Specialization of WriteBinaryOrASCII for double.

If format is equal to VTKFormat::BINARY32, val is converted to a float and written as 32 bits. Subnormals are rounded to zero in ASCII output.

Definition at line 626 of file vtk.cpp.

WriteBinaryOrASCII< double >() [2/2]

template<>

void mfem::WriteBinaryOrASCII< double >	(	std::ostream &	os,
		std::vector< char > &	buf,
		const double &	val,
		const char *	suffix,
		VTKFormat	format )

Specialization of WriteBinaryOrASCII for double.

If format is equal to VTKFormat::BINARY32, val is converted to a float and written as 32 bits. Subnormals are rounded to zero in ASCII output.

Definition at line 626 of file vtk.cpp.

WriteBinaryOrASCII< float >() [1/2]

template<>

void mfem::WriteBinaryOrASCII< float >	(	std::ostream &	os,
		std::vector< char > &	buf,
		const float &	val,
		const char *	suffix,
		VTKFormat	format )

Specialization of WriteBinaryOrASCII<T> for float.

If format is equal to VTKFormat::BINARY, val is converted to a double and written as 64 bits. Subnormals are rounded to zero in ASCII output.

Definition at line 645 of file vtk.cpp.

WriteBinaryOrASCII< float >() [2/2]

template<>

void mfem::WriteBinaryOrASCII< float >	(	std::ostream &	os,
		std::vector< char > &	buf,
		const float &	val,
		const char *	suffix,
		VTKFormat	format )

Specialization of WriteBinaryOrASCII<T> for float.

If format is equal to VTKFormat::BINARY, val is converted to a double and written as 64 bits. Subnormals are rounded to zero in ASCII output.

Definition at line 645 of file vtk.cpp.

WriteBinaryOrASCII< uint8_t >() [1/2]

template<>

void mfem::WriteBinaryOrASCII< uint8_t >	(	std::ostream &	os,
		std::vector< char > &	buf,
		const uint8_t &	val,
		const char *	suffix,
		VTKFormat	format )

Specialization of WriteBinaryOrASCII for uint8_t to ensure ASCII output is numeric (rather than interpreting val as a character.)

Definition at line 617 of file vtk.cpp.

WriteBinaryOrASCII< uint8_t >() [2/2]

template<>

void mfem::WriteBinaryOrASCII< uint8_t >	(	std::ostream &	os,
		std::vector< char > &	buf,
		const uint8_t &	val,
		const char *	suffix,
		VTKFormat	format )

Specialization of WriteBinaryOrASCII for uint8_t to ensure ASCII output is numeric (rather than interpreting val as a character.)

Definition at line 617 of file vtk.cpp.

WriteVTKEncodedCompressed()

void mfem::WriteVTKEncodedCompressed	(	std::ostream &	os,
		const void *	bytes,
		uint32_t	nbytes,
		int	compression_level )

Outputs encoded binary data in the base 64 format needed by VTK.

The binary data will be base 64 encoded, and compressed if compression_level is not zero. The proper header will be prepended to the data.

Definition at line 559 of file vtk.cpp.

XYZ_VectorFunction()

void mfem::XYZ_VectorFunction	(	const Vector &	p,
		Vector &	v )

Definition at line 6116 of file mesh.cpp.

ZeroSubnormal()

template<typename T >

T mfem::ZeroSubnormal ( T val )

inline

Definition at line 502 of file vector.hpp.

ZZErrorEstimator()

real_t mfem::ZZErrorEstimator	(	BilinearFormIntegrator &	blfi,
		GridFunction &	u,
		GridFunction &	flux,
		Vector &	error_estimates,
		Array< int > *	aniso_flags,
		int	with_subdomains,
		bool	with_coeff )

Definition at line 3930 of file gridfunc.cpp.

Variable Documentation

DeviceMemoryType

int mfem::DeviceMemoryType = static_cast<int>(MemoryType::MANAGED)

constexpr

Definition at line 70 of file mem_manager.hpp.

DeviceMemoryTypeSize

int mfem::DeviceMemoryTypeSize = MemoryTypeSize - DeviceMemoryType

constexpr

Definition at line 71 of file mem_manager.hpp.

err

MFEM_EXPORT OutStream mfem::err

(

std::cerr

)

Global stream used by the library for standard error output. Initially it uses the same std::streambuf as std::cerr, however that can be changed.

See also

OutStream.

Definition at line 71 of file globals.hpp.

Geometries

MFEM_EXPORT Geometry mfem::Geometries

Definition at line 49 of file fe.cpp.

GlobGeometryRefiner

MFEM_EXPORT GeometryRefiner mfem::GlobGeometryRefiner

Definition at line 1891 of file geom.cpp.

HASH_ALGORITHM

gnutls_digest_algorithm_t mfem::HASH_ALGORITHM = GNUTLS_DIG_SHA256

constexpr

Definition at line 26 of file hash.cpp.

HexahedronFE

MFEM_EXPORT class TriLinear3DFiniteElement mfem::HexahedronFE

Definition at line 60 of file hexahedron.cpp.

HostMemoryType

int mfem::HostMemoryType = static_cast<int>(MemoryType::HOST)

constexpr

Definition at line 68 of file mem_manager.hpp.

HostMemoryTypeSize

int mfem::HostMemoryTypeSize = static_cast<int>(MemoryType::DEVICE)

constexpr

Definition at line 69 of file mem_manager.hpp.

IntRules

MFEM_EXPORT IntegrationRules mfem::IntRules	(	0	,
		Quadrature1D::GaussLegendre	)

A global object with all integration rules (defined in intrules.cpp)

Definition at line 486 of file intrules.hpp.

MemoryTypeName

MFEM_EXPORT const char * mfem::MemoryTypeName

Initial value:

=
{
   "host-std", "host-32", "host-64", "host-debug", "host-umpire", "host-pinned",
#if defined(MFEM_USE_CUDA)
   "cuda-uvm",
   "cuda",
#elif defined(MFEM_USE_HIP)
   "hip-uvm",
   "hip",
#else
   "managed",
   "device",
#endif
   "device-debug",
#if defined(MFEM_USE_CUDA)
   "cuda-umpire",
   "cuda-umpire-2",
#elif defined(MFEM_USE_HIP)
   "hip-umpire",
   "hip-umpire-2",
#else
   "device-umpire",
   "device-umpire-2",
#endif
}

Memory type names, used during Device:: configuration.

Definition at line 1753 of file mem_manager.cpp.

MemoryTypeSize

int mfem::MemoryTypeSize = static_cast<int>(MemoryType::SIZE)

constexpr

Static casts to 'int' and sizes of some useful memory types.

Definition at line 67 of file mem_manager.hpp.

MFEM_COMM_WORLD

MPI_Comm mfem::MFEM_COMM_WORLD = MPI_COMM_WORLD

Definition at line 60 of file globals.cpp.

mm

MFEM_EXPORT MemoryManager mfem::mm

The (single) global memory manager object.

Definition at line 1723 of file mem_manager.cpp.

out

MFEM_EXPORT OutStream mfem::out

(

std::cout

)

Global stream used by the library for standard output. Initially it uses the same std::streambuf as std::cout, however that can be changed.

See also

OutStream.

Definition at line 66 of file globals.hpp.

PointFE

MFEM_EXPORT PointFiniteElement mfem::PointFE

Definition at line 42 of file point.cpp.

poly1d

MFEM_EXPORT Poly_1D mfem::poly1d

Definition at line 28 of file fe.cpp.

PyramidFE

LinearPyramidFiniteElement mfem::PyramidFE

Definition at line 44 of file fe.cpp.

QuadrilateralFE

MFEM_EXPORT class BiLinear2DFiniteElement mfem::QuadrilateralFE

Definition at line 56 of file quadrilateral.cpp.

RefinedIntRules

MFEM_EXPORT IntegrationRules mfem::RefinedIntRules	(	1	,
		Quadrature1D::GaussLegendre	)

A global object with all refined integration rules.

Definition at line 489 of file intrules.hpp.

SegmentFE

MFEM_EXPORT Linear1DFiniteElement mfem::SegmentFE

Definition at line 52 of file segment.cpp.

TetrahedronFE

Linear3DFiniteElement mfem::TetrahedronFE

Definition at line 36 of file fe.cpp.

tic_toc

MFEM_EXPORT StopWatch mfem::tic_toc

Definition at line 450 of file tic_toc.cpp.

TriangleFE

Linear2DFiniteElement mfem::TriangleFE

Definition at line 32 of file fe.cpp.

vishost

const char mfem::vishost[] = "localhost"

Definition at line 21 of file extrapolator.cpp.

visport

const int mfem::visport = 19916

Definition at line 22 of file extrapolator.cpp.

WedgeFE

LinearWedgeFiniteElement mfem::WedgeFE

Definition at line 40 of file fe.cpp.

wsize

int mfem::wsize = 350

Definition at line 23 of file extrapolator.cpp.