MFEM  v4.5.0
Finite element discretization library
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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  AdvectionOper
 
class  AdvectorCG
 
class  AlgoimIntegrationRule
 
class  AM0Solver
 
class  AM1Solver
 
class  AM2Solver
 
class  AM3Solver
 
class  AM4Solver
 
class  AmgXSolver
 
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
 
struct  AssignOp
 
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  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  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  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  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  CentralDifferenceSolver
 
class  CGSolver
 Conjugate gradient method. More...
 
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  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  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  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 . grad 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 . grad 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 (curl u, 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...
 
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  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  DenseSymmetricMatrix
 
class  DenseTensor
 Rank 3 tensor (array of matrices) More...
 
class  DerivativeIntegrator
 Class for integrating (Q D_i(u), v); 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...
 
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  DGIndexer
 
class  DGMassInverse
 Solver for the discontinuous Galerkin mass matrix. More...
 
class  DGTraceIntegrator
 
class  DiffusionIntegrator
 
class  DiffusionObjIntegrator
 
class  DirectSubBlockSolver
 Block diagonal solver for A, each block is inverted by direct solver. More...
 
class  DiscreteAdaptTC
 
class  DiscreteInterpolator
 
class  DiscreteLinearOperator
 
class  DiscreteUpwindLOSolver
 
class  DistanceSolver
 
class  DivDivIntegrator
 (Q div u, div v) for RT 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 a the quadrature points of a given IntegrationRule. More...
 
class  DofTransformation
 
class  DomainLFGradIntegrator
 Class for domain integrator L(v) := (f, grad v) More...
 
class  DomainLFIntegrator
 Class for domain integration L(v) := (f, v) 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  ElasticityIntegrator
 
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  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  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  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  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  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 . grad 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  H1FaceRestriction
 Operator that extracts Face degrees of freedom for H1 FiniteElementSpaces. 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  HeatDistanceSolver
 
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...
 
struct  HipWrap
 
struct  HipWrap< 1 >
 
struct  HipWrap< 2 >
 
struct  HipWrap< 3 >
 
class  Hybridization
 
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  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 \( (u, v)_{L^2(\mathcal{T}_m \cap \mathcal{T}_s)}, u \in U(\mathcal{T}_m ) and v \in V(\mathcal{T}_s ) \). 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  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  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  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  MassIntegrator
 
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
 
class  MeshOperator
 The MeshOperator class serves as base for mesh manipulation classes. More...
 
class  MeshOperatorSequence
 
class  MesquiteMesh
 
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  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< int >
 
class  Multigrid
 Multigrid solver class. 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
 DoF transformation implementation for the Nedelec basis on triangles. More...
 
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  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  NormalizedGradCoefficient
 
class  NormalizedVectorCoefficient
 Vector coefficient defined as a normalized vector field (returns v/|v|) More...
 
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  NURBSPatch
 
class  NURBSPatchMap
 
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  ParComplexGridFunction
 
class  ParComplexLinearForm
 
class  ParDiscreteLinearOperator
 
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  PDEFilter
 
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  PLapDistanceSolver
 
class  pLaplace
 
class  pLaplaceAD
 
class  pLaplaceSL
 
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  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  PProductCoefficient
 
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  PUMPLaplacian
 
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  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  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  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  ScreenedPoisson
 
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  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  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  SparseMatrix
 Data type sparse matrix. More...
 
class  SparseSmoother
 
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  StaticCondensation
 
class  StopWatch
 Timing object. More...
 
struct  StridedLayout1D
 
struct  StridedLayout2D
 
struct  StridedLayout3D
 
struct  StridedLayout4D
 
class  STRUMPACKRowLocMatrix
 
class  STRUMPACKSolver
 
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  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  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
 Abstract class used to define combination of metrics with constant coefficients. 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
 2D barrier shape (S) metric (polyconvex). More...
 
class  TMOP_Metric_004
 2D non-barrier shape (S) metric. More...
 
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
 2D barrier (not a shape) metric (polyconvex). More...
 
class  TMOP_Metric_055
 2D non-barrier size (V) metric (not polyconvex). More...
 
class  TMOP_Metric_056
 2D barrier size (V) metric (polyconvex). More...
 
class  TMOP_Metric_058
 2D barrier shape (S) metric (not polyconvex). More...
 
class  TMOP_Metric_066
 2D non-barrier Shape+Size (VS) metric. More...
 
class  TMOP_Metric_077
 2D barrier size (V) metric (polyconvex). More...
 
class  TMOP_Metric_080
 2D barrier Shape+Size (VS) metric (polyconvex). More...
 
class  TMOP_Metric_085
 2D barrier Shape+Orientation (OS) metric (polyconvex). 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 non-barrier metric without a type. More...
 
class  TMOP_Metric_316
 3D barrier metric without a type. 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 barrier Shape+Size (VS) metric (polyconvex). More...
 
class  TMOP_Metric_332
 3D 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_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  TraceJumpIntegrator
 
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...
 
struct  VarMessage
 Variable-length MPI message containing unspecific binary data. More...
 
class  VDofTransformation
 
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
 \( (Q, curl v)_{\Omega} \) for Nedelec Elements) More...
 
class  VectorFEDomainLFDivIntegrator
 \( (Q, div v)_{\Omega} \) 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. \( (u, v)_{L^2(\mathcal{T}_m \cap \mathcal{T}_s)}, u \in U(\mathcal{T}_m ) and v \in V(\mathcal{T}_s ) \). 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...
 
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

using cuda_launch_policy = RAJA::expt::LaunchPolicy< RAJA::expt::null_launch_t, RAJA::expt::cuda_launch_t< true > >
 RAJA Cuda and Hip backends. More...
 
using cuda_teams_x = RAJA::expt::LoopPolicy< RAJA::loop_exec, RAJA::cuda_block_x_direct >
 
using cuda_threads_z = RAJA::expt::LoopPolicy< RAJA::loop_exec, RAJA::cuda_thread_z_direct >
 
using hip_launch_policy = RAJA::expt::LaunchPolicy< RAJA::expt::null_launch_t, RAJA::expt::hip_launch_t< true > >
 
using hip_teams_x = RAJA::expt::LoopPolicy< RAJA::loop_exec, RAJA::hip_block_x_direct >
 
using hip_threads_z = RAJA::expt::LoopPolicy< RAJA::loop_exec, RAJA::hip_thread_z_direct >
 
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, double > DeviceVector
 
typedef DeviceTensor< 1, const double > ConstDeviceVector
 
typedef DeviceTensor< 2, double > DeviceMatrix
 
typedef DeviceTensor< 2, const double > ConstDeviceMatrix
 
typedef DeviceTensor< 3, double > DeviceCube
 
typedef DeviceTensor< 3, const double > ConstDeviceCube
 
typedef OperatorHandle OperatorPtr
 Add an alternative name for OperatorHandle – OperatorPtr. More...
 
using NonconservativeConvectionIntegrator = ConvectionIntegrator
 
using ConservativeDGTraceIntegrator = DGTraceIntegrator
 
typedef VectorCoefficient DiagonalMatrixCoefficient
 
typedef L2_FECollection DG_FECollection
 Declare an alternative name for L2_FECollection = DG_FECollection. More...
 
typedef MatrixVectorProductCoefficient MatVecCoefficient
 Convenient alias for the MatrixVectorProductCoefficient. More...
 

Enumerations

enum  ErrorAction { MFEM_ERROR_ABORT = 0, MFEM_ERROR_THROW }
 Action to take when MFEM encounters an error. More...
 
enum  MemoryType {
  MemoryType::HOST, MemoryType::HOST_32, MemoryType::HOST_64, MemoryType::HOST_DEBUG,
  MemoryType::HOST_UMPIRE, MemoryType::HOST_PINNED, MemoryType::MANAGED, MemoryType::DEVICE,
  MemoryType::DEVICE_DEBUG, MemoryType::DEVICE_UMPIRE, MemoryType::DEVICE_UMPIRE_2, MemoryType::SIZE,
  MemoryType::PRESERVE, MemoryType::DEFAULT
}
 Memory types supported by MFEM. More...
 
enum  MemoryClass {
  MemoryClass::HOST, MemoryClass::HOST_32, MemoryClass::HOST_64, MemoryClass::DEVICE,
  MemoryClass::MANAGED
}
 Memory classes identify sets of memory types. More...
 
enum  BlockInverseScaleJob { BlockInverseScaleJob::MATRIX_ONLY, BlockInverseScaleJob::RHS_ONLY, BlockInverseScaleJob::MATRIX_AND_RHS }
 
enum  FaceType : bool { FaceType::Interior, FaceType::Boundary }
 
enum  VTKFormat { VTKFormat::ASCII, VTKFormat::BINARY, VTKFormat::BINARY32 }
 Data array format for VTK and VTU files. More...
 
enum  AssemblyLevel {
  AssemblyLevel::LEGACY = 0, AssemblyLevel::LEGACYFULL = 0, AssemblyLevel::FULL, AssemblyLevel::ELEMENT,
  AssemblyLevel::PARTIAL, AssemblyLevel::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  CoefficientStorage : int { CoefficientStorage::FULL = 0, CoefficientStorage::CONSTANTS = 1 << 0, CoefficientStorage::SYMMETRIC = 1 << 1, CoefficientStorage::COMPRESSED = CONSTANTS | SYMMETRIC }
 Flags that determine what storage optimizations to use in CoefficientVector. More...
 
enum  QVectorLayout { QVectorLayout::byNODES, QVectorLayout::byVDIM }
 Type describing possible layouts for Q-vectors. More...
 
enum  ElementDofOrdering { ElementDofOrdering::NATIVE, ElementDofOrdering::LEXICOGRAPHIC }
 Constants describing the possible orderings of the DOFs in one element. More...
 
enum  L2FaceValues : bool { L2FaceValues::SingleValued, L2FaceValues::DoubleValued }
 

Functions

template<class T >
void Swap (Array< T > &, Array< T > &)
 
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 (T &a)
 Utility function similar to std::as_const in c++17. More...
 
template<class T >
void Swap (Array2D< T > &, Array2D< T > &)
 
template<class T >
void Swap (T &a, T &b)
 inlines /// More...
 
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. More...
 
void * CuMallocManaged (void **d_ptr, size_t bytes)
 Allocates managed device memory. More...
 
void * CuMemAllocHostPinned (void **ptr, size_t bytes)
 Allocates page-locked (pinned) host memory. More...
 
void * CuMemFree (void *d_ptr)
 Frees device memory and returns destination ptr. More...
 
void * CuMemFreeHostPinned (void *ptr)
 Frees page-locked (pinned) host memory and returns destination ptr. More...
 
void * CuMemcpyHtoD (void *d_dst, const void *h_src, size_t bytes)
 Copies memory from Host to Device and returns destination ptr. More...
 
void * CuMemcpyHtoDAsync (void *d_dst, const void *h_src, size_t bytes)
 Copies memory from Host to Device and returns destination ptr. More...
 
void * CuMemcpyDtoD (void *d_dst, const void *d_src, size_t bytes)
 Copies memory from Device to Device. More...
 
void * CuMemcpyDtoDAsync (void *d_dst, const void *d_src, size_t bytes)
 Copies memory from Device to Device. More...
 
void * CuMemcpyDtoH (void *h_dst, const void *d_src, size_t bytes)
 Copies memory from Device to Host. More...
 
void * CuMemcpyDtoHAsync (void *h_dst, const void *d_src, size_t bytes)
 Copies memory from Device to Host. More...
 
void CuCheckLastError ()
 Check the error code returned by cudaGetLastError(), aborting on error. More...
 
int CuGetDeviceCount ()
 Get the number of CUDA devices. More...
 
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. More...
 
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. More...
 
template<typename T >
const T * HostRead (const Memory< T > &mem, int size)
 Shortcut to Read(const Memory<T> &mem, int size, false) More...
 
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. More...
 
template<typename T >
T * HostWrite (Memory< T > &mem, int size)
 Shortcut to Write(const Memory<T> &mem, int size, false) More...
 
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. More...
 
template<typename T >
T * HostReadWrite (Memory< T > &mem, int size)
 Shortcut to ReadWrite(Memory<T> &mem, int size, false) More...
 
void set_error_action (ErrorAction action)
 Set the action MFEM takes when an error is encountered. More...
 
ErrorAction get_error_action ()
 Get the action MFEM takes when an error is encountered. More...
 
void mfem_backtrace (int mode, int depth)
 
void mfem_error (const char *msg=NULL)
 Function called when an error is encountered. Used by the macros MFEM_ABORT, MFEM_ASSERT, MFEM_VERIFY. More...
 
void mfem_warning (const char *msg=NULL)
 Function called by the macro MFEM_WARNING. More...
 
template<typename HBODY >
void OmpWrap (const int N, HBODY &&h_body)
 OpenMP backend. More...
 
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. More...
 
template<typename HBODY >
void RajaSeqWrap (const int N, HBODY &&h_body)
 RAJA sequential loop backend. More...
 
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 DBODY , typename HBODY >
void ForallWrap (const bool use_dev, const int N, DBODY &&d_body, HBODY &&h_body, const int X=0, const int Y=0, const int Z=0, const int G=0)
 The forall kernel body wrapper. More...
 
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. More...
 
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. More...
 
void * HipMallocManaged (void **d_ptr, size_t bytes)
 Allocates managed device memory. More...
 
void * HipMemAllocHostPinned (void **ptr, size_t bytes)
 Allocates page-locked (pinned) host memory. More...
 
void * HipMemFree (void *d_ptr)
 Frees device memory. More...
 
void * HipMemFreeHostPinned (void *ptr)
 Frees page-locked (pinned) host memory and returns destination ptr. More...
 
void * HipMemcpyHtoD (void *d_dst, const void *h_src, size_t bytes)
 Copies memory from Host to Device. More...
 
void * HipMemcpyHtoDAsync (void *d_dst, const void *h_src, size_t bytes)
 Copies memory from Host to Device. More...
 
void * HipMemcpyDtoD (void *d_dst, const void *d_src, size_t bytes)
 Copies memory from Device to Device. More...
 
void * HipMemcpyDtoDAsync (void *d_dst, const void *d_src, size_t bytes)
 Copies memory from Device to Device. More...
 
void * HipMemcpyDtoH (void *h_dst, const void *d_src, size_t bytes)
 Copies memory from Device to Host. More...
 
void * HipMemcpyDtoHAsync (void *h_dst, const void *d_src, size_t bytes)
 Copies memory from Device to Host. More...
 
void HipCheckLastError ()
 Check the error code returned by hipGetLastError(), aborting on error. More...
 
int HipGetDeviceCount ()
 Get the number of HIP devices. More...
 
MemoryType GetMemoryType (MemoryClass mc)
 Return a suitable MemoryType for a given MemoryClass. More...
 
bool MemoryClassContainsType (MemoryClass mc, MemoryType mt)
 Return true iff the MemoryType mt is contained in the MemoryClass mc. More...
 
MemoryClass operator* (MemoryClass mc1, MemoryClass mc2)
 Return a suitable MemoryClass from a pair of MemoryClasses. More...
 
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(). More...
 
bool IsHostMemory (MemoryType mt)
 Return true if the given memory type is in MemoryClass::HOST. More...
 
bool IsDeviceMemory (MemoryType mt)
 Return true if the given memory type is in MemoryClass::DEVICE. More...
 
occa::device & OccaDev ()
 Return the default occa::device used by MFEM. More...
 
occa::memory OccaMemoryWrap (void *ptr, std::size_t bytes)
 Wrap a pointer as occa::memory with the default occa::device used by MFEM. More...
 
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. More...
 
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. More...
 
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. More...
 
bool DeviceCanUseOcca ()
 Function that determines if an OCCA kernel should be used, based on the current mfem::Device configuration. More...
 
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. More...
 
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. More...
 
template<class A , class B >
void SortPairs (Pair< A, B > *pairs, int size)
 Sort an array of Pairs with respect to the first element. More...
 
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. More...
 
template<class A , class B , class C >
void SortTriple (Triple< A, B, C > *triples, int size)
 Lexicographic sort for arrays of class Triple. More...
 
void Sort3 (int &r, int &c, int &f)
 
void Transpose (const Table &A, Table &At, int ncols_A_=-1)
 Transpose a Table. More...
 
TableTranspose (const Table &A)
 
void Transpose (const Array< int > &A, Table &At, int ncols_A_=-1)
 Transpose an Array<int> More...
 
void Mult (const Table &A, const Table &B, Table &C)
 C = A * B (as boolean matrices) More...
 
TableMult (const Table &A, const Table &B)
 
template<>
void Swap< Table > (Table &a, Table &b)
 Specialization of the template function Swap<> for class Table. More...
 
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. More...
 
void filter_dos (std::string &line)
 Check for, and remove, a trailing '\r' from and std::string. More...
 
std::string to_padded_string (int i, int digits)
 Convert an integer to a 0-padded string with the given number of digits. More...
 
int to_int (const std::string &str)
 Convert a string to an int. More...
 
void tic ()
 Start the tic_toc timer. More...
 
double toc ()
 End timing and return the time from tic() to toc() in seconds. More...
 
int GetVersion ()
 Return the MFEM version number as a single integer. More...
 
int GetVersionMajor ()
 Return the MFEM major version number as an integer. More...
 
int GetVersionMinor ()
 Return the MFEM minor version number as an integer. More...
 
int GetVersionPatch ()
 Return the MFEM version patch number as an integer. More...
 
const char * GetVersionStr ()
 Return the MFEM version number as a string. More...
 
const char * GetGitStr ()
 Return the MFEM Git hash as a string. More...
 
const char * GetConfigStr ()
 Return the MFEM configuration as a string. More...
 
BlockMatrixTranspose (const BlockMatrix &A)
 Transpose a BlockMatrix: result = A'. More...
 
BlockMatrixMult (const BlockMatrix &A, const BlockMatrix &B)
 Multiply BlockMatrix matrices: result = A*B. More...
 
ComplexDenseMatrixMult (const ComplexDenseMatrix &B, const ComplexDenseMatrix &C)
 Matrix matrix multiplication. A = B * C. More...
 
ComplexDenseMatrixMultAtB (const ComplexDenseMatrix &A, const ComplexDenseMatrix &B)
 Multiply the complex conjugate transpose of a matrix A with a matrix B. A^H*B. More...
 
int CanonicalNodeNumber (FiniteElementSpace &fespace, int node, bool parallel, int d=0)
 
SparseMatrixBuildNormalConstraints (FiniteElementSpace &fespace, Array< int > &constrained_att, Array< int > &constraint_rowstarts, bool parallel=false)
 Build a matrix constraining normal components to zero. More...
 
SparseMatrixParBuildNormalConstraints (ParFiniteElementSpace &fespace, Array< int > &constrained_att, Array< int > &constraint_rowstarts)
 Parallel wrapper for BuildNormalConstraints. More...
 
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, double alpha, DenseMatrix &C)
 C = A + alpha*B. More...
 
void Add (double alpha, const double *A, double beta, const double *B, DenseMatrix &C)
 C = alpha*A + beta*B. More...
 
void Add (double alpha, const DenseMatrix &A, double beta, const DenseMatrix &B, DenseMatrix &C)
 C = alpha*A + beta*B. More...
 
bool LinearSolve (DenseMatrix &A, double *X, double TOL=1.e-9)
 Solves the dense linear system, A * X = B for X More...
 
void Mult (const DenseMatrix &b, const DenseMatrix &c, DenseMatrix &a)
 Matrix matrix multiplication. A = B * C. More...
 
void AddMult_a (double alpha, const DenseMatrix &b, const DenseMatrix &c, DenseMatrix &a)
 Matrix matrix multiplication. A += alpha * B * C. More...
 
void AddMult (const DenseMatrix &b, const DenseMatrix &c, DenseMatrix &a)
 Matrix matrix multiplication. A += B * C. More...
 
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) More...
 
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) More...
 
void CalcOrtho (const DenseMatrix &J, Vector &n)
 
void MultAAt (const DenseMatrix &a, DenseMatrix &aat)
 Calculate the matrix A.At. More...
 
void AddMultADAt (const DenseMatrix &A, const Vector &D, DenseMatrix &ADAt)
 ADAt += A D A^t, where D is diagonal. More...
 
void MultADAt (const DenseMatrix &A, const Vector &D, DenseMatrix &ADAt)
 ADAt = A D A^t, where D is diagonal. More...
 
void MultABt (const DenseMatrix &A, const DenseMatrix &B, DenseMatrix &ABt)
 Multiply a matrix A with the transpose of a matrix B: A*Bt. More...
 
void MultADBt (const DenseMatrix &A, const Vector &D, const DenseMatrix &B, DenseMatrix &ADBt)
 ADBt = A D B^t, where D is diagonal. More...
 
void AddMultABt (const DenseMatrix &A, const DenseMatrix &B, DenseMatrix &ABt)
 ABt += A * B^t. More...
 
void AddMultADBt (const DenseMatrix &A, const Vector &D, const DenseMatrix &B, DenseMatrix &ADBt)
 ADBt = A D B^t, where D is diagonal. More...
 
void AddMult_a_ABt (double a, const DenseMatrix &A, const DenseMatrix &B, DenseMatrix &ABt)
 ABt += a * A * B^t. More...
 
void MultAtB (const DenseMatrix &A, const DenseMatrix &B, DenseMatrix &AtB)
 Multiply the transpose of a matrix A with a matrix B: At*B. More...
 
void AddMult_a_AAt (double a, const DenseMatrix &A, DenseMatrix &AAt)
 AAt += a * A * A^t. More...
 
void Mult_a_AAt (double a, const DenseMatrix &A, DenseMatrix &AAt)
 AAt = a * A * A^t. More...
 
void MultVVt (const Vector &v, DenseMatrix &vvt)
 Make a matrix from a vector V.Vt. More...
 
void MultVWt (const Vector &v, const Vector &w, DenseMatrix &VWt)
 
void AddMultVWt (const Vector &v, const Vector &w, DenseMatrix &VWt)
 VWt += v w^t. More...
 
void AddMultVVt (const Vector &v, DenseMatrix &VWt)
 VVt += v v^t. More...
 
void AddMult_a_VWt (const double a, const Vector &v, const Vector &w, DenseMatrix &VWt)
 VWt += a * v w^t. More...
 
void AddMult_a_VVt (const double a, const Vector &v, DenseMatrix &VVt)
 VVt += a * v v^t. More...
 
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 double TOL=0.0)
 Compute the LU factorization of a batch of matrices. More...
 
void BatchLUSolve (const DenseTensor &Mlu, const Array< int > &P, Vector &X)
 Solve batch linear systems. More...
 
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. More...
 
template<typename T >
bool CanShallowCopy (const Memory< T > &src, MemoryClass mc)
 Return true if the src Memory can be used with the MemoryClass mc. More...
 
double InnerProduct (HypreParVector *x, HypreParVector *y)
 
double InnerProduct (HypreParVector &x, HypreParVector &y)
 Returns the inner product of x and y. More...
 
double ParNormlp (const Vector &vec, double p, MPI_Comm comm)
 Compute the l_p norm of the Vector which is split without overlap across the given communicator. More...
 
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. More...
 
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. More...
 
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. More...
 
void BlockInverseScale (const HypreParMatrix *A, HypreParMatrix *C, const Vector *b, HypreParVector *d, int blocksize, BlockInverseScaleJob job)
 
HypreParMatrixAdd (double alpha, const HypreParMatrix &A, double 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. More...
 
HypreParMatrixParAdd (const HypreParMatrix *A, const HypreParMatrix *B)
 Returns the matrix A + B. More...
 
HypreParMatrixParMult (const HypreParMatrix *A, const HypreParMatrix *B, bool own_matrix)
 
HypreParMatrixRAP (const HypreParMatrix *A, const HypreParMatrix *P)
 Returns the matrix P^t * A * P. More...
 
HypreParMatrixRAP (const HypreParMatrix *Rt, const HypreParMatrix *A, const HypreParMatrix *P)
 Returns the matrix Rt^t * A * P. More...
 
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)
 
HypreParMatrixHypreParMatrixFromBlocks (Array2D< HypreParMatrix * > &blocks, Array2D< double > *blockCoeff=NULL)
 Returns a merged hypre matrix constructed from hypre matrix blocks. More...
 
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. More...
 
int ParCSRRelax_Taubin (hypre_ParCSRMatrix *A, hypre_ParVector *f, double lambda, double mu, int N, double max_eig, hypre_ParVector *u, hypre_ParVector *r)
 
int ParCSRRelax_FIR (hypre_ParCSRMatrix *A, hypre_ParVector *f, double max_eig, int poly_order, double *fir_coeffs, hypre_ParVector *u, hypre_ParVector *x0, hypre_ParVector *x1, hypre_ParVector *x2, hypre_ParVector *x3)
 
constexpr MemoryClass GetHypreMemoryClass ()
 The MemoryClass used by Hypre objects. More...
 
MemoryType GetHypreMemoryType ()
 The MemoryType used by MFEM when allocating arrays for Hypre objects. More...
 
HypreParMatrixDiscreteGrad (ParFiniteElementSpace *edge_fespace, ParFiniteElementSpace *vert_fespace)
 Compute the discrete gradient matrix between the nodal linear and ND1 spaces. More...
 
HypreParMatrixDiscreteCurl (ParFiniteElementSpace *face_fespace, ParFiniteElementSpace *edge_fespace)
 Compute the discrete curl matrix between the ND1 and RT0 spaces. More...
 
bool IsIdentityProlongation (const Operator *P)
 
void MFEMInitializePetsc ()
 Convenience functions to initialize/finalize PETSc. More...
 
void MFEMInitializePetsc (int *argc, char ***argv)
 
void MFEMInitializePetsc (int *argc, char ***argv, const char rc_file[], const char help[])
 
void MFEMFinalizePetsc ()
 
PetscParMatrixTripleMatrixProduct (PetscParMatrix *R, PetscParMatrix *A, PetscParMatrix *P)
 Returns the matrix R * A * P. More...
 
PetscParMatrixRAP (PetscParMatrix *Rt, PetscParMatrix *A, PetscParMatrix *P)
 Returns the matrix Rt^t * A * P. More...
 
PetscParMatrixRAP (PetscParMatrix *A, PetscParMatrix *P)
 Returns the matrix P^t * A * P. More...
 
PetscParMatrixRAP (HypreParMatrix *A, PetscParMatrix *P)
 Returns the matrix P^t * A * P. More...
 
PetscParMatrixParMult (const PetscParMatrix *A, const PetscParMatrix *B)
 Returns the matrix A * B. More...
 
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. More...
 
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, double RTOLERANCE=1e-12, double ATOLERANCE=1e-24)
 Stationary linear iteration. (tolerances are squared) More...
 
void SLI (const Operator &A, Solver &B, const Vector &b, Vector &x, int print_iter=0, int max_num_iter=1000, double RTOLERANCE=1e-12, double ATOLERANCE=1e-24)
 Preconditioned stationary linear iteration. (tolerances are squared) More...
 
void CG (const Operator &A, const Vector &b, Vector &x, int print_iter=0, int max_num_iter=1000, double RTOLERANCE=1e-12, double ATOLERANCE=1e-24)
 Conjugate gradient method. (tolerances are squared) More...
 
void PCG (const Operator &A, Solver &B, const Vector &b, Vector &x, int print_iter=0, int max_num_iter=1000, double RTOLERANCE=1e-12, double ATOLERANCE=1e-24)
 Preconditioned conjugate gradient method. (tolerances are squared) More...
 
void GeneratePlaneRotation (double &dx, double &dy, double &cs, double &sn)
 
void ApplyPlaneRotation (double &dx, double &dy, double &cs, double &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, double &tol, double atol, int printit)
 GMRES method. (tolerances are squared) More...
 
void GMRES (const Operator &A, Solver &B, const Vector &b, Vector &x, int print_iter=0, int max_num_iter=1000, int m=50, double rtol=1e-12, double atol=1e-24)
 GMRES method. (tolerances are squared) More...
 
int BiCGSTAB (const Operator &A, Vector &x, const Vector &b, Solver &M, int &max_iter, double &tol, double atol, int printit)
 BiCGSTAB method. (tolerances are squared) More...
 
void BiCGSTAB (const Operator &A, Solver &B, const Vector &b, Vector &x, int print_iter=0, int max_num_iter=1000, double rtol=1e-12, double atol=1e-24)
 BiCGSTAB method. (tolerances are squared) More...
 
void MINRES (const Operator &A, const Vector &b, Vector &x, int print_it=0, int max_it=1000, double rtol=1e-12, double atol=1e-24)
 MINRES method without preconditioner. (tolerances are squared) More...
 
void MINRES (const Operator &A, Solver &B, const Vector &b, Vector &x, int print_it=0, int max_it=1000, double rtol=1e-12, double atol=1e-24)
 MINRES method with preconditioner. (tolerances are squared) More...
 
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, double cf, double &tol, double &atol, int printit)
 
void MinimumDiscardedFillOrdering (SparseMatrix &C, Array< int > &p)
 
void SparseMatrixFunction (SparseMatrix &S, double(*f)(double))
 Applies f() to each element of the matrix (after it is finalized). More...
 
SparseMatrixTranspose (const SparseMatrix &A)
 Transpose of a sparse matrix. A must be finalized. More...
 
SparseMatrixTransposeAbstractSparseMatrix (const AbstractSparseMatrix &A, int useActualWidth)
 Transpose of a sparse matrix. A does not need to be a CSR matrix. More...
 
SparseMatrixMult (const SparseMatrix &A, const SparseMatrix &B, SparseMatrix *OAB=NULL)
 Matrix product A.B. More...
 
SparseMatrixTransposeMult (const SparseMatrix &A, const SparseMatrix &B)
 C = A^T B. More...
 
SparseMatrixMultAbstractSparseMatrix (const AbstractSparseMatrix &A, const AbstractSparseMatrix &B)
 Matrix product of sparse matrices. A and B do not need to be CSR matrices. More...
 
DenseMatrixMult (const SparseMatrix &A, DenseMatrix &B)
 Matrix product A.B. More...
 
DenseMatrixRAP (const SparseMatrix &A, DenseMatrix &P)
 RAP matrix product (with R=P^T) More...
 
DenseMatrixRAP (DenseMatrix &A, const SparseMatrix &P)
 RAP matrix product (with R=P^T) More...
 
SparseMatrixRAP (const SparseMatrix &A, const SparseMatrix &R, SparseMatrix *ORAP)
 
SparseMatrixRAP (const SparseMatrix &Rt, const SparseMatrix &A, const SparseMatrix &P)
 General RAP with given R^T, A and P. More...
 
SparseMatrixMult_AtDA (const SparseMatrix &A, const Vector &D, SparseMatrix *OAtDA=NULL)
 Matrix multiplication A^t D A. All matrices must be finalized. More...
 
SparseMatrixAdd (double a, const SparseMatrix &A, double b, const SparseMatrix &B)
 Matrix addition result = a*A + b*B. More...
 
SparseMatrixAdd (const SparseMatrix &A, const SparseMatrix &B)
 Matrix addition result = A + B. More...
 
SparseMatrixAdd (Array< SparseMatrix * > &Ai)
 Matrix addition result = sum_i A_i. More...
 
void Add (const SparseMatrix &A, double alpha, DenseMatrix &B)
 B += alpha * A. More...
 
DenseMatrixOuterProduct (const DenseMatrix &A, const DenseMatrix &B)
 Produces a block matrix with blocks A_{ij}*B. More...
 
SparseMatrixOuterProduct (const DenseMatrix &A, const SparseMatrix &B)
 Produces a block matrix with blocks A_{ij}*B. More...
 
SparseMatrixOuterProduct (const SparseMatrix &A, const DenseMatrix &B)
 Produces a block matrix with blocks A_{ij}*B. More...
 
SparseMatrixOuterProduct (const SparseMatrix &A, const SparseMatrix &B)
 Produces a block matrix with blocks A_{ij}*B. More...
 
class if defined (__alignas_is_defined) alignas(double) RowNode
 
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. More...
 
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, double alpha, const Vector &v2, Vector &v)
 
void add (const double a, const Vector &x, const Vector &y, Vector &z)
 
void add (const double a, const Vector &x, const double b, const Vector &y, Vector &z)
 
void subtract (const Vector &x, const Vector &y, Vector &z)
 
void subtract (const double a, const Vector &x, const Vector &y, Vector &z)
 
int CheckFinite (const double *v, const int n)
 
double infinity ()
 Define a shortcut for std::numeric_limits<double>::infinity() More...
 
template<typename T >
ZeroSubnormal (T val)
 
bool IsFinite (const double &val)
 
template<>
void Swap< Vector > (Vector &a, Vector &b)
 Specialization of the template function Swap<> for class Vector. More...
 
double DistanceSquared (const double *x, const double *y, const int n)
 
double Distance (const double *x, const double *y, const int n)
 
double InnerProduct (const Vector &x, const Vector &y)
 Returns the inner product of x and y. More...
 
double InnerProduct (MPI_Comm comm, const Vector &x, const Vector &y)
 Returns the inner product of x and y in parallel. More...
 
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. More...
 
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, double &tmax, const double factor, const int Dim)
 
std::ostream & operator<< (std::ostream &os, const Mesh &mesh)
 
MeshExtrude1D (Mesh *mesh, const int ny, const double sy, const bool closed=false)
 Extrude a 1D mesh. More...
 
MeshExtrude2D (Mesh *mesh, const int nz, const double sz)
 Extrude a 2D mesh. More...
 
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)
 
NURBSPatchInterpolate (NURBSPatch &p1, NURBSPatch &p2)
 
NURBSPatchRevolve3D (NURBSPatch &patch, double n[], double 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)
 
int BarycentricToVTKTriangle (int *b, int ref)
 Return the VTK node index of the barycentric point b in a triangle with refinement level ref. More...
 
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. More...
 
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. More...
 
bool IsBigEndian ()
 
const char * VTKByteOrder ()
 Determine the byte order and return either "BigEndian" or "LittleEndian". More...
 
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.) More...
 
template<>
void WriteBinaryOrASCII< double > (std::ostream &os, std::vector< char > &buf, const double &val, const char *suffix, VTKFormat format)
 Specialization of WriteBinaryOrASCII for double. More...
 
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. More...
 
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. More...
 
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. More...
 
template<const int T_SDIM>
void PADiffusionSetup2D (const int Q1D, const int coeffDim, const int NE, const Array< double > &w, const Vector &j, const Vector &c, Vector &d)
 
template<>
void PADiffusionSetup2D< 2 > (const int Q1D, const int coeffDim, const int NE, const Array< double > &w, const Vector &j, const Vector &c, Vector &d)
 
template<>
void PADiffusionSetup2D< 3 > (const int Q1D, const int coeffDim, const int NE, const Array< double > &w, const Vector &j, const Vector &c, Vector &d)
 
void PADiffusionSetup3D (const int Q1D, const int coeffDim, const int NE, const Array< double > &w, const Vector &j, const Vector &c, Vector &d)
 
void PAHcurlHdivSetup3D (const int Q1D, const int coeffDim, const int NE, const bool transpose, const Array< double > &w_, const Vector &j, Vector &coeff_, Vector &op)
 
void PAHcurlMassApply2D (const int D1D, const int Q1D, const int NE, const bool symmetric, const Array< double > &bo, const Array< double > &bc, const Array< double > &bot, const Array< double > &bct, const Vector &pa_data, const Vector &x, Vector &y)
 
void PAHcurlMassAssembleDiagonal2D (const int D1D, const int Q1D, const int NE, const bool symmetric, const Array< double > &bo, const Array< double > &bc, const Vector &pa_data, Vector &diag)
 
void PAHcurlMassAssembleDiagonal3D (const int D1D, const int Q1D, const int NE, const bool symmetric, const Array< double > &bo, const Array< double > &bc, const Vector &pa_data, Vector &diag)
 
template<int T_D1D, int T_Q1D>
void SmemPAHcurlMassAssembleDiagonal3D (const int D1D, const int Q1D, const int NE, const bool symmetric, const Array< double > &bo, const Array< double > &bc, const Vector &pa_data, Vector &diag)
 
void PAHcurlMassApply3D (const int D1D, const int Q1D, const int NE, const bool symmetric, const Array< double > &bo, const Array< double > &bc, const Array< double > &bot, const Array< double > &bct, const Vector &pa_data, const Vector &x, Vector &y)
 
template<int T_D1D, int T_Q1D>
void SmemPAHcurlMassApply3D (const int D1D, const int Q1D, const int NE, const bool symmetric, const Array< double > &bo, const Array< double > &bc, const Array< double > &bot, const Array< double > &bct, const Vector &pa_data, const Vector &x, Vector &y)
 
void PAHcurlH1Apply3D (const int D1D, const int Q1D, const int NE, const Array< double > &bc, const Array< double > &gc, const Array< double > &bot, const Array< double > &bct, const Vector &pa_data, const Vector &x, Vector &y)
 
void PAHcurlH1ApplyTranspose3D (const int D1D, const int Q1D, const int NE, const Array< double > &bc, const Array< double > &bo, const Array< double > &bct, const Array< double > &gct, const Vector &pa_data, const Vector &x, Vector &y)
 
void PAHcurlH1Apply2D (const int D1D, const int Q1D, const int NE, const Array< double > &bc, const Array< double > &gc, const Array< double > &bot, const Array< double > &bct, const Vector &pa_data, const Vector &x, Vector &y)
 
void PAHcurlH1ApplyTranspose2D (const int D1D, const int Q1D, const int NE, const Array< double > &bc, const Array< double > &bo, const Array< double > &bct, const Array< double > &gct, const Vector &pa_data, const Vector &x, Vector &y)
 
void PAHcurlL2Setup (const int NQ, const int coeffDim, const int NE, const Array< double > &w, Vector &coeff, Vector &op)
 
template void SmemPAHcurlMassAssembleDiagonal3D< 0, 0 > (const int D1D, const int Q1D, const int NE, const bool symmetric, const Array< double > &bo, const Array< double > &bc, const Vector &pa_data, Vector &diag)
 
template void SmemPAHcurlMassAssembleDiagonal3D< 2, 3 > (const int D1D, const int Q1D, const int NE, const bool symmetric, const Array< double > &bo, const Array< double > &bc, const Vector &pa_data, Vector &diag)
 
template void SmemPAHcurlMassAssembleDiagonal3D< 3, 4 > (const int D1D, const int Q1D, const int NE, const bool symmetric, const Array< double > &bo, const Array< double > &bc, const Vector &pa_data, Vector &diag)
 
template void SmemPAHcurlMassAssembleDiagonal3D< 4, 5 > (const int D1D, const int Q1D, const int NE, const bool symmetric, const Array< double > &bo, const Array< double > &bc, const Vector &pa_data, Vector &diag)
 
template void SmemPAHcurlMassAssembleDiagonal3D< 5, 6 > (const int D1D, const int Q1D, const int NE, const bool symmetric, const Array< double > &bo, const Array< double > &bc, const Vector &pa_data, Vector &diag)
 
template void SmemPAHcurlMassApply3D< 0, 0 > (const int D1D, const int Q1D, const int NE, const bool symmetric, const Array< double > &bo, const Array< double > &bc, const Array< double > &bot, const Array< double > &bct, const Vector &pa_data, const Vector &x, Vector &y)
 
template void SmemPAHcurlMassApply3D< 2, 3 > (const int D1D, const int Q1D, const int NE, const bool symmetric, const Array< double > &bo, const Array< double > &bc, const Array< double > &bot, const Array< double > &bct, const Vector &pa_data, const Vector &x, Vector &y)
 
template void SmemPAHcurlMassApply3D< 3, 4 > (const int D1D, const int Q1D, const int NE, const bool symmetric, const Array< double > &bo, const Array< double > &bc, const Array< double > &bot, const Array< double > &bct, const Vector &pa_data, const Vector &x, Vector &y)
 
template void SmemPAHcurlMassApply3D< 4, 5 > (const int D1D, const int Q1D, const int NE, const bool symmetric, const Array< double > &bo, const Array< double > &bc, const Array< double > &bot, const Array< double > &bct, const Vector &pa_data, const Vector &x, Vector &y)
 
template void SmemPAHcurlMassApply3D< 5, 6 > (const int D1D, const int Q1D, const int NE, const bool symmetric, const Array< double > &bo, const Array< double > &bc, const Array< double > &bot, const Array< double > &bct, const Vector &pa_data, const Vector &x, Vector &y)
 
void PAHdivSetup2D (const int Q1D, const int coeffDim, const int NE, const Array< double > &w, const Vector &j, Vector &coeff_, Vector &op)
 
void PAHdivSetup3D (const int Q1D, const int coeffDim, const int NE, const Array< double > &w, const Vector &j, Vector &coeff_, Vector &op)
 
void PAHdivMassApply2D (const int D1D, const int Q1D, const int NE, const bool symmetric, const Array< double > &Bo_, const Array< double > &Bc_, const Array< double > &Bot_, const Array< double > &Bct_, const Vector &op_, const Vector &x_, Vector &y_)
 
template<int T_D1D = 0, int T_Q1D = 0>
void SmemPAHdivMassApply2D (const int NE, const bool symmetric, const Array< double > &Bo_, const Array< double > &Bc_, const Array< double > &Bot_, const Array< double > &Bct_, const Vector &op_, const Vector &x_, Vector &y_, const int d1d=0, const int q1d=0)
 
void PAHdivMassAssembleDiagonal2D (const int D1D, const int Q1D, const int NE, const bool symmetric, const Array< double > &Bo_, const Array< double > &Bc_, const Vector &op_, Vector &diag_)
 
void PAHdivMassAssembleDiagonal3D (const int D1D, const int Q1D, const int NE, const bool symmetric, const Array< double > &Bo_, const Array< double > &Bc_, const Vector &op_, Vector &diag_)
 
void PAHdivMassApply3D (const int D1D, const int Q1D, const int NE, const bool symmetric, const Array< double > &Bo_, const Array< double > &Bc_, const Array< double > &Bot_, const Array< double > &Bct_, const Vector &op_, const Vector &x_, Vector &y_)
 
template<int T_D1D = 0, int T_Q1D = 0>
void SmemPAHdivMassApply3D (const int NE, const bool symmetric, const Array< double > &Bo_, const Array< double > &Bc_, const Array< double > &Bot_, const Array< double > &Bct_, const Vector &op_, const Vector &x_, Vector &y_, const int d1d=0, const int q1d=0)
 
void PAHdivMassApply (const int dim, const int D1D, const int Q1D, const int NE, const bool symmetric, const Array< double > &Bo, const Array< double > &Bc, const Array< double > &Bot, const Array< double > &Bct, const Vector &op, const Vector &x, Vector &y)
 
void PAHcurlHdivSetup2D (const int Q1D, const int coeffDim, const int NE, const bool transpose, const Array< double > &w_, const Vector &j, Vector &coeff_, Vector &op)
 
void PAHcurlHdivMassApply3D (const int D1D, const int D1Dtest, const int Q1D, const int NE, const bool scalarCoeff, const bool trialHcurl, const bool transpose, const Array< double > &Bo_, const Array< double > &Bc_, const Array< double > &Bot_, const Array< double > &Bct_, const Vector &op_, const Vector &x_, Vector &y_)
 
void PAHcurlHdivMassApply2D (const int D1D, const int D1Dtest, const int Q1D, const int NE, const bool scalarCoeff, const bool trialHcurl, const bool transpose, const Array< double > &Bo_, const Array< double > &Bc_, const Array< double > &Bot_, const Array< double > &Bct_, const Vector &op_, const Vector &x_, Vector &y_)
 
ElementTransformationRefinedToCoarse (Mesh &coarse_mesh, const ElementTransformation &T, const IntegrationPoint &ip, IntegrationPoint &coarse_ip)
 
double LpNormLoop (double p, Coefficient &coeff, Mesh &mesh, const IntegrationRule *irs[])
 
double LpNormLoop (double p, VectorCoefficient &coeff, Mesh &mesh, const IntegrationRule *irs[])
 
double ComputeLpNorm (double p, Coefficient &coeff, Mesh &mesh, const IntegrationRule *irs[])
 Compute the Lp norm of a function f. \( \| f \|_{Lp} = ( \int_\Omega | f |^p d\Omega)^{1/p} \). More...
 
double ComputeLpNorm (double p, VectorCoefficient &coeff, Mesh &mesh, const IntegrationRule *irs[])
 Compute the Lp norm of a vector function f = {f_i}_i=1...N. \( \| f \|_{Lp} = ( \sum_i \| f_i \|_{Lp}^p )^{1/p} \). More...
 
double ComputeGlobalLpNorm (double p, Coefficient &coeff, ParMesh &pmesh, const IntegrationRule *irs[])
 Compute the global Lp norm of a function f. \( \| f \|_{Lp} = ( \int_\Omega | f |^p d\Omega)^{1/p} \). More...
 
double ComputeGlobalLpNorm (double p, VectorCoefficient &coeff, ParMesh &pmesh, const IntegrationRule *irs[])
 Compute the global Lp norm of a vector function f = {f_i}_i=1...N. \( \| f \|_{Lp} = ( \sum_i \| f_i \|_{Lp}^p )^{1/p} \). More...
 
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)
 
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. More...
 
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. More...
 
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)
 
void be_to_bfe (Geometry::Type geom, int o, const IntegrationPoint &ip, IntegrationPoint &fip)
 
std::ostream & operator<< (std::ostream &os, const GridFunction &sol)
 
double 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, double angle=0.0, const Vector *midpoint=NULL)
 Defines the global tensor product polynomial space used by NewZZErorrEstimator. More...
 
void BoundingBox (const Array< int > &face_patch, FiniteElementSpace *ufes, int order, Vector &xmin, Vector &xmax, double &angle, Vector &midpoint, int iface=-1)
 Defines the bounding box for the face patches used by NewZZErorrEstimator. More...
 
double LSZZErrorEstimator (BilinearFormIntegrator &blfi, GridFunction &u, Vector &error_estimates, bool subdomain_reconstruction=true, bool with_coeff=false, double tichonov_coeff=0.0)
 A ‘‘true’’ ZZ error estimator that uses face-based patches for flux reconstruction. More...
 
double ComputeElementLpDistance (double p, int i, GridFunction &gf1, GridFunction &gf2)
 Compute the Lp distance between two grid functions on the given element. More...
 
GridFunctionExtrude1DGridFunction (Mesh *mesh, Mesh *mesh2d, GridFunction *sol, const int ny)
 Extrude a scalar 1D GridFunction, after extruding the mesh with Extrude1D. More...
 
std::ostream & operator<< (std::ostream &out, const QuadratureFunction &qf)
 Overload operator<< for std::ostream and QuadratureFunction. More...
 
double GlobalLpNorm (const double p, double loc_norm, MPI_Comm comm)
 Compute a global Lp norm from the local Lp norms computed by each processor. More...
 
double L2ZZErrorEstimator (BilinearFormIntegrator &flux_integrator, const ParGridFunction &x, ParFiniteElementSpace &smooth_flux_fes, ParFiniteElementSpace &flux_fes, Vector &errors, int norm_p, double solver_tol, int solver_max_it)
 
void GetFaceDofs (const int dim, const int face_id, const int dof1d, Array< int > &face_map)
 Return the face map that extracts the degrees of freedom for the requested local face of a quad or hex, returned in Lexicographic order. More...
 
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. More...
 
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. More...
 
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. More...
 
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

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

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. More...

 
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. More...
 
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)
 
void TransformToReference (ElementTransformation &Trans, int type, const Vector &physical_p, const double &w, IntegrationPoint &ref_p)
 
std::shared_ptr< CutNewCut (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< HypreParMatrixconvert_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. More...
 
int FinalizeTransfer ()
 Finalize the par_moonolith library. More...
 
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. More...
 
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. More...
 
template<typename INTEGRATOR >
void ProjectLORCoefficient (BilinearForm &a, CoefficientVector &coeff_vector)
 
template<int ORDER>
MFEM_HOST_DEVICE void LORVertexCoordinates2D (const double *X, int iel_ho, int kx, int ky, double vx[4], double vy[4])
 
template<int ORDER>
MFEM_HOST_DEVICE void LORVertexCoordinates3D (const double *X, int iel_ho, int kx, int ky, int kz, double vx[8], double vy[8], double vz[8])
 
MFEM_HOST_DEVICE void Jacobian2D (const double x, const double y, const double vx[4], const double vy[4], DeviceMatrix &J)
 
MFEM_HOST_DEVICE void Jacobian3D (const double x, const double y, const double z, const double vx[8], const double vy[8], const double vz[8], DeviceMatrix &J)
 
MFEM_HOST_DEVICE void Adjugate3D (const DeviceMatrix &J, DeviceMatrix &A)
 
MFEM_HOST_DEVICE double Det2D (DeviceMatrix &J)
 
MFEM_HOST_DEVICE double Det3D (DeviceMatrix &J)
 
template<typename dtype >
void CalcAdjugate (const TAutoDiffDenseMatrix< dtype > &a, TAutoDiffDenseMatrix< dtype > &adja)
 
void DiffuseField (ParGridFunction &field, int smooth_steps)
 
double AvgElementSize (ParMesh &pmesh)
 
double u (const Vector &xvec)
 
double f (const Vector &xvec)
 
void u_vec (const Vector &xvec, Vector &u)
 
void f_vec (const Vector &xvec, Vector &f)
 
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. More...
 
void SetGlobalMPI_Comm (MPI_Comm comm)
 Set MFEM's "global" MPI communicator. More...
 
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. More...
 
void GmshHOTriangleMapping (int order, int *map)
 Generate Gmsh vertex mapping for a Triangle. More...
 
void GmshHOQuadrilateralMapping (int order, int *map)
 Generate Gmsh vertex mapping for a Quadrilateral. More...
 
void GmshHOTetrahedronMapping (int order, int *map)
 Generate Gmsh vertex mapping for a Tetrahedron. More...
 
void GmshHOHexahedronMapping (int order, int *map)
 Generate Gmsh vertex mapping for a Hexahedron. More...
 
void GmshHOWedgeMapping (int order, int *map)
 Generate Gmsh vertex mapping for a Wedge. More...
 
void GmshHOPyramidMapping (int order, int *map)
 Generate Gmsh vertex mapping for a Pyramid. More...
 

Variables

const int MAX_D1D = 10
 
const int MAX_Q1D = 10
 
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. More...
 
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. More...
 
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. More...
 
const char * MemoryTypeName [MemoryTypeSize]
 Memory type names, used during Device:: configuration. More...
 
constexpr int MemoryTypeSize = static_cast<int>(MemoryType::SIZE)
 Static casts to 'int' and sizes of some useful memory types. More...
 
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
 
class Linear3DFiniteElement TetrahedronFE
 
Linear2DFiniteElement TriangleFE
 
class LinearWedgeFiniteElement WedgeFE
 
constexpr int HCURL_MAX_D1D = 5
 
constexpr int HCURL_MAX_Q1D = 5
 
constexpr int HDIV_MAX_D1D = 5
 
constexpr int HDIV_MAX_Q1D = 6
 
Poly_1D poly1d
 
Geometry Geometries
 
GeometryRefiner GlobGeometryRefiner
 
IntegrationRules IntRules (0, Quadrature1D::GaussLegendre)
 A global object with all integration rules (defined in intrules.cpp) More...
 
IntegrationRules RefinedIntRules (1, Quadrature1D::GaussLegendre)
 A global object with all refined integration rules. More...
 
const char vishost [] = "localhost"
 
const int visport = 19916
 
int wsize = 350
 

Typedef Documentation

◆ ConservativeDGTraceIntegrator

Definition at line 3037 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 double> mfem::ConstDeviceCube

Definition at line 147 of file dtensor.hpp.

◆ ConstDeviceMatrix

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

Definition at line 144 of file dtensor.hpp.

◆ ConstDeviceVector

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

Definition at line 141 of file dtensor.hpp.

◆ cuda_launch_policy

using mfem::cuda_launch_policy = typedef RAJA::expt::LaunchPolicy<RAJA::expt::null_launch_t, RAJA::expt::cuda_launch_t<true> >

RAJA Cuda and Hip backends.

Definition at line 119 of file forall.hpp.

◆ cuda_teams_x

using mfem::cuda_teams_x = typedef RAJA::expt::LoopPolicy<RAJA::loop_exec,RAJA::cuda_block_x_direct>

Definition at line 121 of file forall.hpp.

◆ cuda_threads_z

using mfem::cuda_threads_z = typedef RAJA::expt::LoopPolicy<RAJA::loop_exec,RAJA::cuda_thread_z_direct>

Definition at line 123 of file forall.hpp.

◆ DeviceArray

Definition at line 137 of file dtensor.hpp.

◆ DeviceCube

typedef DeviceTensor<3,double> mfem::DeviceCube

Definition at line 146 of file dtensor.hpp.

◆ DeviceMatrix

typedef DeviceTensor<2,double> mfem::DeviceMatrix

Definition at line 143 of file dtensor.hpp.

◆ DeviceVector

typedef DeviceTensor<1,double> mfem::DeviceVector

Definition at line 140 of file dtensor.hpp.

◆ DG_FECollection

Declare an alternative name for L2_FECollection = DG_FECollection.

Definition at line 338 of file fe_coll.hpp.

◆ DiagonalMatrixCoefficient

Definition at line 903 of file coefficient.hpp.

◆ hip_launch_policy

using mfem::hip_launch_policy = typedef RAJA::expt::LaunchPolicy<RAJA::expt::null_launch_t, RAJA::expt::hip_launch_t<true> >

Definition at line 128 of file forall.hpp.

◆ hip_teams_x

using mfem::hip_teams_x = typedef RAJA::expt::LoopPolicy<RAJA::loop_exec,RAJA::hip_block_x_direct>

Definition at line 130 of file forall.hpp.

◆ hip_threads_z

using mfem::hip_threads_z = typedef RAJA::expt::LoopPolicy<RAJA::loop_exec,RAJA::hip_thread_z_direct>

Definition at line 132 of file forall.hpp.

◆ MatVecCoefficient

Convenient alias for the MatrixVectorProductCoefficient.

Definition at line 1853 of file coefficient.hpp.

◆ NonconservativeConvectionIntegrator

Definition at line 2306 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

Add an alternative name for OperatorHandle – OperatorPtr.

Definition at line 212 of file handle.hpp.

Enumeration Type Documentation

◆ AssemblyLevel

enum 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

Enumerator
MATRIX_ONLY 
RHS_ONLY 
MATRIX_AND_RHS 

Definition at line 906 of file hypre.hpp.

◆ CoefficientStorage

enum 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 2157 of file coefficient.hpp.

◆ ElementDofOrdering

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

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 mfem::FaceType : bool
strong

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

Enumerator
Interior 
Boundary 

Definition at line 45 of file mesh.hpp.

◆ L2FaceValues

enum 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 137 of file restriction.hpp.

◆ MemoryClass

enum 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 73 of file mem_manager.hpp.

◆ MemoryType

enum 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 31 of file mem_manager.hpp.

◆ QVectorLayout

enum 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.

◆ VTKFormat

enum 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 96 of file vtk.hpp.

Function Documentation

◆ add() [1/4]

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

Definition at line 313 of file vector.cpp.

◆ add() [2/4]

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

Definition at line 335 of file vector.cpp.

◆ add() [3/4]

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

Definition at line 371 of file vector.cpp.

◆ add() [4/4]

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

Definition at line 408 of file vector.cpp.

◆ Add() [1/8]

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

C = A + alpha*B.

Definition at line 2268 of file densemat.cpp.

◆ Add() [2/8]

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

C = alpha*A + beta*B.

Definition at line 2274 of file densemat.cpp.

◆ Add() [3/8]

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

C = alpha*A + beta*B.

Definition at line 2280 of file densemat.cpp.

◆ Add() [4/8]

HypreParMatrix * mfem::Add ( double  alpha,
const HypreParMatrix A,
double  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 2792 of file hypre.cpp.

◆ Add() [5/8]

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

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

Definition at line 3861 of file sparsemat.cpp.

◆ Add() [6/8]

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

Matrix addition result = A + B.

Definition at line 3944 of file sparsemat.cpp.

◆ Add() [7/8]

SparseMatrix * mfem::Add ( Array< SparseMatrix *> &  Ai)

Matrix addition result = sum_i A_i.

Definition at line 3949 of file sparsemat.cpp.

◆ Add() [8/8]

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

B += alpha * A.

Definition at line 3971 of file sparsemat.cpp.

◆ AddMult()

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

Matrix matrix multiplication. A += B * C.

Definition at line 2394 of file densemat.cpp.

◆ AddMult_a()

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

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

Definition at line 2361 of file densemat.cpp.

◆ AddMult_a_AAt()

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

AAt += a * A * A^t.

Definition at line 3042 of file densemat.cpp.

◆ AddMult_a_ABt()

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

ABt += a * A * B^t.

Definition at line 2926 of file densemat.cpp.

◆ AddMult_a_VVt()

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

VVt += a * v v^t.

Definition at line 3180 of file densemat.cpp.

◆ AddMult_a_VWt()

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

VWt += a * v w^t.

Definition at line 3158 of file densemat.cpp.

◆ AddMultABt()

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

ABt += A * B^t.

Definition at line 2833 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 2684 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 2890 of file densemat.cpp.

◆ AddMultVVt()

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

VVt += v v^t.

Definition at line 3134 of file densemat.cpp.

◆ AddMultVWt()

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

VWt += v w^t.

Definition at line 3113 of file densemat.cpp.

◆ Adjugate3D()

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

Definition at line 170 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,
double  cf,
double &  tol,
double &  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 2144 of file solvers.cpp.

◆ ApplyPlaneRotation()

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

Definition at line 943 of file solvers.cpp.

◆ AsConst()

template<typename T >
const T& mfem::AsConst ( T &  a)

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

Definition at line 347 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.

◆ AvgElementSize()

double mfem::AvgElementSize ( ParMesh pmesh)

Definition at line 42 of file dist_solver.cpp.

◆ 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 double  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]Mlubatch of square matrices - dimension m x m x n.
[out]Parray storing pivot information - dimension m x n.
[in]TOLoptional fuzzy comparison tolerance. Defaults to 0.0.

Definition at line 4246 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]Mlubatch of LU factors for matrix M - dimension m x m x n.
[in]Parray storing pivot information - dimension m x n.
[in,out]Xvector storing right-hand side and then solution - dimension m x n.

Definition at line 4313 of file densemat.cpp.

◆ be_to_bfe()

void mfem::be_to_bfe ( Geometry::Type  geom,
int  o,
const IntegrationPoint ip,
IntegrationPoint fip 
)

Definition at line 715 of file gridfunc.cpp.

◆ BiCGSTAB() [1/2]

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

BiCGSTAB method. (tolerances are squared)

Definition at line 1565 of file solvers.cpp.

◆ BiCGSTAB() [2/2]

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

BiCGSTAB method. (tolerances are squared)

Definition at line 1581 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 2762 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,
double &  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 4160 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]fespaceA vector finite element space
[in]constrained_attBoundary attributes to constrain
[out]constraint_rowstartsThe rowstarts for separately eliminated constraints, possible input to EliminationCGSolver
[in]parallelIndicate 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 780 of file constraints.cpp.

◆ CalcAdjugate() [1/2]

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

Definition at line 439 of file taddensemat.hpp.

◆ CalcAdjugate() [2/2]

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 2426 of file densemat.cpp.

◆ 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 2498 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
fethe element we are calculating on
irthe integration rule to calculate the gradients on
[out]Gmust be (nip x dim x dof) with column major storage
[in]dof_mapthe 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 2534 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 2601 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 2640 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
fethe element we are calculating on
irthe integration rule to calculate the shape matrix on
Bmust be (nip x dof) with column major storage
dof_mapthe 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 754 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 108 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,
double  RTOLERANCE,
double  ATOLERANCE 
)

Conjugate gradient method. (tolerances are squared)

Definition at line 889 of file solvers.cpp.

◆ CheckBasisType()

void mfem::CheckBasisType ( const FiniteElementSpace fes)

Definition at line 329 of file lor.cpp.

◆ CheckFinite()

int mfem::CheckFinite ( const double *  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 493 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()

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

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

Definition at line 4430 of file gridfunc.cpp.

◆ ComputeGlobalLpNorm() [1/2]

double mfem::ComputeGlobalLpNorm ( double  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 1459 of file coefficient.cpp.

◆ ComputeGlobalLpNorm() [2/2]

double mfem::ComputeGlobalLpNorm ( double  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 1489 of file coefficient.cpp.

◆ ComputeLpNorm() [1/2]

double mfem::ComputeLpNorm ( double  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 1416 of file coefficient.cpp.

◆ ComputeLpNorm() [2/2]

double mfem::ComputeLpNorm ( double  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 1437 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 509 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 474 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 629 of file ncmesh.cpp.

◆ CubeFaceBottom()

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

Definition at line 632 of file ncmesh.cpp.

◆ CubeFaceFront()

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

Definition at line 626 of file ncmesh.cpp.

◆ CubeFaceLeft()

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

Definition at line 620 of file ncmesh.cpp.

◆ CubeFaceRight()

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

Definition at line 623 of file ncmesh.cpp.

◆ CubeFaceTop()

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

Definition at line 635 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 391 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 400 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 412 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_dcThe MFEM data collection to convert.
[out]dcA 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.

◆ defined()

class if mfem::defined ( __alignas_is_defined  )

Definition at line 34 of file sparsemat.hpp.

◆ delete_hypre_ParCSRMatrixColMapOffd()

void mfem::delete_hypre_ParCSRMatrixColMapOffd ( hypre_ParCSRMatrix *  A)
inline

Definition at line 2673 of file hypre.cpp.

◆ Det2D()

MFEM_HOST_DEVICE double mfem::Det2D ( DeviceMatrix J)
inline

Definition at line 183 of file lor_util.hpp.

◆ Det3D()

MFEM_HOST_DEVICE double mfem::Det3D ( DeviceMatrix J)
inline

Definition at line 188 of file lor_util.hpp.

◆ DetOfLinComb()

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

Definition at line 7476 of file mesh.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.

◆ DiffuseField()

void mfem::DiffuseField ( ParGridFunction field,
int  smooth_steps 
)

Definition at line 17 of file dist_solver.cpp.

◆ 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()

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

Definition at line 644 of file vector.hpp.

◆ DistanceSquared()

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

Definition at line 632 of file vector.hpp.

◆ dsyev_Eigensystem()

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

Definition at line 1020 of file densemat.cpp.

◆ dsyevr_Eigensystem()

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

Definition at line 857 of file densemat.cpp.

◆ dsygv_Eigensystem()

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

Definition at line 1094 of file densemat.cpp.

◆ EliminateBC() [1/2]

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 2259 of file petsc.cpp.

◆ EliminateBC() [2/2]

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 3263 of file hypre.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.

◆ Extrude1D()

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

Extrude a 1D mesh.

Definition at line 12165 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 4497 of file gridfunc.cpp.

◆ Extrude2D()

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

Extrude a 2D mesh.

Definition at line 12325 of file mesh.cpp.

◆ f()

double mfem::f ( const Vector xvec)

Definition at line 32 of file lor_mms.hpp.

◆ f_vec()

void mfem::f_vec ( const Vector xvec,
Vector f 
)

Definition at line 68 of file lor_mms.hpp.

◆ 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 7348 of file mesh.cpp.

◆ FindRoots()

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

Definition at line 7556 of file mesh.cpp.

◆ FindTMax()

void mfem::FindTMax ( Vector c,
Vector x,
double &  tmax,