Class FiniteElementSpace - responsible for providing FEM view of the mesh, mainly managing the set of degrees of freedom. More...

#include <fespace.hpp>

Inheritance diagram for mfem::FiniteElementSpace:

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Collaboration diagram for mfem::FiniteElementSpace:

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Classes
class	DerefinementOperator

struct	key_hash

class	RefinementOperator
	GridFunction interpolation operator applicable after mesh refinement. More...

Public Member Functions
	FiniteElementSpace ()
	Default constructor: the object is invalid until initialized using the method Load(). More...

	FiniteElementSpace (const FiniteElementSpace &orig, Mesh mesh=NULL, const FiniteElementCollection fec=NULL)
	Copy constructor: deep copy all data from orig except the Mesh, the FiniteElementCollection, ans some derived data. More...

	FiniteElementSpace (Mesh mesh, const FiniteElementCollection fec, int vdim=1, int ordering=Ordering::byNODES)

	FiniteElementSpace (Mesh mesh, NURBSExtension ext, const FiniteElementCollection *fec, int vdim=1, int ordering=Ordering::byNODES)
	Construct a NURBS FE space based on the given NURBSExtension, ext. More...

Mesh *	GetMesh () const
	Returns the mesh. More...

const NURBSExtension *	GetNURBSext () const

NURBSExtension *	GetNURBSext ()

NURBSExtension *	StealNURBSext ()

bool	Conforming () const

bool	Nonconforming () const

const SparseMatrix *	GetConformingProlongation () const
	The returned SparseMatrix is owned by the FiniteElementSpace. More...

const SparseMatrix *	GetConformingRestriction () const
	The returned SparseMatrix is owned by the FiniteElementSpace. More...

virtual const Operator *	GetProlongationMatrix () const
	The returned Operator is owned by the FiniteElementSpace. More...

virtual const SparseMatrix *	GetRestrictionMatrix () const
	The returned SparseMatrix is owned by the FiniteElementSpace. More...

const Operator *	GetElementRestriction (ElementDofOrdering e_ordering) const
	Return an Operator that converts L-vectors to E-vectors. More...

virtual const Operator *	GetFaceRestriction (ElementDofOrdering e_ordering, FaceType, L2FaceValues mul=L2FaceValues::DoubleValued) const
	Return an Operator that converts L-vectors to E-vectors on each face. More...

const QuadratureInterpolator *	GetQuadratureInterpolator (const IntegrationRule &ir) const
	Return a QuadratureInterpolator that interpolates E-vectors to quadrature point values and/or derivatives (Q-vectors). More...

const QuadratureInterpolator *	GetQuadratureInterpolator (const QuadratureSpace &qs) const
	Return a QuadratureInterpolator that interpolates E-vectors to quadrature point values and/or derivatives (Q-vectors). More...

const FaceQuadratureInterpolator *	GetFaceQuadratureInterpolator (const IntegrationRule &ir, FaceType type) const
	Return a FaceQuadratureInterpolator that interpolates E-vectors to quadrature point values and/or derivatives (Q-vectors). More...

int	GetVDim () const
	Returns vector dimension. More...

int	GetOrder (int i) const
	Returns the order of the i'th finite element. More...

int	GetFaceOrder (int i) const
	Returns the order of the i'th face finite element. More...

int	GetNDofs () const
	Returns number of degrees of freedom. More...

int	GetVSize () const
	Return the number of vector dofs, i.e. GetNDofs() x GetVDim(). More...

virtual int	GetTrueVSize () const
	Return the number of vector true (conforming) dofs. More...

int	GetNConformingDofs () const

int	GetConformingVSize () const

Ordering::Type	GetOrdering () const
	Return the ordering method. More...

const FiniteElementCollection *	FEColl () const

int	GetNVDofs () const
	Number of all scalar vertex dofs. More...

int	GetNEDofs () const
	Number of all scalar edge-interior dofs. More...

int	GetNFDofs () const
	Number of all scalar face-interior dofs. More...

int	GetNV () const
	Returns number of vertices in the mesh. More...

int	GetNE () const
	Returns number of elements in the mesh. More...

int	GetNF () const
	Returns number of faces (i.e. co-dimension 1 entities) in the mesh. More...

int	GetNBE () const
	Returns number of boundary elements in the mesh. More...

int	GetNFbyType (FaceType type) const
	Returns the number of faces according to the requested type. More...

int	GetElementType (int i) const
	Returns the type of element i. More...

void	GetElementVertices (int i, Array< int > &vertices) const
	Returns the vertices of element i. More...

int	GetBdrElementType (int i) const
	Returns the type of boundary element i. More...

ElementTransformation *	GetElementTransformation (int i) const
	Returns ElementTransformation for the i-th element. More...

void	GetElementTransformation (int i, IsoparametricTransformation *ElTr)
	Returns the transformation defining the i-th element in the user-defined variable ElTr. More...

ElementTransformation *	GetBdrElementTransformation (int i) const
	Returns ElementTransformation for the i-th boundary element. More...

int	GetAttribute (int i) const

int	GetBdrAttribute (int i) const

virtual void	GetElementDofs (int i, Array< int > &dofs) const
	Returns indexes of degrees of freedom in array dofs for i'th element. More...

virtual void	GetBdrElementDofs (int i, Array< int > &dofs) const
	Returns indexes of degrees of freedom for i'th boundary element. More...

virtual void	GetFaceDofs (int i, Array< int > &dofs) const

void	GetEdgeDofs (int i, Array< int > &dofs) const

void	GetVertexDofs (int i, Array< int > &dofs) const

void	GetElementInteriorDofs (int i, Array< int > &dofs) const

void	GetFaceInteriorDofs (int i, Array< int > &dofs) const

int	GetNumElementInteriorDofs (int i) const

void	GetEdgeInteriorDofs (int i, Array< int > &dofs) const

void	DofsToVDofs (Array< int > &dofs, int ndofs=-1) const

void	DofsToVDofs (int vd, Array< int > &dofs, int ndofs=-1) const

int	DofToVDof (int dof, int vd, int ndofs=-1) const

int	VDofToDof (int vdof) const

void	GetElementVDofs (int i, Array< int > &vdofs) const
	Returns indexes of degrees of freedom in array dofs for i'th element. More...

void	GetBdrElementVDofs (int i, Array< int > &vdofs) const
	Returns indexes of degrees of freedom for i'th boundary element. More...

void	GetFaceVDofs (int i, Array< int > &vdofs) const
	Returns indexes of degrees of freedom for i'th face element (2D and 3D). More...

void	GetEdgeVDofs (int i, Array< int > &vdofs) const
	Returns indexes of degrees of freedom for i'th edge. More...

void	GetVertexVDofs (int i, Array< int > &vdofs) const

void	GetElementInteriorVDofs (int i, Array< int > &vdofs) const

void	GetEdgeInteriorVDofs (int i, Array< int > &vdofs) const

void	RebuildElementToDofTable ()

void	ReorderElementToDofTable ()
	Reorder the scalar DOFs based on the element ordering. More...

void	BuildDofToArrays ()

const Table &	GetElementToDofTable () const

const Table &	GetBdrElementToDofTable () const

int	GetElementForDof (int i) const

int	GetLocalDofForDof (int i) const

const FiniteElement *	GetFE (int i) const
	Returns pointer to the FiniteElement associated with i'th element. More...

const FiniteElement *	GetBE (int i) const
	Returns pointer to the FiniteElement for the i'th boundary element. More...

const FiniteElement *	GetFaceElement (int i) const

const FiniteElement *	GetEdgeElement (int i) const

const FiniteElement *	GetTraceElement (int i, Geometry::Type geom_type) const
	Return the trace element from element 'i' to the given 'geom_type'. More...

virtual void	GetEssentialVDofs (const Array< int > &bdr_attr_is_ess, Array< int > &ess_vdofs, int component=-1) const

virtual void	GetEssentialTrueDofs (const Array< int > &bdr_attr_is_ess, Array< int > &ess_tdof_list, int component=-1)

void	ConvertToConformingVDofs (const Array< int > &dofs, Array< int > &cdofs)

void	ConvertFromConformingVDofs (const Array< int > &cdofs, Array< int > &dofs)

SparseMatrix *	D2C_GlobalRestrictionMatrix (FiniteElementSpace *cfes)

SparseMatrix *	D2Const_GlobalRestrictionMatrix (FiniteElementSpace *cfes)

SparseMatrix *	H2L_GlobalRestrictionMatrix (FiniteElementSpace *lfes)

void	GetTransferOperator (const FiniteElementSpace &coarse_fes, OperatorHandle &T) const
	Construct and return an Operator that can be used to transfer GridFunction data from coarse_fes, defined on a coarse mesh, to this FE space, defined on a refined mesh. More...

virtual void	GetTrueTransferOperator (const FiniteElementSpace &coarse_fes, OperatorHandle &T) const
	Construct and return an Operator that can be used to transfer true-dof data from coarse_fes, defined on a coarse mesh, to this FE space, defined on a refined mesh. More...

virtual void	Update (bool want_transform=true)

const Operator *	GetUpdateOperator ()
	Get the GridFunction update operator. More...

void	GetUpdateOperator (OperatorHandle &T)
	Return the update operator in the given OperatorHandle, T. More...

void	SetUpdateOperatorOwner (bool own)
	Set the ownership of the update operator: if set to false, the Operator returned by GetUpdateOperator() must be deleted outside the FiniteElementSpace. More...

void	SetUpdateOperatorType (Operator::Type tid)
	Specify the Operator::Type to be used by the update operators. More...

virtual void	UpdatesFinished ()
	Free the GridFunction update operator (if any), to save memory. More...

long	GetSequence () const
	Return update counter (see Mesh::sequence) More...

void	Save (std::ostream &out) const

FiniteElementCollection *	Load (Mesh *m, std::istream &input)
	Read a FiniteElementSpace from a stream. The returned FiniteElementCollection is owned by the caller. More...

virtual	~FiniteElementSpace ()

Static Public Member Functions
static void	AdjustVDofs (Array< int > &vdofs)

static void	MarkerToList (const Array< int > &marker, Array< int > &list)
	Convert a Boolean marker array to a list containing all marked indices. More...

static void	ListToMarker (const Array< int > &list, int marker_size, Array< int > &marker, int mark_val=-1)

Protected Types
using	key_face = std::tuple< bool, ElementDofOrdering, FaceType, L2FaceValues >
	The face restriction operators, see GetFaceRestriction(). More...

using	map_L2F = std::unordered_map< const key_face, Operator *, key_hash >

Protected Member Functions
void	UpdateNURBS ()

void	Construct ()

void	Destroy ()

void	BuildElementToDofTable () const

void	GetEntityDofs (int entity, int index, Array< int > &dofs, Geometry::Type master_geom=Geometry::INVALID) const
	Helper to get vertex, edge or face DOFs (entity=0,1,2 resp.). More...

void	GetDegenerateFaceDofs (int index, Array< int > &dofs, Geometry::Type master_geom) const

void	BuildConformingInterpolation () const
	Calculate the cP and cR matrices for a nonconforming mesh. More...

void	MakeVDimMatrix (SparseMatrix &mat) const
	Replicate 'mat' in the vector dimension, according to vdim ordering mode. More...

SparseMatrix *	RefinementMatrix_main (const int coarse_ndofs, const Table &coarse_elem_dof, const DenseTensor localP[]) const

void	GetLocalRefinementMatrices (Geometry::Type geom, DenseTensor &localP) const

void	GetLocalDerefinementMatrices (Geometry::Type geom, DenseTensor &localR) const

SparseMatrix *	RefinementMatrix (int old_ndofs, const Table *old_elem_dof)

SparseMatrix *	DerefinementMatrix (int old_ndofs, const Table *old_elem_dof)
	Calculate GridFunction restriction matrix after mesh derefinement. More...

void	GetLocalRefinementMatrices (const FiniteElementSpace &coarse_fes, Geometry::Type geom, DenseTensor &localP) const

void	Constructor (Mesh mesh, NURBSExtension ext, const FiniteElementCollection *fec, int vdim=1, int ordering=Ordering::byNODES)
	Help function for constructors + Load(). More...

Static Protected Member Functions
static int	DecodeDof (int dof, double &sign)
	Helper to remove encoded sign from a DOF. More...

static void	AddDependencies (SparseMatrix &deps, Array< int > &master_dofs, Array< int > &slave_dofs, DenseMatrix &I)

static bool	DofFinalizable (int dof, const Array< bool > &finalized, const SparseMatrix &deps)

Protected Attributes
Mesh *	mesh
	The mesh that FE space lives on (not owned). More...

const FiniteElementCollection *	fec
	Associated FE collection (not owned). More...

int	vdim
	Vector dimension (number of unknowns per degree of freedom). More...

Ordering::Type	ordering

int	ndofs
	Number of degrees of freedom. Number of unknowns is ndofs * vdim. More...

int	nvdofs

int	nedofs

int	nfdofs

int	nbdofs

int *	fdofs

int *	bdofs

Table *	elem_dof

Table *	bdrElem_dof

Array< int >	dof_elem_array

Array< int >	dof_ldof_array

NURBSExtension *	NURBSext

int	own_ext

SparseMatrix *	cP

SparseMatrix *	cR
	Conforming restriction matrix such that cR.cP=I. More...

bool	cP_is_set

OperatorHandle	Th
	Transformation to apply to GridFunctions after space Update(). More...

OperatorHandle	L2E_nat
	The element restriction operators, see GetElementRestriction(). More...

OperatorHandle	L2E_lex

map_L2F	L2F

Array< QuadratureInterpolator * >	E2Q_array

Array < FaceQuadratureInterpolator * >	E2IFQ_array

Array < FaceQuadratureInterpolator * >	E2BFQ_array

long	sequence

Friends
class	InterpolationGridTransfer

Detailed Description

Class FiniteElementSpace - responsible for providing FEM view of the mesh, mainly managing the set of degrees of freedom.

Definition at line 87 of file fespace.hpp.

Member Typedef Documentation

using mfem::FiniteElementSpace::key_face = std::tuple<bool, ElementDofOrdering, FaceType, L2FaceValues>

protected

The face restriction operators, see GetFaceRestriction().

Definition at line 134 of file fespace.hpp.

using mfem::FiniteElementSpace::map_L2F = std::unordered_map<const key_face,Operator*,key_hash>

protected

Definition at line 145 of file fespace.hpp.

Constructor & Destructor Documentation

mfem::FiniteElementSpace::FiniteElementSpace ( )

Default constructor: the object is invalid until initialized using the method Load().

Definition at line 59 of file fespace.cpp.

mfem::FiniteElementSpace::FiniteElementSpace	(	const FiniteElementSpace &	orig,
		Mesh *	mesh = `NULL`,
		const FiniteElementCollection *	fec = `NULL`
	)

Copy constructor: deep copy all data from orig except the Mesh, the FiniteElementCollection, ans some derived data.

If the mesh or fec pointers are NULL (default), then the new FiniteElementSpace will reuse the respective pointers from orig. If any of these pointers is not NULL, the given pointer will be used instead of the one used by orig.

Note: The objects pointed to by the mesh and fec parameters must be either the same objects as the ones used by orig, or copies of them. Otherwise, the behavior is undefined.; Derived data objects, such as the conforming prolongation and restriction matrices, and the update operator, will not be copied, even if they are created in the orig object.

Definition at line 70 of file fespace.cpp.

mfem::FiniteElementSpace::FiniteElementSpace	(	Mesh *	mesh,
		const FiniteElementCollection *	fec,
		int	vdim = `1`,
		int	ordering = `Ordering::byNODES`
	)

inline

Definition at line 280 of file fespace.hpp.

mfem::FiniteElementSpace::FiniteElementSpace	(	Mesh *	mesh,
		NURBSExtension *	ext,
		const FiniteElementCollection *	fec,
		int	vdim = `1`,
		int	ordering = `Ordering::byNODES`
	)

inline

Construct a NURBS FE space based on the given NURBSExtension, ext.

Note: If the pointer ext is NULL, this constructor is equivalent to the standard constructor with the same arguments minus the NURBSExtension, ext.

Definition at line 289 of file fespace.hpp.

mfem::FiniteElementSpace::~FiniteElementSpace ( )

virtual

Definition at line 1942 of file fespace.cpp.

Member Function Documentation

void mfem::FiniteElementSpace::AddDependencies	(	SparseMatrix &	deps,
		Array< int > &	master_dofs,
		Array< int > &	slave_dofs,
		DenseMatrix &	I
	)

staticprotected

Definition at line 532 of file fespace.cpp.

void mfem::FiniteElementSpace::AdjustVDofs ( Array< int > & vdofs )

static

Definition at line 159 of file fespace.cpp.

void mfem::FiniteElementSpace::BuildConformingInterpolation ( ) const

protected

Calculate the cP and cR matrices for a nonconforming mesh.

Definition at line 621 of file fespace.cpp.

void mfem::FiniteElementSpace::BuildDofToArrays ( )

Definition at line 263 of file fespace.cpp.

void mfem::FiniteElementSpace::BuildElementToDofTable ( ) const

protected

Definition at line 214 of file fespace.cpp.

bool mfem::FiniteElementSpace::Conforming ( ) const

inline

Definition at line 301 of file fespace.hpp.

void mfem::FiniteElementSpace::Construct ( )

protected

Definition at line 1475 of file fespace.cpp.

void mfem::FiniteElementSpace::Constructor	(	Mesh *	mesh,
		NURBSExtension *	ext,
		const FiniteElementCollection *	fec,
		int	vdim = `1`,
		int	ordering = `Ordering::byNODES`
	)

protected

Help function for constructors + Load().

Definition at line 1402 of file fespace.cpp.

void mfem::FiniteElementSpace::ConvertFromConformingVDofs	(	const Array< int > &	cdofs,
		Array< int > &	dofs
	)

For a partially conforming FE space, convert a marker array (nonzero entries are true) on the conforming dofs to a marker array on the (partially conforming) dofs. A dof is marked iff it depends on a marked conforming dofs, where dependency is defined by the ConformingRestriction matrix; in other words, a dof is marked iff it corresponds to a marked conforming dof.

Definition at line 422 of file fespace.cpp.

void mfem::FiniteElementSpace::ConvertToConformingVDofs	(	const Array< int > &	dofs,
		Array< int > &	cdofs
	)

For a partially conforming FE space, convert a marker array (nonzero entries are true) on the partially conforming dofs to a marker array on the conforming dofs. A conforming dofs is marked iff at least one of its dependent dofs is marked.

Definition at line 414 of file fespace.cpp.

SparseMatrix * mfem::FiniteElementSpace::D2C_GlobalRestrictionMatrix ( FiniteElementSpace * cfes )

Generate the global restriction matrix from a discontinuous FE space to the continuous FE space of the same polynomial degree.

Definition at line 431 of file fespace.cpp.

SparseMatrix * mfem::FiniteElementSpace::D2Const_GlobalRestrictionMatrix ( FiniteElementSpace * cfes )

Generate the global restriction matrix from a discontinuous FE space to the piecewise constant FE space.

Definition at line 463 of file fespace.cpp.

static int mfem::FiniteElementSpace::DecodeDof	(	int	dof,
		double &	sign
	)

inlinestaticprotected

Helper to remove encoded sign from a DOF.

Definition at line 162 of file fespace.hpp.

SparseMatrix * mfem::FiniteElementSpace::DerefinementMatrix	(	int	old_ndofs,
		const Table *	old_elem_dof
	)

protected

Calculate GridFunction restriction matrix after mesh derefinement.

Definition at line 1303 of file fespace.cpp.

void mfem::FiniteElementSpace::Destroy ( )

protected

Definition at line 1947 of file fespace.cpp.

bool mfem::FiniteElementSpace::DofFinalizable	(	int	dof,
		const Array< bool > &	finalized,
		const SparseMatrix &	deps
	)

staticprotected

Definition at line 556 of file fespace.cpp.

void mfem::FiniteElementSpace::DofsToVDofs	(	Array< int > &	dofs,
		int	ndofs = `-1`
	)		const

Definition at line 107 of file fespace.cpp.

void mfem::FiniteElementSpace::DofsToVDofs	(	int	vd,
		Array< int > &	dofs,
		int	ndofs = `-1`
	)		const

Definition at line 122 of file fespace.cpp.

int mfem::FiniteElementSpace::DofToVDof	(	int	dof,
		int	vd,
		int	ndofs = `-1`
	)		const

Definition at line 143 of file fespace.cpp.

const FiniteElementCollection* mfem::FiniteElementSpace::FEColl ( ) const

inline

Definition at line 395 of file fespace.hpp.

int mfem::FiniteElementSpace::GetAttribute ( int i ) const

inline

Definition at line 453 of file fespace.hpp.

int mfem::FiniteElementSpace::GetBdrAttribute ( int i ) const

inline

Definition at line 455 of file fespace.hpp.

void mfem::FiniteElementSpace::GetBdrElementDofs	(	int	i,
		Array< int > &	dofs
	)		const

virtual

Returns indexes of degrees of freedom for i'th boundary element.

Reimplemented in mfem::ParFiniteElementSpace.

Definition at line 1659 of file fespace.cpp.

const Table& mfem::FiniteElementSpace::GetBdrElementToDofTable ( ) const

inline

Definition at line 525 of file fespace.hpp.

ElementTransformation* mfem::FiniteElementSpace::GetBdrElementTransformation ( int i ) const

inline

Returns ElementTransformation for the i-th boundary element.

Definition at line 450 of file fespace.hpp.

int mfem::FiniteElementSpace::GetBdrElementType ( int i ) const

inline

Returns the type of boundary element i.

Definition at line 437 of file fespace.hpp.

void mfem::FiniteElementSpace::GetBdrElementVDofs	(	int	i,
		Array< int > &	vdofs
	)		const

Returns indexes of degrees of freedom for i'th boundary element.

Definition at line 178 of file fespace.cpp.

const FiniteElement * mfem::FiniteElementSpace::GetBE ( int i ) const

Returns pointer to the FiniteElement for the i'th boundary element.

Definition at line 1882 of file fespace.cpp.

const SparseMatrix * mfem::FiniteElementSpace::GetConformingProlongation ( ) const

The returned SparseMatrix is owned by the FiniteElementSpace.

Definition at line 813 of file fespace.cpp.

const SparseMatrix * mfem::FiniteElementSpace::GetConformingRestriction ( ) const

The returned SparseMatrix is owned by the FiniteElementSpace.

Definition at line 820 of file fespace.cpp.

int mfem::FiniteElementSpace::GetConformingVSize ( ) const

inline

Definition at line 390 of file fespace.hpp.

void mfem::FiniteElementSpace::GetDegenerateFaceDofs	(	int	index,
		Array< int > &	dofs,
		Geometry::Type	master_geom
	)		const

protected

Definition at line 570 of file fespace.cpp.

void mfem::FiniteElementSpace::GetEdgeDofs	(	int	i,
		Array< int > &	dofs
	)		const

Returns the indexes of the degrees of freedom for i'th edge including the dofs for the vertices of the edge.

Definition at line 1801 of file fespace.cpp.

const FiniteElement * mfem::FiniteElementSpace::GetEdgeElement ( int i ) const

Definition at line 1931 of file fespace.cpp.

void mfem::FiniteElementSpace::GetEdgeInteriorDofs	(	int	i,
		Array< int > &	dofs
	)		const

Definition at line 1855 of file fespace.cpp.

void mfem::FiniteElementSpace::GetEdgeInteriorVDofs	(	int	i,
		Array< int > &	vdofs
	)		const

Definition at line 208 of file fespace.cpp.

void mfem::FiniteElementSpace::GetEdgeVDofs	(	int	i,
		Array< int > &	vdofs
	)		const

Returns indexes of degrees of freedom for i'th edge.

Definition at line 190 of file fespace.cpp.

void mfem::FiniteElementSpace::GetElementDofs	(	int	i,
		Array< int > &	dofs
	)		const

virtual

Returns indexes of degrees of freedom in array dofs for i'th element.

Reimplemented in mfem::ParFiniteElementSpace.

Definition at line 1540 of file fespace.cpp.

int mfem::FiniteElementSpace::GetElementForDof ( int i ) const

inline

Definition at line 527 of file fespace.hpp.

void mfem::FiniteElementSpace::GetElementInteriorDofs	(	int	i,
		Array< int > &	dofs
	)		const

Definition at line 1842 of file fespace.cpp.

void mfem::FiniteElementSpace::GetElementInteriorVDofs	(	int	i,
		Array< int > &	vdofs
	)		const

Definition at line 202 of file fespace.cpp.

const Operator * mfem::FiniteElementSpace::GetElementRestriction ( ElementDofOrdering e_ordering ) const

Return an Operator that converts L-vectors to E-vectors.

An L-vector is a vector of size GetVSize() which is the same size as a GridFunction. An E-vector represents the element-wise discontinuous version of the FE space.

The layout of the E-vector is: ND x VDIM x NE, where ND is the number of degrees of freedom, VDIM is the vector dimension of the FE space, and NE is the number of the mesh elements.

The parameter e_ordering describes how the local DOFs in each element should be ordered, see ElementDofOrdering.

For discontinuous spaces, the element restriction corresponds to a permutation of the degrees of freedom, implemented by the L2ElementRestriction class.

The returned Operator is owned by the FiniteElementSpace.

Definition at line 833 of file fespace.cpp.

const Table& mfem::FiniteElementSpace::GetElementToDofTable ( ) const

inline

Definition at line 524 of file fespace.hpp.

ElementTransformation* mfem::FiniteElementSpace::GetElementTransformation ( int i ) const

inline

Returns ElementTransformation for the i-th element.

Definition at line 441 of file fespace.hpp.

void mfem::FiniteElementSpace::GetElementTransformation	(	int	i,
		IsoparametricTransformation *	ElTr
	)

inline

Returns the transformation defining the i-th element in the user-defined variable ElTr.

Definition at line 446 of file fespace.hpp.

int mfem::FiniteElementSpace::GetElementType ( int i ) const

inline

Returns the type of element i.

Definition at line 429 of file fespace.hpp.

void mfem::FiniteElementSpace::GetElementVDofs	(	int	i,
		Array< int > &	vdofs
	)		const

Returns indexes of degrees of freedom in array dofs for i'th element.

Definition at line 172 of file fespace.cpp.

void mfem::FiniteElementSpace::GetElementVertices	(	int	i,
		Array< int > &	vertices
	)		const

inline

Returns the vertices of element i.

Definition at line 433 of file fespace.hpp.

void mfem::FiniteElementSpace::GetEntityDofs	(	int	entity,
		int	index,
		Array< int > &	dofs,
		Geometry::Type	master_geom = `Geometry::INVALID`
	)		const

protected

Helper to get vertex, edge or face DOFs (entity=0,1,2 resp.).

Definition at line 608 of file fespace.cpp.

void mfem::FiniteElementSpace::GetEssentialTrueDofs	(	const Array< int > &	bdr_attr_is_ess,
		Array< int > &	ess_tdof_list,
		int	component = `-1`
	)

virtual

Get a list of essential true dofs, ess_tdof_list, corresponding to the boundary attributes marked in the array bdr_attr_is_ess. For spaces with 'vdim' > 1, the 'component' parameter can be used to restricts the marked tDOFs to the specified component.

Reimplemented in mfem::ParFiniteElementSpace.

Definition at line 366 of file fespace.cpp.

void mfem::FiniteElementSpace::GetEssentialVDofs	(	const Array< int > &	bdr_attr_is_ess,
		Array< int > &	ess_vdofs,
		int	component = `-1`
	)		const

virtual

Mark degrees of freedom associated with boundary elements with the specified boundary attributes (marked in 'bdr_attr_is_ess'). For spaces with 'vdim' > 1, the 'component' parameter can be used to restricts the marked vDOFs to the specified component.

Reimplemented in mfem::ParFiniteElementSpace.

Definition at line 297 of file fespace.cpp.

void mfem::FiniteElementSpace::GetFaceDofs	(	int	i,
		Array< int > &	dofs
	)		const

virtual

Returns the indexes of the degrees of freedom for i'th face including the dofs for the edges and the vertices of the face.

Reimplemented in mfem::ParFiniteElementSpace.

Definition at line 1742 of file fespace.cpp.

const FiniteElement * mfem::FiniteElementSpace::GetFaceElement ( int i ) const

Definition at line 1908 of file fespace.cpp.

void mfem::FiniteElementSpace::GetFaceInteriorDofs	(	int	i,
		Array< int > &	dofs
	)		const

Definition at line 1867 of file fespace.cpp.

int mfem::FiniteElementSpace::GetFaceOrder ( int i ) const

Returns the order of the i'th face finite element.

Definition at line 101 of file fespace.cpp.

const FaceQuadratureInterpolator * mfem::FiniteElementSpace::GetFaceQuadratureInterpolator	(	const IntegrationRule &	ir,
		FaceType	type
	)		const

Return a FaceQuadratureInterpolator that interpolates E-vectors to quadrature point values and/or derivatives (Q-vectors).

Definition at line 919 of file fespace.cpp.

const Operator * mfem::FiniteElementSpace::GetFaceRestriction	(	ElementDofOrdering	e_ordering,
		FaceType	type,
		L2FaceValues	mul = `L2FaceValues::DoubleValued`
	)		const

virtual

Return an Operator that converts L-vectors to E-vectors on each face.

Reimplemented in mfem::ParFiniteElementSpace.

Definition at line 862 of file fespace.cpp.

void mfem::FiniteElementSpace::GetFaceVDofs	(	int	i,
		Array< int > &	vdofs
	)		const

Returns indexes of degrees of freedom for i'th face element (2D and 3D).

Definition at line 184 of file fespace.cpp.

const FiniteElement * mfem::FiniteElementSpace::GetFE ( int i ) const

Returns pointer to the FiniteElement associated with i'th element.

Definition at line 1642 of file fespace.cpp.

void mfem::FiniteElementSpace::GetLocalDerefinementMatrices	(	Geometry::Type	geom,
		DenseTensor &	localR
	)		const

protected

Definition at line 1277 of file fespace.cpp.

int mfem::FiniteElementSpace::GetLocalDofForDof ( int i ) const

inline

Definition at line 528 of file fespace.hpp.

void mfem::FiniteElementSpace::GetLocalRefinementMatrices	(	Geometry::Type	geom,
		DenseTensor &	localP
	)		const

protected

Definition at line 1012 of file fespace.cpp.

void mfem::FiniteElementSpace::GetLocalRefinementMatrices	(	const FiniteElementSpace &	coarse_fes,
		Geometry::Type	geom,
		DenseTensor &	localP
	)		const

protected

Definition at line 1374 of file fespace.cpp.

Mesh* mfem::FiniteElementSpace::GetMesh ( ) const

inline

Returns the mesh.

Definition at line 295 of file fespace.hpp.

int mfem::FiniteElementSpace::GetNBE ( ) const

inline

Returns number of boundary elements in the mesh.

Definition at line 417 of file fespace.hpp.

int mfem::FiniteElementSpace::GetNConformingDofs ( ) const

Returns the number of conforming ("true") degrees of freedom (if the space is on a nonconforming mesh with hanging nodes).

Definition at line 827 of file fespace.cpp.

int mfem::FiniteElementSpace::GetNDofs ( ) const

inline

Returns number of degrees of freedom.

Definition at line 378 of file fespace.hpp.

int mfem::FiniteElementSpace::GetNE ( ) const

inline

Returns number of elements in the mesh.

Definition at line 408 of file fespace.hpp.

int mfem::FiniteElementSpace::GetNEDofs ( ) const

inline

Number of all scalar edge-interior dofs.

Definition at line 400 of file fespace.hpp.

int mfem::FiniteElementSpace::GetNF ( ) const

inline

Returns number of faces (i.e. co-dimension 1 entities) in the mesh.

The co-dimension 1 entities are those that have dimension 1 less than the mesh dimension, e.g. for a 2D mesh, the faces are the 1D entities, i.e. the edges.

Definition at line 414 of file fespace.hpp.

int mfem::FiniteElementSpace::GetNFbyType ( FaceType type ) const

inline

Returns the number of faces according to the requested type.

If type==Boundary returns only the "true" number of boundary faces contrary to GetNBE() that returns "fake" boundary faces associated to visualization for GLVis. Similarly, if type==Interior, the "fake" boundary faces associated to visualization are counted as interior faces.

Definition at line 425 of file fespace.hpp.

int mfem::FiniteElementSpace::GetNFDofs ( ) const

inline

Number of all scalar face-interior dofs.

Definition at line 402 of file fespace.hpp.

int mfem::FiniteElementSpace::GetNumElementInteriorDofs ( int i ) const

inline

Definition at line 477 of file fespace.hpp.

const NURBSExtension* mfem::FiniteElementSpace::GetNURBSext ( ) const

inline

Definition at line 297 of file fespace.hpp.

NURBSExtension* mfem::FiniteElementSpace::GetNURBSext ( )

inline

Definition at line 298 of file fespace.hpp.

int mfem::FiniteElementSpace::GetNV ( ) const

inline

Returns number of vertices in the mesh.

Definition at line 405 of file fespace.hpp.

int mfem::FiniteElementSpace::GetNVDofs ( ) const

inline

Number of all scalar vertex dofs.

Definition at line 398 of file fespace.hpp.

int mfem::FiniteElementSpace::GetOrder ( int i ) const

Returns the order of the i'th finite element.

Definition at line 95 of file fespace.cpp.

Ordering::Type mfem::FiniteElementSpace::GetOrdering ( ) const

inline

Return the ordering method.

Definition at line 393 of file fespace.hpp.

virtual const Operator* mfem::FiniteElementSpace::GetProlongationMatrix ( ) const

inlinevirtual

The returned Operator is owned by the FiniteElementSpace.

Reimplemented in mfem::ParFiniteElementSpace.

Definition at line 311 of file fespace.hpp.

const QuadratureInterpolator * mfem::FiniteElementSpace::GetQuadratureInterpolator ( const IntegrationRule & ir ) const

Return a QuadratureInterpolator that interpolates E-vectors to quadrature point values and/or derivatives (Q-vectors).

An E-vector represents the element-wise discontinuous version of the FE space and can be obtained, for example, from a GridFunction using the Operator returned by GetElementRestriction().

All elements will use the same IntegrationRule, ir as the target quadrature points.

Definition at line 890 of file fespace.cpp.

const QuadratureInterpolator * mfem::FiniteElementSpace::GetQuadratureInterpolator ( const QuadratureSpace & qs ) const

Return a QuadratureInterpolator that interpolates E-vectors to quadrature point values and/or derivatives (Q-vectors).

An E-vector represents the element-wise discontinuous version of the FE space and can be obtained, for example, from a GridFunction using the Operator returned by GetElementRestriction().

The target quadrature points in the elements are described by the given QuadratureSpace, qs.

Definition at line 904 of file fespace.cpp.

virtual const SparseMatrix* mfem::FiniteElementSpace::GetRestrictionMatrix ( ) const

inlinevirtual

The returned SparseMatrix is owned by the FiniteElementSpace.

Reimplemented in mfem::ParFiniteElementSpace.

Definition at line 315 of file fespace.hpp.

long mfem::FiniteElementSpace::GetSequence ( ) const

inline

Return update counter (see Mesh::sequence)

Definition at line 657 of file fespace.hpp.

const FiniteElement * mfem::FiniteElementSpace::GetTraceElement	(	int	i,
		Geometry::Type	geom_type
	)		const

Return the trace element from element 'i' to the given 'geom_type'.

Definition at line 1936 of file fespace.cpp.

void mfem::FiniteElementSpace::GetTransferOperator	(	const FiniteElementSpace &	coarse_fes,
		OperatorHandle &	T
	)		const

Construct and return an Operator that can be used to transfer GridFunction data from coarse_fes, defined on a coarse mesh, to this FE space, defined on a refined mesh.

It is assumed that the mesh of this FE space is a refinement of the mesh of coarse_fes and the CoarseFineTransformations returned by the method Mesh::GetRefinementTransforms() of the refined mesh are set accordingly. The Operator::Type of T can be set to request an Operator of the set type. Currently, only Operator::MFEM_SPARSEMAT and Operator::ANY_TYPE (matrix-free) are supported. When Operator::ANY_TYPE is requested, the choice of the particular Operator sub-class is left to the method. This method also works in parallel because the transfer operator is local to the MPI task when the input is a synchronized ParGridFunction.

Definition at line 1991 of file fespace.cpp.

void mfem::FiniteElementSpace::GetTrueTransferOperator	(	const FiniteElementSpace &	coarse_fes,
		OperatorHandle &	T
	)		const

virtual

Construct and return an Operator that can be used to transfer true-dof data from coarse_fes, defined on a coarse mesh, to this FE space, defined on a refined mesh.

This method calls GetTransferOperator() and multiplies the result by the prolongation operator of coarse_fes on the right, and by the restriction operator of this FE space on the left.

The Operator::Type of T can be set to request an Operator of the set type. In serial, the supported types are: Operator::MFEM_SPARSEMAT and Operator::ANY_TYPE (matrix-free). In parallel, the supported types are: Operator::Hypre_ParCSR and Operator::ANY_TYPE. Any other type is treated as Operator::ANY_TYPE: the operator representation choice is made by this method.

Reimplemented in mfem::ParFiniteElementSpace.

Definition at line 2016 of file fespace.cpp.

virtual int mfem::FiniteElementSpace::GetTrueVSize ( ) const

inlinevirtual

Return the number of vector true (conforming) dofs.

Reimplemented in mfem::ParFiniteElementSpace.

Definition at line 384 of file fespace.hpp.

const Operator* mfem::FiniteElementSpace::GetUpdateOperator ( )

inline

Get the GridFunction update operator.

Definition at line 633 of file fespace.hpp.

void mfem::FiniteElementSpace::GetUpdateOperator ( OperatorHandle & T )

inline

Return the update operator in the given OperatorHandle, T.

Definition at line 636 of file fespace.hpp.

int mfem::FiniteElementSpace::GetVDim ( ) const

inline

Returns vector dimension.

Definition at line 370 of file fespace.hpp.

void mfem::FiniteElementSpace::GetVertexDofs	(	int	i,
		Array< int > &	dofs
	)		const

Definition at line 1830 of file fespace.cpp.

void mfem::FiniteElementSpace::GetVertexVDofs	(	int	i,
		Array< int > &	vdofs
	)		const

Definition at line 196 of file fespace.cpp.

int mfem::FiniteElementSpace::GetVSize ( ) const

inline

Return the number of vector dofs, i.e. GetNDofs() x GetVDim().

Definition at line 381 of file fespace.hpp.

SparseMatrix * mfem::FiniteElementSpace::H2L_GlobalRestrictionMatrix ( FiniteElementSpace * lfes )

Construct the restriction matrix from the FE space given by (*this) to the lower degree FE space given by (*lfes) which is defined on the same mesh.

Definition at line 494 of file fespace.cpp.

void mfem::FiniteElementSpace::ListToMarker	(	const Array< int > &	list,
		int	marker_size,
		Array< int > &	marker,
		int	mark_val = `-1`
	)

static

Convert an array of indices (list) to a Boolean marker array where all indices in the list are marked with the given value and the rest are set to zero.

Definition at line 403 of file fespace.cpp.

FiniteElementCollection * mfem::FiniteElementSpace::Load	(	Mesh *	m,
		std::istream &	input
	)

Read a FiniteElementSpace from a stream. The returned FiniteElementCollection is owned by the caller.

Definition at line 2203 of file fespace.cpp.

void mfem::FiniteElementSpace::MakeVDimMatrix ( SparseMatrix & mat ) const

protected

Replicate 'mat' in the vector dimension, according to vdim ordering mode.

Definition at line 785 of file fespace.cpp.

void mfem::FiniteElementSpace::MarkerToList	(	const Array< int > &	marker,
		Array< int > &	list
	)

static

Convert a Boolean marker array to a list containing all marked indices.

Definition at line 385 of file fespace.cpp.

bool mfem::FiniteElementSpace::Nonconforming ( ) const

inline

Definition at line 302 of file fespace.hpp.

void mfem::FiniteElementSpace::RebuildElementToDofTable ( )

Definition at line 236 of file fespace.cpp.

SparseMatrix * mfem::FiniteElementSpace::RefinementMatrix	(	int	old_ndofs,
		const Table *	old_elem_dof
	)

protected

Calculate explicit GridFunction interpolation matrix (after mesh refinement). NOTE: consider using the RefinementOperator class instead of the fully assembled matrix, which can take a lot of memory.

Definition at line 1036 of file fespace.cpp.

SparseMatrix * mfem::FiniteElementSpace::RefinementMatrix_main	(	const int	coarse_ndofs,
		const Table &	coarse_elem_dof,
		const DenseTensor	localP[]
	)		const

protected

Definition at line 950 of file fespace.cpp.

void mfem::FiniteElementSpace::ReorderElementToDofTable ( )

Reorder the scalar DOFs based on the element ordering.

The new ordering is constructed as follows: 1) loop over all elements as ordered in the Mesh; 2) for each element, assign new indices to all of its current DOFs that are still unassigned; the new indices we assign are simply the sequence 0,1,2,...; if there are any signed DOFs their sign is preserved.

Definition at line 243 of file fespace.cpp.

void mfem::FiniteElementSpace::Save ( std::ostream & out ) const

Definition at line 2134 of file fespace.cpp.

void mfem::FiniteElementSpace::SetUpdateOperatorOwner ( bool own )

inline

Set the ownership of the update operator: if set to false, the Operator returned by GetUpdateOperator() must be deleted outside the FiniteElementSpace.

The update operator ownership is automatically reset to true when a new update operator is created by the Update() method.

Definition at line 643 of file fespace.hpp.

void mfem::FiniteElementSpace::SetUpdateOperatorType ( Operator::Type tid )

inline

Specify the Operator::Type to be used by the update operators.

The default type is Operator::ANY_TYPE which leaves the choice to this class. The other currently supported option is Operator::MFEM_SPARSEMAT which is only guaranteed to be honored for a refinement update operator. Any other type will be treated as Operator::ANY_TYPE.

Note: This operation destroys the current update operator (if owned).

Definition at line 651 of file fespace.hpp.

NURBSExtension * mfem::FiniteElementSpace::StealNURBSext ( )

Definition at line 1448 of file fespace.cpp.

void mfem::FiniteElementSpace::Update ( bool want_transform = true )

virtual

Reflect changes in the mesh: update number of DOFs, etc. Also, calculate GridFunction transformation operator (unless want_transform is false). Safe to call multiple times, does nothing if space already up to date.

Reimplemented in mfem::ParFiniteElementSpace.

Definition at line 2057 of file fespace.cpp.

void mfem::FiniteElementSpace::UpdateNURBS ( )

protected

Definition at line 1459 of file fespace.cpp.

virtual void mfem::FiniteElementSpace::UpdatesFinished ( )

inlinevirtual

Free the GridFunction update operator (if any), to save memory.

Reimplemented in mfem::ParFiniteElementSpace.

Definition at line 654 of file fespace.hpp.

int mfem::FiniteElementSpace::VDofToDof ( int vdof ) const

inline

Definition at line 488 of file fespace.hpp.

Friends And Related Function Documentation

friend class InterpolationGridTransfer

friend

Definition at line 89 of file fespace.hpp.

Member Data Documentation

int * mfem::FiniteElementSpace::bdofs

protected

Definition at line 110 of file fespace.hpp.

Table* mfem::FiniteElementSpace::bdrElem_dof

protected

Definition at line 113 of file fespace.hpp.

SparseMatrix* mfem::FiniteElementSpace::cP

mutableprotected

Matrix representing the prolongation from the global conforming dofs to a set of intermediate partially conforming dofs, e.g. the dofs associated with a "cut" space on a non-conforming mesh.

Definition at line 123 of file fespace.hpp.

bool mfem::FiniteElementSpace::cP_is_set

mutableprotected

Definition at line 126 of file fespace.hpp.

SparseMatrix* mfem::FiniteElementSpace::cR

mutableprotected

Conforming restriction matrix such that cR.cP=I.

Definition at line 125 of file fespace.hpp.

Array<int> mfem::FiniteElementSpace::dof_elem_array

protected

Definition at line 115 of file fespace.hpp.

Array<int> mfem::FiniteElementSpace::dof_ldof_array

protected

Definition at line 115 of file fespace.hpp.

Array<FaceQuadratureInterpolator*> mfem::FiniteElementSpace::E2BFQ_array

mutableprotected

Definition at line 150 of file fespace.hpp.

Array<FaceQuadratureInterpolator*> mfem::FiniteElementSpace::E2IFQ_array

mutableprotected

Definition at line 149 of file fespace.hpp.

Array<QuadratureInterpolator*> mfem::FiniteElementSpace::E2Q_array

mutableprotected

Definition at line 148 of file fespace.hpp.

Table* mfem::FiniteElementSpace::elem_dof

mutableprotected

Definition at line 112 of file fespace.hpp.

int* mfem::FiniteElementSpace::fdofs

protected

Definition at line 110 of file fespace.hpp.

const FiniteElementCollection* mfem::FiniteElementSpace::fec

protected

Associated FE collection (not owned).

Definition at line 96 of file fespace.hpp.

OperatorHandle mfem::FiniteElementSpace::L2E_lex

mutableprotected

Definition at line 132 of file fespace.hpp.

OperatorHandle mfem::FiniteElementSpace::L2E_nat

mutableprotected

The element restriction operators, see GetElementRestriction().

Definition at line 132 of file fespace.hpp.

map_L2F mfem::FiniteElementSpace::L2F

mutableprotected

Definition at line 146 of file fespace.hpp.

Mesh* mfem::FiniteElementSpace::mesh

protected

The mesh that FE space lives on (not owned).

Definition at line 93 of file fespace.hpp.

int mfem::FiniteElementSpace::nbdofs

protected

Definition at line 109 of file fespace.hpp.

int mfem::FiniteElementSpace::ndofs

protected

Number of degrees of freedom. Number of unknowns is ndofs * vdim.

Definition at line 107 of file fespace.hpp.

int mfem::FiniteElementSpace::nedofs

protected

Definition at line 109 of file fespace.hpp.

int mfem::FiniteElementSpace::nfdofs

protected

Definition at line 109 of file fespace.hpp.

NURBSExtension* mfem::FiniteElementSpace::NURBSext

protected

Definition at line 117 of file fespace.hpp.

int mfem::FiniteElementSpace::nvdofs

protected

Definition at line 109 of file fespace.hpp.

Ordering::Type mfem::FiniteElementSpace::ordering

protected

Type of ordering of the vector dofs when vdim > 1.

Ordering::byNODES - first nodes, then vector dimension,
Ordering::byVDIM - first vector dimension, then nodes

Definition at line 104 of file fespace.hpp.

int mfem::FiniteElementSpace::own_ext

protected

Definition at line 118 of file fespace.hpp.

long mfem::FiniteElementSpace::sequence

protected

Definition at line 152 of file fespace.hpp.

OperatorHandle mfem::FiniteElementSpace::Th

protected

Transformation to apply to GridFunctions after space Update().

Definition at line 129 of file fespace.hpp.

int mfem::FiniteElementSpace::vdim

protected

Vector dimension (number of unknowns per degree of freedom).

Definition at line 99 of file fespace.hpp.

The documentation for this class was generated from the following files:

fem/fespace.hpp
fem/fespace.cpp

Classes

Public Member Functions

Static Public Member Functions

Protected Types

Protected Member Functions

Static Protected Member Functions

Protected Attributes

Friends

Detailed Description

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

Friends And Related Function Documentation

Member Data Documentation