mfem Namespace Reference

Classes
class	BaseArray
	Base class for array container. More...
class	Array
class	Array2D
class	Array3D
class	GroupTopology
class	GroupCommunicator
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	socketstream
class	socketserver
class	Pair
	A pair of objects. More...
class	Triple
class	STable3DNode
class	STable3D
	Symmetric 3D Table. More...
class	Table
class	STable
class	DSTable
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. More...
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	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 -> R*A*P*x. 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	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	Vector
	Vector data type. More...
class	Element
	Abstract data type element. More...
class	RefinedElement
class	BisectedElement
class	QuadrisectedElement
class	OctasectedElement
class	Hexahedron
	Data type hexahedron element. More...
class	Mesh
class	NodeExtrudeCoefficient
	Class used to exrude the nodes of a mesh. More...
class	MesquiteMesh
struct	Refinement
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	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	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	DiscreteInterpolator
class	GradientInterpolator
class	IdentityInterpolator
class	CurlInterpolator
class	DivergenceInterpolator
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	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	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	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	NURBSFiniteElement
class	NURBS1DFiniteElement
class	NURBS2DFiniteElement
class	NURBS3DFiniteElement
class	FiniteElementCollection
class	H1_FECollection
	Arbitrary order H1-conforming (continuous) finite elements. More...
class	H1Pos_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	ND_FECollection
	Arbitrary order H(curl)-conforming Nedelec finite elements. More...
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	RefinementData
	Data kept for every type of refinement. More...
class	FiniteElementSpace
	Abstract finite element space. More...
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	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 . More...
class	BoundaryTangentialLFIntegrator
	Class for boundary integration in 2D. More...
class	VectorDomainLFIntegrator
class	VectorBoundaryLFIntegrator
class	VectorFEDomainLFIntegrator
	for VectorFiniteElements (Nedelec, Raviart-Thomas) More...
class	VectorBoundaryFluxLFIntegrator
class	VectorFEBoundaryFluxLFIntegrator
class	VectorFEBoundaryTangentLFIntegrator
	Class for boundary integration . 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...

Typedefs
typedef int	idxtype
typedef int	idx_t
typedef float	real_t
typedef L2_FECollection	DG_FECollection
typedef int	RefinementType
	Type of refinement (int, a tree, etc.) More...

Functions
template<class T >
int	Compare (const void *p, const void *q)
template<class T >
void	Swap (Array< T > &, Array< T > &)
template<class T >
void	Swap (Array2D< T > &, Array2D< T > &)
template<class T >
void	Swap (T &a, T &b)
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 >
int	ComparePairs (const void *_p, const void *_q)
	Compare the first element of the pairs. More...
template<class A , class B >
void	SortPairs (Pair< A, B > *pairs, int size)
	Sort with respect to the first element. More...
template int	ComparePairs< int, int > (const void *, const void *)
template int	ComparePairs< double, int > (const void *, const void *)
template int	ComparePairs< int, double > (const void *, const void *)
template void	SortPairs< int, int > (Pair< int, int > *, int)
template void	SortPairs< double, int > (Pair< double, int > *, int)
template void	SortPairs< int, double > (Pair< int, double > *, int)
template<class A , class B , class C >
int	CompareTriple (const void *_p, const void *_q)
template<class A , class B , class C >
void	SortTriple (Triple< A, B, C > *triples, int size)
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)
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	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	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	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...
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, Array< int > &ess_dof_list, HypreParVector &x, HypreParVector &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...
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)
SparseMatrix *	Add (double a, const SparseMatrix &A, double b, const SparseMatrix &B)
	Matrix addition result = a*A + b*B. 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...
void	Swap (SparseMatrix &A, SparseMatrix &B)
class if	defined (__alignas_is_defined) alignas(double) RowNode
void	swap (Vector *v1, Vector *v2)
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	Distance (const double *x, const double *y, const int n)
void	skip_comment_lines (std::istream &is, const char comment_char)
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...
int	decode_dof (int dof, double &sign)
NURBSPatch *	Interpolate (NURBSPatch &p1, NURBSPatch &p2)
NURBSPatch *	Revolve3D (NURBSPatch &patch, double n[], double ang, int times)
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)
std::ostream &	operator<< (std::ostream &out, const GridFunction &sol)
void	ComputeFlux (BilinearFormIntegrator &blfi, GridFunction &u, GridFunction &flux, int wcoef, int sd)
void	ZZErrorEstimator (BilinearFormIntegrator &blfi, GridFunction &u, GridFunction &flux, Vector &ErrorEstimates, int wsd)
GridFunction *	Extrude1DGridFunction (Mesh *mesh, Mesh *mesh2d, GridFunction *sol, const int ny)
	Extrude a scalar 1D GridFunction, after extruding the mesh with Extrude1D. 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...

Variables
StopWatch	tic_toc
MemAlloc< BisectedElement, 1024 >	BEMemory
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...

Typedef Documentation

typedef L2_FECollection mfem::DG_FECollection

Definition at line 116 of file fe_coll.hpp.

typedef int mfem::idx_t

Definition at line 4191 of file mesh.cpp.

typedef int mfem::idxtype

Definition at line 4180 of file mesh.cpp.

typedef float mfem::real_t

Definition at line 4192 of file mesh.cpp.

typedef int mfem::RefinementType

Type of refinement (int, a tree, etc.)

Definition at line 39 of file fespace.hpp.

Function Documentation

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

Definition at line 227 of file vector.cpp.

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

Definition at line 241 of file vector.cpp.

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

Definition at line 268 of file vector.cpp.

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

Definition at line 298 of file vector.cpp.

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

C = A + alpha*B.

Definition at line 2430 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 2548 of file sparsemat.cpp.

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

Matrix addition result = A + B.

Definition at line 2631 of file sparsemat.cpp.

SparseMatrix * mfem::Add

(

Array< SparseMatrix * > &

Ai

)

Matrix addition result = sum_i A_i.

Definition at line 2636 of file sparsemat.cpp.

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

AAt += a * A * A^t.

Definition at line 2965 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 3059 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 3042 of file densemat.cpp.

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

ABt += A * B^t.

Definition at line 2859 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 2744 of file densemat.cpp.

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

VWt += v w^t.

Definition at line 3025 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 convergance factor.

Definition at line 1168 of file solvers.cpp.

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

inline

Definition at line 461 of file solvers.cpp.

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 911 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 927 of file solvers.cpp.

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 2488 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 2554 of file densemat.cpp.

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 2588 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 2673 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 2710 of file densemat.cpp.

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 411 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 214 of file vector.hpp.

template<class T >

int mfem::Compare	(	const void *	p,
		const void *	q
	)

Definition at line 104 of file array.cpp.

template<class A , class B >

int mfem::ComparePairs	(	const void *	_p,
		const void *	_q
	)

Compare the first element of the pairs.

Definition at line 20 of file sort_pairs.cpp.

template int mfem::ComparePairs< double, int >	(	const void *	,
		const void *
	)

template int mfem::ComparePairs< int, double >	(	const void *	,
		const void *
	)

template int mfem::ComparePairs< int, int >	(	const void *	,
		const void *
	)

template<class A , class B , class C >

int mfem::CompareTriple	(	const void *	_p,
		const void *	_q
	)

Definition at line 48 of file sort_pairs.hpp.

void mfem::ComputeFlux	(	BilinearFormIntegrator &	blfi,
		GridFunction &	u,
		GridFunction &	flux,
		int	wcoef,
		int	sd
	)

Definition at line 1984 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.

Definition at line 303 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.

Definition at line 329 of file coefficient.cpp.

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

Compute the Lp norm of a function f.

Definition at line 268 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.

Definition at line 285 of file coefficient.cpp.

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

inline

Definition at line 1278 of file ncmesh.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 4580 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 297 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 760 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 618 of file densemat.cpp.

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

inline

Definition at line 898 of file densemat.cpp.

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

inline

Definition at line 883 of file densemat.cpp.

void mfem::EliminateBC	(	HypreParMatrix &	A,
		HypreParMatrix &	Ae,
		Array< int > &	ess_dof_list,
		HypreParVector &	x,
		HypreParVector &	b
	)

Eliminate essential b.c. specified by ess_dof_list from the solution x to the r.h.s. b. Here A is matrix with eliminated b.c., while Ae is such that (A+Ae) is the original (Neumann) matrix before elimination.

Definition at line 827 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 8274 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 2109 of file gridfunc.cpp.

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

Definition at line 4468 of file mesh.cpp.

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

Definition at line 4660 of file mesh.cpp.

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

Definition at line 4789 of file mesh.cpp.

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

inline

Definition at line 439 of file solvers.cpp.

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

inline

Definition at line 1435 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 376 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 761 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 778 of file solvers.cpp.

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

Definition at line 167 of file hypre.cpp.

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

Returns the inner product of x and y.

Definition at line 172 of file hypre.cpp.

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

Definition at line 954 of file nurbs.cpp.

int mfem::isValidAsDouble

(

char *

s

)

Definition at line 42 of file optparser.cpp.

int mfem::isValidAsInt

(

char *

s

)

Definition at line 21 of file optparser.cpp.

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

inline

Definition at line 968 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 1105 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 1210 of file densemat.cpp.

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

Definition at line 201 of file coefficient.cpp.

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

Definition at line 230 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 1074 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 1086 of file solvers.cpp.

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

C = A * B (as boolean matrices)

Definition at line 351 of file table.cpp.

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

Definition at line 418 of file table.cpp.

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

Multiply BlockMatrix matrices: result = A*B.

Definition at line 463 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 2284 of file sparsemat.cpp.

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

Matrix matrix multiplication. A = B * C.

Definition at line 2445 of file densemat.cpp.

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

AAt = a * A * A^t.

Definition at line 2986 of file densemat.cpp.

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

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

Definition at line 2529 of file sparsemat.cpp.

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

Calculate the matrix A.At.

Definition at line 2732 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 2410 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 2782 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 2768 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 2912 of file densemat.cpp.

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

Make a matrix from a vector V.Vt.

Definition at line 2998 of file densemat.cpp.

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

Definition at line 3007 of file densemat.cpp.

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 1977 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 8243 of file mesh.cpp.

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 896 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 859 of file hypre.cpp.

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

Returns the matrix A * B.

Definition at line 771 of file hypre.cpp.

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

Definition at line 92 of file optparser.cpp.

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

Definition at line 101 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 424 of file solvers.cpp.

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

Returns the matrix P^t * A * P.

Definition at line 781 of file hypre.cpp.

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

Returns the matrix Rt^t * A * P.

Definition at line 800 of file hypre.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 2507 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 2518 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 1321 of file densemat.cpp.

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

Definition at line 999 of file nurbs.cpp.

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

Definition at line 1761 of file mesh.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 250 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 263 of file solvers.cpp.

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

inline

Definition at line 33 of file stable3d.cpp.

template<class A , class B >

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

Sort with respect to the first element.

Definition at line 33 of file sort_pairs.cpp.

template void mfem::SortPairs< double, int >	(	Pair< double, int > *	,
		int
	)

template void mfem::SortPairs< int, double >	(	Pair< int, double > *	,
		int
	)

template void mfem::SortPairs< int, int >	(	Pair< int, int > *	,
		int
	)

template<class A , class B , class C >

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

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 2142 of file sparsemat.cpp.

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

Definition at line 341 of file vector.cpp.

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

Definition at line 359 of file vector.cpp.

template<class T >

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

inline

Definition at line 284 of file array.hpp.

template<class T >

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

inline

Definition at line 498 of file array.hpp.

void mfem::swap	(	Vector *	v1,
		Vector *	v2
	)

Definition at line 213 of file vector.cpp.

template<class T >

void mfem::Swap ( T &  a, T &  b  )

inline

Definition at line 276 of file array.hpp.

void mfem::Swap	(	SparseMatrix &	A,
		SparseMatrix &	B
	)

Definition at line 2657 of file sparsemat.cpp.

void mfem::tic

(

)

Start timing.

Definition at line 332 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 338 of file tic_toc.cpp.

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

Transpose a Table.

Definition at line 305 of file table.cpp.

Table * mfem::Transpose

(

const Table &

A

)

Definition at line 333 of file table.cpp.

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

Transpose an Array<int>

Definition at line 340 of file table.cpp.

BlockMatrix * mfem::Transpose

(

const BlockMatrix &

A

)

Transpose a BlockMatrix: result = A'.

Definition at line 451 of file blockmatrix.cpp.

SparseMatrix * mfem::Transpose

(

const SparseMatrix &

A

)

Transpose of a sparse matrix. A must be finalized.

Definition at line 2153 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 2207 of file sparsemat.cpp.

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

inline

Definition at line 468 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 940 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 923 of file densemat.cpp.

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

Definition at line 3037 of file mesh.cpp.

void mfem::ZZErrorEstimator	(	BilinearFormIntegrator &	blfi,
		GridFunction &	u,
		GridFunction &	flux,
		Vector &	ErrorEstimates,
		int	wsd
	)

Definition at line 2041 of file gridfunc.cpp.

Variable Documentation

MemAlloc<BisectedElement, 1024> mfem::BEMemory

Geometry mfem::Geometries

Definition at line 267 of file geom.cpp.

GeometryRefiner mfem::GlobGeometryRefiner

Definition at line 706 of file geom.cpp.

TriLinear3DFiniteElement mfem::HexahedronFE

Definition at line 60 of file hexahedron.cpp.

IntegrationRules mfem::IntRules

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

Definition at line 264 of file intrules.hpp.

PointFiniteElement mfem::PointFE

Definition at line 28 of file point.cpp.

Poly_1D mfem::poly1d

Definition at line 6269 of file fe.cpp.

BiLinear2DFiniteElement mfem::QuadrilateralFE

Definition at line 49 of file quadrilateral.cpp.

IntegrationRules mfem::RefinedIntRules

A global object with all refined integration rules.

Definition at line 267 of file intrules.hpp.

Linear1DFiniteElement mfem::SegmentFE

Definition at line 41 of file segment.cpp.

Linear3DFiniteElement mfem::TetrahedronFE

Definition at line 265 of file tetrahedron.cpp.

StopWatch mfem::tic_toc

Definition at line 330 of file tic_toc.cpp.

Linear2DFiniteElement mfem::TriangleFE

Definition at line 127 of file triangle.cpp.