Namespaces
	electromagnetics

	miniapps

	superlu

	superlu_internal

Classes
class	BaseArray
	Base class for array container. More...

class	Array

class	Array2D

class	Array3D

class	MPI_Session
	A simple convenience 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	GroupTopology

class	GroupCommunicator

struct	VarMessage
	Variable-length MPI message containing unspecific binary data. More...

struct	MPITypeMap
	Helper struct to convert a C++ type to an MPI type. More...

class	IdGenerator

struct	Hashed2

struct	Hashed4

class	HashTable

class	isockstream

class	StackPart

class	Stack

class	MemAllocNode

class	MemAlloc

class	OptionsParser

class	osockstream

class	IntegerSet
	A set of integers. More...

class	ListOfIntegerSets
	List of integer sets. More...

class	socketbuf

class	GnuTLS_status

class	GnuTLS_global_state

class	GnuTLS_session_params

class	GnuTLS_socketbuf

class	socketstream

class	socketserver

class	Pair
	A pair of objects. More...

class	Triple

class	STable3DNode

class	STable3D
	Symmetric 3D Table. More...

struct	Connection
	Helper struct for defining a connectivity table, see Table::MakeFromList. More...

class	Table

class	STable

class	DSTable

struct	AssignOp

class	StopWatch
	Timing object. More...

class	BlockMatrix

class	BlockOperator
	A class to handle Block systems in a matrix-free implementation. More...

class	BlockDiagonalPreconditioner
	A class to handle Block diagonal preconditioners in a matrix-free implementation. More...

class	BlockVector

class	DenseMatrix
	Data type dense matrix using column-major storage. More...

class	LUFactors

class	DenseMatrixInverse

class	DenseMatrixEigensystem

class	DenseMatrixSVD

class	DenseTensor
	Rank 3 tensor (array of matrices) More...

class	HypreParVector
	Wrapper for hypre's parallel vector class. More...

class	HypreParMatrix
	Wrapper for hypre's ParCSR matrix class. More...

class	HypreSmoother
	Parallel smoothers in hypre. More...

class	HypreSolver
	Abstract class for hypre's solvers and preconditioners. More...

class	HyprePCG
	PCG solver in hypre. More...

class	HypreGMRES
	GMRES solver in hypre. More...

class	HypreIdentity
	The identity operator as a hypre solver. More...

class	HypreDiagScale
	Jacobi preconditioner in hypre. More...

class	HypreParaSails
	The ParaSails preconditioner in hypre. More...

class	HypreBoomerAMG
	The BoomerAMG solver in hypre. More...

class	HypreAMS
	The Auxiliary-space Maxwell Solver in hypre. More...

class	HypreADS
	The Auxiliary-space Divergence Solver in hypre. More...

class	HypreLOBPCG

class	HypreAME

class	Matrix
	Abstract data type matrix. More...

class	MatrixInverse
	Abstract data type for matrix inverse. More...

class	AbstractSparseMatrix
	Abstract data type for sparse matrices. More...

class	ODESolver
	Abstract class for solving systems of ODEs: dx/dt = f(x,t) More...

class	ForwardEulerSolver
	The classical forward Euler method. 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	ExplicitRKSolver

class	RK6Solver

class	RK8Solver

class	BackwardEulerSolver
	Backward Euler ODE solver. L-stable. More...

class	ImplicitMidpointSolver
	Implicit midpoint method. A-stable, not L-stable. More...

class	SDIRK23Solver

class	SDIRK34Solver

class	SDIRK33Solver

class	Operator
	Abstract operator. More...

class	TimeDependentOperator
	Base abstract class for time dependent operators: (x,t) -> f(x,t) More...

class	Solver
	Base class for solvers. More...

class	IdentityOperator
	Operator I: x -> x. More...

class	TransposeOperator
	The transpose of a given operator. More...

class	RAPOperator
	The operator x -> RAP*x. More...

class	TripleProductOperator
	General triple product operator x -> ABC*x, with ownership of the factors. More...

class	IterativeSolver
	Abstract base class for iterative solver. More...

class	SLISolver
	Stationary linear iteration: x <- x + B (b - A x) More...

class	CGSolver
	Conjugate gradient method. More...

class	GMRESSolver
	GMRES method. More...

class	FGMRESSolver
	FGMRES method. More...

class	BiCGSTABSolver
	BiCGSTAB method. More...

class	MINRESSolver
	MINRES method. More...

class	NewtonSolver

class	SLBQPOptimizer

class	UMFPackSolver
	Direct sparse solver using UMFPACK. More...

class	KLUSolver
	Direct sparse solver using KLU. More...

class	SparseMatrix
	Data type sparse matrix. More...

class	SparseSmoother

class	GSSmoother
	Data type for Gauss-Seidel smoother of sparse matrix. More...

class	DSmoother
	Data type for scaled Jacobi-type smoother of sparse matrix. More...

class	SuperLURowLocMatrix

class	SuperLUSolver

struct	OffsetStridedLayout1D

struct	StridedLayout2D

struct	StridedLayout1D

struct	OffsetStridedLayout2D

struct	StridedLayout3D

struct	StridedLayout4D

struct	OffsetStridedLayout3D

struct	OffsetStridedLayout4D

struct	ColumnMajorLayout2D

struct	ColumnMajorLayout3D

struct	ColumnMajorLayout4D

class	DynamicVectorLayout

class	VectorLayout

class	ScalarLayout

struct	TVector

struct	TMatrix

struct	TTensor3

struct	TTensor4

class	Vector
	Vector data type. More...

class	Element
	Abstract data type element. More...

class	Hexahedron
	Data type hexahedron element. More...

class	Mesh

class	NodeExtrudeCoefficient
	Class used to extrude the nodes of a mesh. More...

class	named_ifstream

class	MeshOperator
	The MeshOperator class serves as base for mesh manipulation classes. More...

class	MeshOperatorSequence

class	ThresholdRefiner
	Mesh refinement operator using an error threshold. More...

class	ThresholdDerefiner
	De-refinement operator using an error threshold. More...

class	Rebalancer
	ParMesh rebalancing operator. More...

class	MesquiteMesh

struct	Refinement

struct	Embedding
	Defines the position of a fine element within a coarse element. More...

struct	CoarseFineTransformations
	Defines the coarse-fine transformations of all fine elements. More...

class	NCMesh
	A class for non-conforming AMR on higher-order hexahedral, quadrilateral or triangular meshes. More...

class	KnotVector

class	NURBSPatch

class	NURBSExtension

class	ParNURBSExtension

class	NURBSPatchMap

class	ParMesh
	Class for parallel meshes. More...

class	ParNCMesh
	A parallel extension of the NCMesh class. More...

class	NeighborDofMessage

class	NeighborRowRequest

class	NeighborRowReply

class	Point
	Data type point element. More...

class	Quadrilateral
	Data type quadrilateral element. More...

class	Segment
	Data type line segment element. More...

class	Tetrahedron
	Data type tetrahedron element. More...

class	TMesh

class	Triangle
	Data type triangle element. More...

class	Vertex
	Data type for vertex. More...

class	BilinearForm

class	MixedBilinearForm

class	DiscreteLinearOperator

class	BilinearFormIntegrator
	Abstract base class BilinearFormIntegrator. More...

class	TransposeIntegrator

class	LumpedIntegrator

class	InverseIntegrator
	Integrator that inverts the matrix assembled by another integrator. More...

class	SumIntegrator
	Integrator defining a sum of multiple Integrators. More...

class	DiffusionIntegrator

class	MassIntegrator

class	BoundaryMassIntegrator

class	ConvectionIntegrator
	alpha (q . grad u, v) More...

class	GroupConvectionIntegrator
	alpha (q . grad u, v) using the "group" FE discretization More...

class	VectorMassIntegrator

class	VectorFEDivergenceIntegrator

class	VectorFECurlIntegrator
	Integrator for (curl u, v) for Nedelec and RT elements. More...

class	DerivativeIntegrator
	Class for integrating (Q D_i(u), v); u and v are scalars. More...

class	CurlCurlIntegrator
	Integrator for (curl u, curl v) for Nedelec elements. More...

class	VectorCurlCurlIntegrator

class	VectorFEMassIntegrator
	Integrator for (Q u, v) for VectorFiniteElements. More...

class	VectorDivergenceIntegrator

class	DivDivIntegrator
	(Q div u, div v) for RT elements More...

class	VectorDiffusionIntegrator

class	ElasticityIntegrator

class	DGTraceIntegrator

class	DGDiffusionIntegrator

class	TraceJumpIntegrator

class	NormalTraceJumpIntegrator

class	DiscreteInterpolator

class	GradientInterpolator

class	IdentityInterpolator

class	CurlInterpolator

class	DivergenceInterpolator

class	NormalInterpolator

class	Coefficient
	Base class Coefficient that may optionally depend on time. More...

class	ConstantCoefficient
	Subclass constant coefficient. More...

class	PWConstCoefficient
	class for piecewise constant coefficient More...

class	FunctionCoefficient
	class for C-function coefficient More...

class	GridFunctionCoefficient
	Coefficient defined by a GridFunction. This coefficient is mesh dependent. More...

class	TransformedCoefficient

class	DeltaCoefficient
	Delta function coefficient. More...

class	RestrictedCoefficient
	Coefficient defined on a subset of domain or boundary attributes. More...

class	VectorCoefficient

class	VectorConstantCoefficient

class	VectorFunctionCoefficient

class	VectorArrayCoefficient
	Vector coefficient defined by an array of scalar coefficients. More...

class	VectorGridFunctionCoefficient
	Vector coefficient defined by a vector GridFunction. More...

class	VectorRestrictedCoefficient
	VectorCoefficient defined on a subset of domain or boundary attributes. More...

class	MatrixCoefficient

class	MatrixFunctionCoefficient

class	MatrixArrayCoefficient

class	MatrixRestrictedCoefficient
	MatrixCoefficient defined on a subset of domain or boundary attributes. More...

class	DataCollection

class	VisItFieldInfo
	Helper class for VisIt visualization data. More...

class	VisItDataCollection
	Data collection with VisIt I/O routines. More...

class	ElementTransformation

class	IsoparametricTransformation

class	IntegrationPointTransformation

class	FaceElementTransformations

class	AbstractErrorEstimator
	Base class for all error estimators. More...

class	ErrorEstimator
	Base class for all element based error estimators. More...

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	ZienkiewiczZhuEstimator
	The ZienkiewiczZhuEstimator class implements the Zienkiewicz-Zhu error estimation procedure. 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	FunctionSpace
	Describes the space on each element. More...

class	FiniteElement
	Abstract class for Finite Elements. More...

class	NodalFiniteElement

class	PositiveFiniteElement

class	VectorFiniteElement

class	PointFiniteElement

class	Linear1DFiniteElement
	Class for linear FE on interval. More...

class	Linear2DFiniteElement
	Class for linear FE on triangle. More...

class	BiLinear2DFiniteElement
	Class for bilinear FE on quadrilateral. More...

class	GaussLinear2DFiniteElement
	Class for linear FE on triangle with nodes at the 3 "Gaussian" points. More...

class	GaussBiLinear2DFiniteElement
	Class for bilinear FE on quad with nodes at the 4 Gaussian points. More...

class	P1OnQuadFiniteElement

class	Quad1DFiniteElement
	Class for quadratic FE on interval. More...

class	QuadPos1DFiniteElement

class	Quad2DFiniteElement
	Class for quadratic FE on triangle. More...

class	GaussQuad2DFiniteElement
	Class for quadratic FE on triangle with nodes at the "Gaussian" points. More...

class	BiQuad2DFiniteElement
	Class for bi-quadratic FE on quadrilateral. More...

class	BiQuadPos2DFiniteElement

class	GaussBiQuad2DFiniteElement
	Bi-quadratic element on quad with nodes at the 9 Gaussian points. More...

class	BiCubic2DFiniteElement

class	Cubic1DFiniteElement

class	Cubic2DFiniteElement

class	Cubic3DFiniteElement
	Class for cubic FE on tetrahedron. More...

class	P0TriangleFiniteElement
	Class for constant FE on triangle. More...

class	P0QuadFiniteElement

class	Linear3DFiniteElement
	Class for linear FE on tetrahedron. More...

class	Quadratic3DFiniteElement
	Class for quadratic FE on tetrahedron. More...

class	TriLinear3DFiniteElement
	Class for tri-linear FE on cube. More...

class	CrouzeixRaviartFiniteElement
	Crouzeix-Raviart finite element on triangle. More...

class	CrouzeixRaviartQuadFiniteElement
	Crouzeix-Raviart finite element on quadrilateral. More...

class	P0SegmentFiniteElement

class	RT0TriangleFiniteElement

class	RT0QuadFiniteElement

class	RT1TriangleFiniteElement

class	RT1QuadFiniteElement

class	RT2TriangleFiniteElement

class	RT2QuadFiniteElement

class	P1SegmentFiniteElement
	Linear 1D element with nodes 1/3 and 2/3 (trace of RT1) More...

class	P2SegmentFiniteElement
	Quadratic 1D element with nodes the Gaussian points in [0,1] (trace of RT2) More...

class	Lagrange1DFiniteElement

class	P1TetNonConfFiniteElement

class	P0TetFiniteElement

class	P0HexFiniteElement

class	LagrangeHexFiniteElement
	Tensor products of 1D FEs (only degree 2 is functional) More...

class	RefinedLinear1DFiniteElement
	Class for refined linear FE on interval. More...

class	RefinedLinear2DFiniteElement
	Class for refined linear FE on triangle. More...

class	RefinedLinear3DFiniteElement
	Class for refined linear FE on tetrahedron. More...

class	RefinedBiLinear2DFiniteElement
	Class for refined bi-linear FE on quadrilateral. More...

class	RefinedTriLinear3DFiniteElement
	Class for refined trilinear FE on a hexahedron. More...

class	Nedelec1HexFiniteElement

class	Nedelec1TetFiniteElement

class	RT0HexFiniteElement

class	RT1HexFiniteElement

class	RT0TetFiniteElement

class	RotTriLinearHexFiniteElement

class	Poly_1D

class	H1_SegmentElement

class	H1_QuadrilateralElement

class	H1_HexahedronElement

class	H1Pos_SegmentElement

class	H1Pos_QuadrilateralElement

class	H1Pos_HexahedronElement

class	H1_TriangleElement

class	H1_TetrahedronElement

class	H1Pos_TriangleElement

class	H1Pos_TetrahedronElement

class	L2_SegmentElement

class	L2Pos_SegmentElement

class	L2_QuadrilateralElement

class	L2Pos_QuadrilateralElement

class	L2_HexahedronElement

class	L2Pos_HexahedronElement

class	L2_TriangleElement

class	L2Pos_TriangleElement

class	L2_TetrahedronElement

class	L2Pos_TetrahedronElement

class	RT_QuadrilateralElement

class	RT_HexahedronElement

class	RT_TriangleElement

class	RT_TetrahedronElement

class	ND_HexahedronElement

class	ND_QuadrilateralElement

class	ND_TetrahedronElement

class	ND_TriangleElement

class	ND_SegmentElement

class	NURBSFiniteElement

class	NURBS1DFiniteElement

class	NURBS2DFiniteElement

class	NURBS3DFiniteElement

class	FiniteElementCollection

class	H1_FECollection
	Arbitrary order H1-conforming (continuous) finite elements. More...

class	H1Pos_FECollection

class	H1_Trace_FECollection

class	L2_FECollection
	Arbitrary order "L2-conforming" discontinuous finite elements. More...

class	RT_FECollection
	Arbitrary order H(div)-conforming Raviart-Thomas finite elements. More...

class	RT_Trace_FECollection

class	DG_Interface_FECollection

class	ND_FECollection
	Arbitrary order H(curl)-conforming Nedelec finite elements. More...

class	ND_Trace_FECollection

class	NURBSFECollection
	Arbitrary order non-uniform rational B-splines (NURBS) finite elements. More...

class	LinearFECollection
	Piecewise-(bi)linear continuous finite elements. More...

class	QuadraticFECollection
	Piecewise-(bi)quadratic continuous finite elements. More...

class	QuadraticPosFECollection
	Version of QuadraticFECollection with positive basis functions. More...

class	CubicFECollection
	Piecewise-(bi)cubic continuous finite elements. More...

class	CrouzeixRaviartFECollection
	Crouzeix-Raviart nonconforming elements in 2D. More...

class	LinearNonConf3DFECollection
	Piecewise-linear nonconforming finite elements in 3D. More...

class	RT0_2DFECollection

class	RT1_2DFECollection

class	RT2_2DFECollection

class	Const2DFECollection

class	LinearDiscont2DFECollection

class	GaussLinearDiscont2DFECollection
	Version of LinearDiscont2DFECollection with dofs in the Gaussian points. More...

class	P1OnQuadFECollection
	Linear (P1) finite elements on quadrilaterals. More...

class	QuadraticDiscont2DFECollection

class	QuadraticPosDiscont2DFECollection
	Version of QuadraticDiscont2DFECollection with positive basis functions. More...

class	GaussQuadraticDiscont2DFECollection
	Version of QuadraticDiscont2DFECollection with dofs in the Gaussian points. More...

class	CubicDiscont2DFECollection

class	Const3DFECollection

class	LinearDiscont3DFECollection

class	QuadraticDiscont3DFECollection

class	RefinedLinearFECollection
	Finite element collection on a macro-element. More...

class	ND1_3DFECollection

class	RT0_3DFECollection

class	RT1_3DFECollection

class	Local_FECollection
	Discontinuous collection defined locally by a given finite element. More...

class	Ordering

class	FiniteElementSpace

class	Geometry

class	RefinedGeometry

class	GeometryRefiner

class	GridFunction
	Class for grid function - Vector with associated FE space. More...

class	ExtrudeCoefficient
	Class used for extruding scalar GridFunctions. More...

class	Hybridization

class	IntegrationPoint
	Class for integration point with weight. More...

class	IntegrationRule
	Class for integration rule. More...

class	IntegrationRules
	Container class for integration rules. More...

class	LinearForm
	Class for linear form - Vector with associated FE space and LFIntegrators. More...

class	LinearFormIntegrator
	Abstract base class LinearFormIntegrator. More...

class	DomainLFIntegrator
	Class for domain integration L(v) := (f, v) More...

class	BoundaryLFIntegrator
	Class for boundary integration L(v) := (g, v) More...

class	BoundaryNormalLFIntegrator
	Class for boundary integration $L(v) = (g \cdot n, v)$ . More...

class	BoundaryTangentialLFIntegrator
	Class for boundary integration $L(v) = (g \dot tau, v)$ in 2D. More...

class	VectorDomainLFIntegrator

class	VectorBoundaryLFIntegrator

class	VectorFEDomainLFIntegrator
	$(f, v)_{\Omega}$ for VectorFiniteElements (Nedelec, Raviart-Thomas) More...

class	VectorBoundaryFluxLFIntegrator

class	VectorFEBoundaryFluxLFIntegrator

class	VectorFEBoundaryTangentLFIntegrator
	Class for boundary integration $L(v) = (n \times f, v)$ . More...

class	BoundaryFlowIntegrator

class	DGDirichletLFIntegrator

class	NonlinearForm

class	NonlinearFormIntegrator

class	HyperelasticModel
	Abstract class for hyperelastic models. More...

class	InverseHarmonicModel

class	NeoHookeanModel

class	HyperelasticNLFIntegrator
	Hyperelastic integrator for any given HyperelasticModel. More...

class	ParBilinearForm
	Class for parallel bilinear form. More...

class	ParMixedBilinearForm
	Class for parallel bilinear form. More...

class	ParDiscreteLinearOperator

class	ParFiniteElementSpace
	Abstract parallel finite element space. More...

class	ParGridFunction
	Class for parallel grid function. More...

class	ParLinearForm
	Class for parallel linear form. More...

class	ParNonlinearForm
	Parallel non-linear operator on the true dofs. More...

class	StaticCondensation

class	TBilinearForm

class	TIntegrator

struct	TMassKernel

struct	TDiffusionKernel

struct	TDiffusionKernel< 1, 1, complex_t >

struct	TDiffusionKernel< 2, 2, complex_t >

struct	TDiffusionKernel< 3, 3, complex_t >

class	TCoefficient

class	TConstantCoefficient

class	TFunctionCoefficient

class	TPiecewiseConstCoefficient

class	TGridFunctionCoefficient

struct	IntRuleCoefficient

class	TElementTransformation

class	ShapeEvaluator_base

class	ShapeEvaluator_base< FE, IR, false, real_t >

class	TProductShapeEvaluator

class	TProductShapeEvaluator< 1, DOF, NIP, real_t >

class	TProductShapeEvaluator< 2, DOF, NIP, real_t >

class	TProductShapeEvaluator< 3, DOF, NIP, real_t >

class	ShapeEvaluator_base< FE, IR, true, real_t >

class	ShapeEvaluator

class	FieldEvaluator_base

class	FieldEvaluator

class	H1_FiniteElement

class	H1_FiniteElement< Geometry::SEGMENT, P >

class	H1_FiniteElement< Geometry::TRIANGLE, P >

class	H1_FiniteElement< Geometry::SQUARE, P >

class	H1_FiniteElement< Geometry::TETRAHEDRON, P >

class	H1_FiniteElement< Geometry::CUBE, P >

class	L2_FiniteElement_base

class	L2_FiniteElement

class	L2_FiniteElement< Geometry::SEGMENT, P >

class	L2_FiniteElement< Geometry::TRIANGLE, P >

class	L2_FiniteElement< Geometry::SQUARE, P >

class	L2_FiniteElement< Geometry::TETRAHEDRON, P >

class	L2_FiniteElement< Geometry::CUBE, P >

class	ElementDofIndexer

class	TFiniteElementSpace_simple

class	H1_FiniteElementSpace

class	DGIndexer

class	L2_FiniteElementSpace

class	GenericIntegrationRule

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	TProductIntegrationRule

class	GaussIntegrationRule

class	TIntegrationRule

class	TIntegrationRule< Geometry::SEGMENT, Order, real_t >

class	TIntegrationRule< Geometry::SQUARE, Order, real_t >

class	TIntegrationRule< Geometry::CUBE, Order, 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	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 >

Typedefs
typedef int	idxtype

typedef int	idx_t

typedef float	real_t

typedef L2_FECollection	DG_FECollection

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<class T >
void	Swap (Array2D< T > &, Array2D< T > &)

template<class T >
void	Swap (T &a, T &b)

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

MPI_Comm	ReorderRanksZCurve (MPI_Comm comm)

void	mfem_error (const char *msg)

void	mfem_warning (const char *msg)

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 >
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...

Table *	Transpose (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...

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

template<>
void	Swap< Table > (Table &a, Table &b)
	Specialization of the template function Swap<> for class Table. More...

template<AssignOp::Type Op, typename lvalue_t , typename rvalue_t >
lvalue_t &	Assign (lvalue_t &a, const rvalue_t &b)

void	tic ()
	Start timing. More...

double	toc ()
	End timing. More...

BlockMatrix *	Transpose (const BlockMatrix &A)
	Transpose a BlockMatrix: result = A'. More...

BlockMatrix *	Mult (const BlockMatrix &A, const BlockMatrix &B)
	Multiply BlockMatrix matrices: result = A*B. More...

void	dgetrf_ (int , int , double , int , int , int )

void	dgetrs_ (char , int , int , double , int , int , double , int , int *)

void	dgetri_ (int N, double A, int LDA, int IPIV, double WORK, int LWORK, int *INFO)

void	dsyevr_ (char JOBZ, char RANGE, char UPLO, int N, double A, int LDA, double VL, double VU, int IL, int IU, double ABSTOL, int M, double W, double Z, int LDZ, int ISUPPZ, double WORK, int LWORK, int IWORK, int LIWORK, int *INFO)

void	dsyev_ (char JOBZ, char UPLO, int N, double A, int LDA, double W, double WORK, int LWORK, int *INFO)

void	dgesvd_ (char JOBU, char JOBVT, int M, int N, double A, int LDA, double S, double U, int LDU, double VT, int LDVT, double WORK, int LWORK, int INFO)

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

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

void	Eigenvalues2S (const double &d12, double &d1, double &d2)

void	Eigensystem2S (const double &d12, double &d1, double &d2, double &c, double &s)

void	vec_normalize3_aux (const double &x1, const double &x2, const double &x3, double &n1, double &n2, double &n3)

void	vec_normalize3 (const double &x1, const double &x2, const double &x3, double &n1, double &n2, double &n3)

bool	KernelVector2G (const int &mode, double &d1, double &d12, double &d21, double &d2)

int	KernelVector3G_aux (const int &mode, double &d1, double &d2, double &d3, double &c12, double &c13, double &c23, double &c21, double &c31, double &c32)

int	KernelVector3S (const int &mode, const double &d12, const double &d13, const double &d23, double &d1, double &d2, double &d3)

int	Reduce3S (const int &mode, double &d1, double &d2, double &d3, double &d12, double &d13, double &d23, double &z1, double &z2, double &z3, double &v1, double &v2, double &v3, double &g)

void	GetScalingFactor (const double &d_max, double &mult)

void	Add (const DenseMatrix &A, const DenseMatrix &B, double alpha, DenseMatrix &C)
	C = A + alpha*B. More...

void	Add (double alpha, const DenseMatrix &A, double beta, const DenseMatrix &B, DenseMatrix &C)
	C = alphaA + betaB. More...

void	dgemm_ (char , char , int , int , int , double , double , int , double , int , double , double , int *)

void	Mult (const DenseMatrix &b, const DenseMatrix &c, DenseMatrix &a)
	Matrix matrix multiplication. A = 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 &ADAt)
	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	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	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...

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...

HypreParMatrix *	ParMult (HypreParMatrix A, HypreParMatrix B)
	Returns the matrix A * B. More...

HypreParMatrix *	RAP (HypreParMatrix A, HypreParMatrix P)
	Returns the matrix P^t * A * P. More...

HypreParMatrix *	RAP (HypreParMatrix Rt, HypreParMatrix A, HypreParMatrix *P)
	Returns the matrix Rt^t * A * P. More...

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

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)

HypreParMatrix *	DiscreteGrad (ParFiniteElementSpace edge_fespace, ParFiniteElementSpace vert_fespace)
	Compute the discrete gradient matrix between the nodal linear and ND1 spaces. More...

HypreParMatrix *	DiscreteCurl (ParFiniteElementSpace face_fespace, ParFiniteElementSpace edge_fespace)
	Compute the discrete curl matrix between the ND1 and RT0 spaces. More...

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	SparseMatrixFunction (SparseMatrix &S, double(*f)(double))
	Applies f() to each element of the matrix (after it is finalized). More...

SparseMatrix *	Transpose (const SparseMatrix &A)
	Transpose of a sparse matrix. A must be finalized. More...

SparseMatrix *	TransposeAbstractSparseMatrix (const AbstractSparseMatrix &A, int useActualWidth)
	Transpose of a sparse matrix. A does not need to be a CSR matrix. More...

SparseMatrix *	Mult (const SparseMatrix &A, const SparseMatrix &B, SparseMatrix *OAB)

SparseMatrix *	MultAbstractSparseMatrix (const AbstractSparseMatrix &A, const AbstractSparseMatrix &B)
	Matrix product of sparse matrices. A and B do not need to be CSR matrices. More...

DenseMatrix *	Mult (const SparseMatrix &A, DenseMatrix &B)
	Matrix product A.B. More...

DenseMatrix *	RAP (const SparseMatrix &A, DenseMatrix &P)
	RAP matrix product (with R=P^T) More...

SparseMatrix *	RAP (const SparseMatrix &A, const SparseMatrix &R, SparseMatrix *ORAP)

SparseMatrix *	RAP (const SparseMatrix &Rt, const SparseMatrix &A, const SparseMatrix &P)
	General RAP with given R^T, A and P. More...

SparseMatrix *	Mult_AtDA (const SparseMatrix &A, const Vector &D, SparseMatrix *OAtDA=NULL)
	Matrix multiplication A^t D A. All matrices must be finalized. More...

SparseMatrix *	Add (double a, const SparseMatrix &A, double b, const SparseMatrix &B)
	Matrix addition result = aA + bB. More...

SparseMatrix *	Add (const SparseMatrix &A, const SparseMatrix &B)
	Matrix addition result = A + B. More...

SparseMatrix *	Add (Array< SparseMatrix * > &Ai)
	Matrix addition result = sum_i A_i. More...

class if	defined (__alignas_is_defined) alignas(double) RowNode

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<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 >
scalar_t	TAdjDet (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, 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)

bool	IsFinite (const double &val)

template<>
void	Swap< Vector > (Vector &a, Vector &b)
	Specialization of the template function Swap<> for class Vector. More...

double	Distance (const double x, const double y, const int n)

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

void	METIS_PartGraphRecursive (int , idxtype , idxtype , idxtype , idxtype , int , int , int , int , int , idxtype *)

void	METIS_PartGraphKway (int , idxtype , idxtype , idxtype , idxtype , int , int , int , int , int , idxtype *)

void	METIS_PartGraphVKway (int , idxtype , idxtype , idxtype , idxtype , int , int , int , int , int , idxtype *)

int	METIS_PartGraphRecursive (idx_t nvtxs, idx_t ncon, idx_t xadj, idx_t adjncy, idx_t vwgt, idx_t vsize, idx_t adjwgt, idx_t nparts, real_t tpwgts, real_t ubvec, idx_t options, idx_t edgecut, idx_t *part)

int	METIS_PartGraphKway (idx_t nvtxs, idx_t ncon, idx_t xadj, idx_t adjncy, idx_t vwgt, idx_t vsize, idx_t adjwgt, idx_t nparts, real_t tpwgts, real_t ubvec, idx_t options, idx_t edgecut, idx_t *part)

int	METIS_SetDefaultOptions (idx_t *options)

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 &out, const Mesh &mesh)

Mesh *	Extrude1D (Mesh *mesh, const int ny, const double sy, const bool closed=false)
	Extrude a 1D mesh. More...

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

NURBSPatch *	Revolve3D (NURBSPatch &patch, double n[], double ang, int times)

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

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[])

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

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

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

string	to_string (int i)

string	to_padded_string (int i, int digits)

int	to_int (string str)

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

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

void	InvertLinearTrans (IsoparametricTransformation &trans, const DenseMatrix &invdfdx, const IntegrationPoint &pt, Vector &x)

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)

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

double	ZZErrorEstimator (BilinearFormIntegrator &blfi, GridFunction &u, GridFunction &flux, Vector &error_estimates, Array< int > *aniso_flags, int with_subdomains)

double	ComputeElementLpDistance (double p, int i, GridFunction &gf1, GridFunction &gf2)
	Compute the Lp distance between two grid functions on the given element. More...

GridFunction *	Extrude1DGridFunction (Mesh mesh, Mesh mesh2d, GridFunction *sol, const int ny)
	Extrude a scalar 1D GridFunction, after extruding the mesh with Extrude1D. More...

int	decode_dof (int dof, double &sign)

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)

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

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

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

Variables
StopWatch	tic_toc

TriLinear3DFiniteElement	HexahedronFE

PointFiniteElement	PointFE

BiLinear2DFiniteElement	QuadrilateralFE

Linear1DFiniteElement	SegmentFE

Linear3DFiniteElement	TetrahedronFE

Linear2DFiniteElement	TriangleFE

Poly_1D	poly1d

Geometry	Geometries

GeometryRefiner	GlobGeometryRefiner

IntegrationRules	IntRules (0)
	A global object with all integration rules (defined in intrules.cpp) More...

IntegrationRules	RefinedIntRules (1)
	A global object with all refined integration rules. More...

const int	INVALID_DOF = INT_MAX

Typedef Documentation

typedef L2_FECollection mfem::DG_FECollection

Definition at line 176 of file fe_coll.hpp.

typedef int mfem::idx_t

Definition at line 4275 of file mesh.cpp.

typedef int mfem::idxtype

Definition at line 4264 of file mesh.cpp.

typedef float mfem::real_t

Definition at line 4276 of file mesh.cpp.

Function Documentation

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

Definition at line 259 of file vector.cpp.

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

Definition at line 277 of file vector.cpp.

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

Definition at line 308 of file vector.cpp.

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

Definition at line 340 of file vector.cpp.

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

C = A + alpha*B.

Definition at line 2809 of file densemat.cpp.

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

C = alpha*A + beta*B.

Definition at line 2819 of file densemat.cpp.

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

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

Definition at line 2881 of file sparsemat.cpp.

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

Matrix addition result = A + B.

Definition at line 2964 of file sparsemat.cpp.

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

Matrix addition result = sum_i A_i.

Definition at line 2969 of file sparsemat.cpp.

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

Matrix matrix multiplication. A += B * C.

Definition at line 2872 of file densemat.cpp.

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

AAt += a * A * A^t.

Definition at line 3455 of file densemat.cpp.

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

VVt += a * v v^t.

Definition at line 3568 of file densemat.cpp.

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

VWt += a * v w^t.

Definition at line 3546 of file densemat.cpp.

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

ABt += A * B^t.

Definition at line 3341 of file densemat.cpp.

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

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

Definition at line 3174 of file densemat.cpp.

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

VWt += v w^t.

Definition at line 3525 of file densemat.cpp.

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 1271 of file solvers.cpp.

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

inline

Definition at line 493 of file solvers.cpp.

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 97 of file tassign.hpp.

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 986 of file solvers.cpp.

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 1002 of file solvers.cpp.

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 75 of file tmatrix.hpp.

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 2904 of file densemat.cpp.

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 2976 of file densemat.cpp.

template<typename real_t >

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

Definition at line 45 of file tfe.hpp.

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 3012 of file densemat.cpp.

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 3095 of file densemat.cpp.

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 3134 of file densemat.cpp.

template<typename real_t >

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

Definition at line 24 of file tfe.hpp.

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 70 of file tfe.hpp.

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 443 of file solvers.cpp.

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 239 of file vector.hpp.

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 2417 of file gridfunc.cpp.

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 358 of file coefficient.cpp.

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 388 of file coefficient.cpp.

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 315 of file coefficient.cpp.

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 336 of file coefficient.cpp.

int mfem::decode_dof	(	int	dof,
		double &	sign
	)

inline

Definition at line 963 of file pfespace.cpp.

class if mfem::defined ( __alignas_is_defined )

Definition at line 26 of file sparsemat.hpp.

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

Definition at line 4696 of file mesh.cpp.

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

void mfem::dgesvd_	(	char *	JOBU,
		char *	JOBVT,
		int *	M,
		int *	N,
		double *	A,
		int *	LDA,
		double *	S,
		double *	U,
		int *	LDU,
		double *	VT,
		int *	LDVT,
		double *	WORK,
		int *	LWORK,
		int *	INFO
	)

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

void mfem::dgetri_	(	int *	N,
		double *	A,
		int *	LDA,
		int *	IPIV,
		double *	WORK,
		int *	LWORK,
		int *	INFO
	)

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

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

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

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

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

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

inline

Definition at line 329 of file vector.hpp.

void mfem::dsyev_	(	char *	JOBZ,
		char *	UPLO,
		int *	N,
		double *	A,
		int *	LDA,
		double *	W,
		double *	WORK,
		int *	LWORK,
		int *	INFO
	)

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

Definition at line 915 of file densemat.cpp.

void mfem::dsyevr_	(	char *	JOBZ,
		char *	RANGE,
		char *	UPLO,
		int *	N,
		double *	A,
		int *	LDA,
		double *	VL,
		double *	VU,
		int *	IL,
		int *	IU,
		double *	ABSTOL,
		int *	M,
		double *	W,
		double *	Z,
		int *	LDZ,
		int *	ISUPPZ,
		double *	WORK,
		int *	LWORK,
		int *	IWORK,
		int *	LIWORK,
		int *	INFO
	)

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

Definition at line 751 of file densemat.cpp.

void mfem::Eigensystem2S	(	const double &	d12,
		double &	d1,
		double &	d2,
		double &	c,
		double &	s
	)

inline

Definition at line 1061 of file densemat.cpp.

void mfem::Eigenvalues2S	(	const double &	d12,
		double &	d1,
		double &	d2
	)

inline

Definition at line 1042 of file densemat.cpp.

void mfem::EliminateBC	(	HypreParMatrix &	A,
		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 1415 of file hypre.cpp.

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

Extrude a 1D mesh.

Definition at line 8261 of file mesh.cpp.

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 2484 of file gridfunc.cpp.

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

Definition at line 4568 of file mesh.cpp.

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

Definition at line 4776 of file mesh.cpp.

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

Definition at line 4923 of file mesh.cpp.

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

inline

Definition at line 471 of file solvers.cpp.

void mfem::GetScalingFactor	(	const double &	d_max,
		double &	mult
	)

inline

Definition at line 1632 of file densemat.cpp.

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

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

Definition at line 459 of file pgridfunc.cpp.

int mfem::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)

Definition at line 824 of file solvers.cpp.

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

GMRES method. (tolerances are squared)

Definition at line 841 of file solvers.cpp.

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

Definition at line 196 of file hypre.cpp.

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

Returns the inner product of x and y.

Definition at line 201 of file hypre.cpp.

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

Definition at line 1052 of file nurbs.cpp.

void mfem::InvertLinearTrans	(	IsoparametricTransformation &	trans,
		const DenseMatrix &	invdfdx,
		const IntegrationPoint &	pt,
		Vector &	x
	)

Definition at line 753 of file fespace.cpp.

bool mfem::IsFinite ( const double & val )

inline

Definition at line 227 of file vector.hpp.

int mfem::isValidAsDouble ( char * s )

Definition at line 50 of file optparser.cpp.

int mfem::isValidAsInt ( char * s )

Definition at line 21 of file optparser.cpp.

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

Definition at line 560 of file communication.cpp.

bool mfem::KernelVector2G	(	const int &	mode,
		double &	d1,
		double &	d12,
		double &	d21,
		double &	d2
	)

inline

Definition at line 1135 of file densemat.cpp.

int mfem::KernelVector3G_aux	(	const int &	mode,
		double &	d1,
		double &	d2,
		double &	d3,
		double &	c12,
		double &	c13,
		double &	c23,
		double &	c21,
		double &	c31,
		double &	c32
	)

inline

Definition at line 1276 of file densemat.cpp.

int mfem::KernelVector3S	(	const int &	mode,
		const double &	d12,
		const double &	d13,
		const double &	d23,
		double &	d1,
		double &	d2,
		double &	d3
	)

inline

Definition at line 1381 of file densemat.cpp.

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

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

Definition at line 542 of file pgridfunc.cpp.

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

Definition at line 242 of file coefficient.cpp.

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

Definition at line 273 of file coefficient.cpp.

void mfem::METIS_PartGraphKway	(	int *	,
		idxtype *	,
		idxtype *	,
		idxtype *	,
		idxtype *	,
		int *	,
		int *	,
		int *	,
		int *	,
		int *	,
		idxtype *
	)

int mfem::METIS_PartGraphKway	(	idx_t *	nvtxs,
		idx_t *	ncon,
		idx_t *	xadj,
		idx_t *	adjncy,
		idx_t *	vwgt,
		idx_t *	vsize,
		idx_t *	adjwgt,
		idx_t *	nparts,
		real_t *	tpwgts,
		real_t *	ubvec,
		idx_t *	options,
		idx_t *	edgecut,
		idx_t *	part
	)

void mfem::METIS_PartGraphRecursive	(	int *	,
		idxtype *	,
		idxtype *	,
		idxtype *	,
		idxtype *	,
		int *	,
		int *	,
		int *	,
		int *	,
		int *	,
		idxtype *
	)

int mfem::METIS_PartGraphRecursive	(	idx_t *	nvtxs,
		idx_t *	ncon,
		idx_t *	xadj,
		idx_t *	adjncy,
		idx_t *	vwgt,
		idx_t *	vsize,
		idx_t *	adjwgt,
		idx_t *	nparts,
		real_t *	tpwgts,
		real_t *	ubvec,
		idx_t *	options,
		idx_t *	edgecut,
		idx_t *	part
	)

void mfem::METIS_PartGraphVKway	(	int *	,
		idxtype *	,
		idxtype *	,
		idxtype *	,
		idxtype *	,
		int *	,
		int *	,
		int *	,
		int *	,
		int *	,
		idxtype *
	)

int mfem::METIS_SetDefaultOptions ( idx_t * options )

void mfem::mfem_error ( const char * msg )

Definition at line 23 of file error.cpp.

void mfem::mfem_warning ( const char * msg )

Definition at line 38 of file error.cpp.

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

MINRES method without preconditioner. (tolerances are squared)

Definition at line 1171 of file solvers.cpp.

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

MINRES method with preconditioner. (tolerances are squared)

Definition at line 1183 of file solvers.cpp.

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

C = A * B (as boolean matrices)

Definition at line 451 of file table.cpp.

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

Definition at line 522 of file table.cpp.

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

Multiply BlockMatrix matrices: result = A*B.

Definition at line 523 of file blockmatrix.cpp.

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

Matrix product A.B. If OAB is not NULL, we assume it has the structure of A.B and store the result in OAB. If OAB is NULL, we create a new SparseMatrix to store the result and return a pointer to it. All matrices must be finalized.

Definition at line 2594 of file sparsemat.cpp.

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

Matrix product A.B.

Definition at line 2817 of file sparsemat.cpp.

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

Matrix matrix multiplication. A = B * C.

Definition at line 2836 of file densemat.cpp.

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

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

inline

Definition at line 392 of file ttensor.hpp.

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

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

inline

Definition at line 415 of file ttensor.hpp.

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

AAt = a * A * A^t.

Definition at line 3480 of file densemat.cpp.

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

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

inline

Definition at line 216 of file tmatrix.hpp.

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

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

Definition at line 2862 of file sparsemat.cpp.

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

Calculate the matrix A.At.

Definition at line 3160 of file densemat.cpp.

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

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

Definition at line 2720 of file sparsemat.cpp.

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

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

Definition at line 3218 of file densemat.cpp.

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

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

Definition at line 3202 of file densemat.cpp.

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

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

Definition at line 3301 of file densemat.cpp.

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

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

Definition at line 3398 of file densemat.cpp.

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

Make a matrix from a vector V.Vt.

Definition at line 3494 of file densemat.cpp.

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

Definition at line 3503 of file densemat.cpp.

template<class T >

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

inline

Definition at line 240 of file array.hpp.

template<class A , class B >

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

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

Definition at line 32 of file sort_pairs.hpp.

template<class A , class B , class C >

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

Lexicographic comparison operator for class Triple.

Definition at line 56 of file sort_pairs.hpp.

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

inline

Definition at line 577 of file pncmesh.hpp.

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

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

Definition at line 2322 of file gridfunc.cpp.

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

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

Definition at line 8230 of file mesh.cpp.

template<class T >

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

inline

Definition at line 231 of file array.hpp.

template<>

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

Definition at line 26 of file fespace.cpp.

template<>

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

Definition at line 41 of file fespace.cpp.

template<>

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

inline

Definition at line 42 of file fespace.hpp.

template<>

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

inline

Definition at line 49 of file fespace.hpp.

int mfem::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
	)

Definition at line 1502 of file hypre.cpp.

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

Definition at line 1465 of file hypre.cpp.

HypreParMatrix * mfem::ParMult	(	HypreParMatrix *	A,
		HypreParMatrix *	B
	)

Returns the matrix A * B.

Definition at line 1355 of file hypre.cpp.

double mfem::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.

Definition at line 207 of file hypre.cpp.

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

Definition at line 116 of file optparser.cpp.

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

Definition at line 127 of file optparser.cpp.

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

Preconditioned conjugate gradient method. (tolerances are squared)

Definition at line 456 of file solvers.cpp.

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

Returns the matrix P^t * A * P.

Definition at line 1365 of file hypre.cpp.

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

Returns the matrix Rt^t * A * P.

Definition at line 1388 of file hypre.cpp.

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

RAP matrix product (with R=P^T)

Definition at line 2830 of file sparsemat.cpp.

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

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

Definition at line 2840 of file sparsemat.cpp.

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

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

Definition at line 2851 of file sparsemat.cpp.

int mfem::Reduce3S	(	const int &	mode,
		double &	d1,
		double &	d2,
		double &	d3,
		double &	d12,
		double &	d13,
		double &	d23,
		double &	z1,
		double &	z2,
		double &	z3,
		double &	v1,
		double &	v2,
		double &	v3,
		double &	g
	)

inline

Definition at line 1510 of file densemat.cpp.

MPI_Comm mfem::ReorderRanksZCurve ( MPI_Comm comm )

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

Definition at line 591 of file communication.cpp.

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

Definition at line 1099 of file nurbs.cpp.

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

Stationary linear iteration. (tolerances are squared)

Definition at line 259 of file solvers.cpp.

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

Preconditioned stationary linear iteration. (tolerances are squared)

Definition at line 272 of file solvers.cpp.

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

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

inline

Definition at line 29 of file tmatrix.hpp.

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

inline

Definition at line 35 of file stable3d.cpp.

template<class A , class B >

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

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

Definition at line 39 of file sort_pairs.hpp.

template<class A , class B , class C >

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

Lexicographic sort for arrays of class Triple.

Definition at line 65 of file sort_pairs.hpp.

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

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

Definition at line 2452 of file sparsemat.cpp.

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

Definition at line 385 of file vector.cpp.

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

Definition at line 407 of file vector.cpp.

template<class T >

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

inline

Definition at line 322 of file array.hpp.

template<class T >

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

inline

Definition at line 564 of file array.hpp.

template<class T >

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

inline

Definition at line 314 of file array.hpp.

template<>

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

inline

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

Definition at line 570 of file sparsemat.hpp.

template<>

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

inline

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

Definition at line 160 of file table.hpp.

template<>

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

inline

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

Definition at line 316 of file vector.hpp.

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

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

inline

Definition at line 510 of file tmatrix.hpp.

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

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

inline

Definition at line 496 of file tmatrix.hpp.

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

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

inline

Definition at line 219 of file ttensor.hpp.

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

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

inline

Definition at line 232 of file ttensor.hpp.

template<typename scalar_t , typename layout_t , typename data_t >

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

inline

Definition at line 474 of file tmatrix.hpp.

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

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

inline

Definition at line 485 of file tmatrix.hpp.

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

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

inline

Definition at line 432 of file ttensor.hpp.

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

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

inline

Definition at line 507 of file ttensor.hpp.

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

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

inline

Definition at line 598 of file ttensor.hpp.

void mfem::tic ( )

Start timing.

Definition at line 340 of file tic_toc.cpp.

int mfem::to_int ( string str )

Definition at line 49 of file datacollection.cpp.

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

Definition at line 42 of file datacollection.cpp.

string mfem::to_string ( int i )

Definition at line 31 of file datacollection.cpp.

double mfem::toc ( )

End timing.

Definition at line 346 of file tic_toc.cpp.

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

Transpose a Table.

Definition at line 391 of file table.cpp.

Table * mfem::Transpose ( const Table & A )

Definition at line 429 of file table.cpp.

void mfem::Transpose	(	const Array< int > &	A,
		Table &	At,
		int	_ncols_A
	)

Transpose an Array<int>

Definition at line 436 of file table.cpp.

BlockMatrix * mfem::Transpose ( const BlockMatrix & A )

Transpose a BlockMatrix: result = A'.

Definition at line 509 of file blockmatrix.cpp.

SparseMatrix * mfem::Transpose ( const SparseMatrix & A )

Transpose of a sparse matrix. A must be finalized.

Definition at line 2463 of file sparsemat.cpp.

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

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

Definition at line 2517 of file sparsemat.cpp.

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

inline

Definition at line 500 of file solvers.cpp.

void mfem::vec_normalize3	(	const double &	x1,
		const double &	x2,
		const double &	x3,
		double &	n1,
		double &	n2,
		double &	n3
	)

inline

Definition at line 1107 of file densemat.cpp.

void mfem::vec_normalize3_aux	(	const double &	x1,
		const double &	x2,
		const double &	x3,
		double &	n1,
		double &	n2,
		double &	n3
	)

inline

Definition at line 1090 of file densemat.cpp.

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

Definition at line 2966 of file mesh.cpp.

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