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	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

const SparseMatrix *	GetConformingRestriction () const

virtual const Operator *	GetProlongationMatrix () const

virtual const SparseMatrix *	GetRestrictionMatrix () const

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

int	GetNEDofs () const

int	GetNFDofs () const

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	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, int 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 Member Functions
void	UpdateNURBS ()

void	Construct ()

void	Destroy ()

void	BuildElementToDofTable () const

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

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

void	MakeVDimMatrix (SparseMatrix &mat) const

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

void	GetLocalRefinementMatrices (DenseTensor &localP) const

void	GetLocalDerefinementMatrices (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, 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...

long	sequence

Detailed Description

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

Definition at line 66 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 58 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 69 of file fespace.cpp.

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

inline

Definition at line 209 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 218 of file fespace.hpp.

mfem::FiniteElementSpace::~FiniteElementSpace ( )

virtual

Definition at line 1631 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 526 of file fespace.cpp.

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

static

Definition at line 158 of file fespace.cpp.

void mfem::FiniteElementSpace::BuildConformingInterpolation ( ) const

protected

Calculate the cP and cR matrices for a nonconforming mesh.

Definition at line 576 of file fespace.cpp.

void mfem::FiniteElementSpace::BuildDofToArrays ( )

Definition at line 262 of file fespace.cpp.

void mfem::FiniteElementSpace::BuildElementToDofTable ( ) const

protected

Definition at line 213 of file fespace.cpp.

bool mfem::FiniteElementSpace::Conforming ( ) const

inline

Definition at line 230 of file fespace.hpp.

void mfem::FiniteElementSpace::Construct ( )

protected

Definition at line 1165 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 1092 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 420 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 412 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 429 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 461 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 118 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 1011 of file fespace.cpp.

void mfem::FiniteElementSpace::Destroy ( )

protected

Definition at line 1636 of file fespace.cpp.

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

staticprotected

Definition at line 550 of file fespace.cpp.

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

Definition at line 106 of file fespace.cpp.

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

Definition at line 121 of file fespace.cpp.

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

Definition at line 142 of file fespace.cpp.

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

inline

Definition at line 267 of file fespace.hpp.

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

inline

Definition at line 313 of file fespace.hpp.

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

inline

Definition at line 315 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 1348 of file fespace.cpp.

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

inline

Definition at line 385 of file fespace.hpp.

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

inline

Returns ElementTransformation for the i-th boundary element.

Definition at line 310 of file fespace.hpp.

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

inline

Returns the type of boundary element i.

Definition at line 297 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 177 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 1571 of file fespace.cpp.

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

Definition at line 761 of file fespace.cpp.

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

Definition at line 768 of file fespace.cpp.

int mfem::FiniteElementSpace::GetConformingVSize ( ) const

inline

Definition at line 262 of file fespace.hpp.

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 1490 of file fespace.cpp.

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

Definition at line 1620 of file fespace.cpp.

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

Definition at line 1544 of file fespace.cpp.

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

Definition at line 207 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 189 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 1233 of file fespace.cpp.

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

inline

Definition at line 387 of file fespace.hpp.

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

Definition at line 1531 of file fespace.cpp.

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

Definition at line 201 of file fespace.cpp.

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

inline

Definition at line 384 of file fespace.hpp.

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

inline

Returns ElementTransformation for the i-th element.

Definition at line 301 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 306 of file fespace.hpp.

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

inline

Returns the type of element i.

Definition at line 289 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 171 of file fespace.cpp.

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

inline

Returns the vertices of element i.

Definition at line 293 of file fespace.hpp.

void mfem::FiniteElementSpace::GetEntityDofs	(	int	entity,
		int	index,
		Array< int > &	dofs
	)		const

protected

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

Definition at line 565 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 365 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 296 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 1431 of file fespace.cpp.

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

Definition at line 1597 of file fespace.cpp.

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

Definition at line 1556 of file fespace.cpp.

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

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

Definition at line 100 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 183 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 1335 of file fespace.cpp.

void mfem::FiniteElementSpace::GetLocalDerefinementMatrices ( DenseTensor & localR ) const

protected

Definition at line 961 of file fespace.cpp.

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

inline

Definition at line 388 of file fespace.hpp.

void mfem::FiniteElementSpace::GetLocalRefinementMatrices ( DenseTensor & localP ) const

protected

Definition at line 832 of file fespace.cpp.

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

protected

Definition at line 1066 of file fespace.cpp.

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

inline

Returns the mesh.

Definition at line 224 of file fespace.hpp.

int mfem::FiniteElementSpace::GetNBE ( ) const

inline

Returns number of boundary elements in the mesh.

Definition at line 286 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 775 of file fespace.cpp.

int mfem::FiniteElementSpace::GetNDofs ( ) const

inline

Returns number of degrees of freedom.

Definition at line 250 of file fespace.hpp.

int mfem::FiniteElementSpace::GetNE ( ) const

inline

Returns number of elements in the mesh.

Definition at line 277 of file fespace.hpp.

int mfem::FiniteElementSpace::GetNEDofs ( ) const

inline

Definition at line 270 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 283 of file fespace.hpp.

int mfem::FiniteElementSpace::GetNFDofs ( ) const

inline

Definition at line 271 of file fespace.hpp.

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

inline

Definition at line 337 of file fespace.hpp.

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

inline

Definition at line 226 of file fespace.hpp.

NURBSExtension* mfem::FiniteElementSpace::GetNURBSext ( )

inline

Definition at line 227 of file fespace.hpp.

int mfem::FiniteElementSpace::GetNV ( ) const

inline

Returns number of vertices in the mesh.

Definition at line 274 of file fespace.hpp.

int mfem::FiniteElementSpace::GetNVDofs ( ) const

inline

Definition at line 269 of file fespace.hpp.

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

Returns the order of the i'th finite element.

Definition at line 94 of file fespace.cpp.

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

inline

Return the ordering method.

Definition at line 265 of file fespace.hpp.

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

inlinevirtual

Reimplemented in mfem::ParFiniteElementSpace.

Definition at line 236 of file fespace.hpp.

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

inlinevirtual

Reimplemented in mfem::ParFiniteElementSpace.

Definition at line 238 of file fespace.hpp.

long mfem::FiniteElementSpace::GetSequence ( ) const

inline

Return update counter (see Mesh::sequence)

Definition at line 517 of file fespace.hpp.

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

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

Definition at line 1625 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 1659 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 1678 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 256 of file fespace.hpp.

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

inline

Get the GridFunction update operator.

Definition at line 493 of file fespace.hpp.

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

inline

Return the update operator in the given OperatorHandle, T.

Definition at line 496 of file fespace.hpp.

int mfem::FiniteElementSpace::GetVDim ( ) const

inline

Returns vector dimension.

Definition at line 242 of file fespace.hpp.

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

Definition at line 1519 of file fespace.cpp.

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

Definition at line 195 of file fespace.cpp.

int mfem::FiniteElementSpace::GetVSize ( ) const

inline

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

Definition at line 253 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 492 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 401 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 1857 of file fespace.cpp.

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

protected

Definition at line 733 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 384 of file fespace.cpp.

bool mfem::FiniteElementSpace::Nonconforming ( ) const

inline

Definition at line 231 of file fespace.hpp.

void mfem::FiniteElementSpace::RebuildElementToDofTable ( )

Definition at line 235 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 855 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 781 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 242 of file fespace.cpp.

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

Definition at line 1796 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 503 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 511 of file fespace.hpp.

NURBSExtension * mfem::FiniteElementSpace::StealNURBSext ( )

Definition at line 1138 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 1719 of file fespace.cpp.

void mfem::FiniteElementSpace::UpdateNURBS ( )

protected

Definition at line 1149 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 514 of file fespace.hpp.

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

inline

Definition at line 348 of file fespace.hpp.

Member Data Documentation

int * mfem::FiniteElementSpace::bdofs

protected

Definition at line 87 of file fespace.hpp.

Table* mfem::FiniteElementSpace::bdrElem_dof

protected

Definition at line 90 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 100 of file fespace.hpp.

bool mfem::FiniteElementSpace::cP_is_set

mutableprotected

Definition at line 103 of file fespace.hpp.

SparseMatrix* mfem::FiniteElementSpace::cR

mutableprotected

Conforming restriction matrix such that cR.cP=I.

Definition at line 102 of file fespace.hpp.

Array<int> mfem::FiniteElementSpace::dof_elem_array

protected

Definition at line 92 of file fespace.hpp.

Array<int> mfem::FiniteElementSpace::dof_ldof_array

protected

Definition at line 92 of file fespace.hpp.

Table* mfem::FiniteElementSpace::elem_dof

mutableprotected

Definition at line 89 of file fespace.hpp.

int* mfem::FiniteElementSpace::fdofs

protected

Definition at line 87 of file fespace.hpp.

const FiniteElementCollection* mfem::FiniteElementSpace::fec

protected

Associated FE collection (not owned).

Definition at line 73 of file fespace.hpp.

Mesh* mfem::FiniteElementSpace::mesh

protected

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

Definition at line 70 of file fespace.hpp.

int mfem::FiniteElementSpace::nbdofs

protected

Definition at line 86 of file fespace.hpp.

int mfem::FiniteElementSpace::ndofs

protected

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

Definition at line 84 of file fespace.hpp.

int mfem::FiniteElementSpace::nedofs

protected

Definition at line 86 of file fespace.hpp.

int mfem::FiniteElementSpace::nfdofs

protected

Definition at line 86 of file fespace.hpp.

NURBSExtension* mfem::FiniteElementSpace::NURBSext

protected

Definition at line 94 of file fespace.hpp.

int mfem::FiniteElementSpace::nvdofs

protected

Definition at line 86 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 81 of file fespace.hpp.

int mfem::FiniteElementSpace::own_ext

protected

Definition at line 95 of file fespace.hpp.

long mfem::FiniteElementSpace::sequence

protected

Definition at line 108 of file fespace.hpp.

OperatorHandle mfem::FiniteElementSpace::Th

protected

Transformation to apply to GridFunctions after space Update().

Definition at line 106 of file fespace.hpp.

int mfem::FiniteElementSpace::vdim

protected

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

Definition at line 76 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 Member Functions

Static Protected Member Functions

Protected Attributes

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