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
	Derefinement operator, used by the friend class InterpolationGridTransfer. More...

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, and 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...

FiniteElementSpace &	operator= (const FiniteElementSpace &)=delete
	Copy assignment not supported. More...

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

const NURBSExtension *	GetNURBSext () const

NURBSExtension *	GetNURBSext ()

NURBSExtension *	StealNURBSext ()

bool	Conforming () const

bool	Nonconforming () const

void	SetElementOrder (int i, int p)
	Sets the order of the i'th finite element. More...

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

int	GetMaxElementOrder () const
	Return the maximum polynomial order. More...

bool	IsVariableOrder () const
	Returns true if the space contains elements of varying polynomial orders. More...

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...

const SparseMatrix *	GetHpConformingRestriction () 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 Operator *	GetRestrictionTransposeOperator () const
	Return an operator that performs the transpose of GetRestrictionOperator. More...

virtual const Operator *	GetRestrictionOperator () const
	An abstract operator that performs the same action as GetRestrictionMatrix. More...

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

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

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

virtual const FaceRestriction *	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	GetOrder (int i) const
	Returns the polynomial degree of the i'th finite element. More...

int	GetEdgeOrder (int edge, int variant=0) const

int	GetFaceOrder (int face, int variant=0) const
	Returns the polynomial degree of the i'th face finite element. More...

int	GetVDim () const
	Returns vector dimension. 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 DofTransformation *	GetElementDofs (int elem, Array< int > &dofs) const
	Returns indices of degrees of freedom of element 'elem'. More...

virtual DofTransformation *	GetBdrElementDofs (int bel, Array< int > &dofs) const
	Returns indices of degrees of freedom for boundary element 'bel'. More...

virtual int	GetFaceDofs (int face, Array< int > &dofs, int variant=0) const
	Returns the indices of the degrees of freedom for the specified face, including the DOFs for the edges and the vertices of the face. More...

int	GetEdgeDofs (int edge, Array< int > &dofs, int variant=0) const
	Returns the indices of the degrees of freedom for the specified edge, including the DOFs for the vertices of the edge. More...

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	GetVDofs (int vd, Array< int > &dofs, int ndofs=-1) const
	Returns the indices of all of the VDofs for the specified dimension 'vd'. More...

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

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

DofTransformation *	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

MFEM_DEPRECATED void	RebuildElementToDofTable ()
	( More...

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

const Table *	GetElementToFaceOrientationTable () const

const Table &	GetElementToDofTable () const
	Return a reference to the internal Table that stores the lists of scalar dofs, for each mesh element, as returned by GetElementDofs(). More...

const Table &	GetBdrElementToDofTable () const
	Return a reference to the internal Table that stores the lists of scalar dofs, for each boundary mesh element, as returned by GetBdrElementDofs(). More...

const Table &	GetFaceToDofTable () const
	Return a reference to the internal Table that stores the lists of scalar dofs, for each face in the mesh, as returned by GetFaceDofs(). In this context, "face" refers to a (dim-1)-dimensional mesh entity. More...

void	BuildDofToArrays ()
	Initialize internal data that enables the use of the methods GetElementForDof() and GetLocalDofForDof(). More...

int	GetElementForDof (int i) const
	Return the index of the first element that contains dof i. More...

int	GetLocalDofForDof (int i) const
	Return the local dof index in the first element that contains dof i. More...

virtual const FiniteElement *	GetFE (int i) const
	Returns pointer to the FiniteElement in the FiniteElementCollection associated with i'th element in the mesh object. More...

const FiniteElement *	GetBE (int i) const
	Returns pointer to the FiniteElement in the FiniteElementCollection associated with i'th boundary face in the mesh object. More...

const FiniteElement *	GetFaceElement (int i) const
	Returns pointer to the FiniteElement in the FiniteElementCollection associated with i'th face in the mesh object. Faces in this case refer to the MESHDIM-1 primitive so in 2D they are segments and in 1D they are points. More...

const FiniteElement *	GetEdgeElement (int i, int variant=0) const
	Returns pointer to the FiniteElement in the FiniteElementCollection associated with i'th edge in the mesh object. More...

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
	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. More...

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

void	GetBoundaryTrueDofs (Array< int > &boundary_dofs, int component=-1)
	Get a list of all boundary true dofs, boundary_dofs. For spaces with 'vdim' > 1, the 'component' parameter can be used to restricts the marked tDOFs to the specified component. Equivalent to FiniteElementSpace::GetEssentialTrueDofs with all boundary attributes marked as essential. More...

void	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. More...

void	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. More...

SparseMatrix *	D2C_GlobalRestrictionMatrix (FiniteElementSpace *cfes)
	Generate the global restriction matrix from a discontinuous FE space to the continuous FE space of the same polynomial degree. More...

SparseMatrix *	D2Const_GlobalRestrictionMatrix (FiniteElementSpace *cfes)
	Generate the global restriction matrix from a discontinuous FE space to the piecewise constant FE space. More...

SparseMatrix *	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. More...

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)
	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. More...

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

bool	IsDGSpace () const
	Return whether or not the space is discontinuous (L2) More...

void	SetRelaxedHpConformity (bool relaxed=true)

void	Save (std::ostream &out) const
	Save finite element space to output stream out. More...

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)
	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. More...

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, FaceRestriction *, key_hash >

typedef std::uint64_t	VarOrderBits
	Bit-mask representing a set of orders needed by an edge/face. More...

Protected Member Functions
void	UpdateNURBS ()

void	Construct ()

void	Destroy ()

void	ConstructDoFTrans ()

void	DestroyDoFTrans ()

void	BuildElementToDofTable () const

void	BuildBdrElementToDofTable () const

void	BuildFaceToDofTable () const

void	BuildNURBSFaceToDofTable () const
	Generates partial face_dof table for a NURBS space. More...

int	GetElementOrderImpl (int i) const
	Return element order: internal version of GetElementOrder without checks. More...

void	CalcEdgeFaceVarOrders (Array< VarOrderBits > &edge_orders, Array< VarOrderBits > &face_orders) const

int	MakeDofTable (int ent_dim, const Array< int > &entity_orders, Table &entity_dofs, Array< char > *var_ent_order)

int	FindDofs (const Table &var_dof_table, int row, int ndof) const
	Search row of a DOF table for a DOF set of size 'ndof', return first DOF. More...

int	FindEdgeDof (int edge, int ndof) const

int	FindFaceDof (int face, int ndof) const
	Similar to FindEdgeDof, but used for mixed meshes too. More...

int	FirstFaceDof (int face, int variant=0) const

int	GetNVariants (int entity, int index) const
	Return number of possible DOF variants for edge/face (var. order spaces). More...

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

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

int	GetNumBorderDofs (Geometry::Type geom, int order) const

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

void	AddEdgeFaceDependencies (SparseMatrix &deps, Array< int > &master_dofs, const FiniteElement master_fe, Array< int > &slave_dofs, int slave_face, const DenseMatrix pm) const

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 Table *coarse_elem_fos, 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, const Table old_elem_fos)

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

void	GetLocalRefinementMatrices (const FiniteElementSpace &coarse_fes, Geometry::Type geom, DenseTensor &localP) const
	Return in localP the local refinement matrices that map between fespaces after mesh refinement. More...

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

virtual void	UpdateMeshPointer (Mesh *new_mesh)

void	UpdateElementOrders ()
	Resize the elem_order array on mesh change. More...

virtual void	CopyProlongationAndRestriction (const FiniteElementSpace &fes, const Array< int > *perm)
	Copies the prolongation and restriction matrices from fes. More...

Static Protected Member Functions
static int	MinOrder (VarOrderBits bits)
	Return the minimum order (least significant bit set) in the bit mask. More...

static int	EncodeDof (int entity_base, int idx)
	Helper to encode a sign flip into a DOF index (for Hcurl/Hdiv shapes). More...

static int	DecodeDof (int dof)
	Helpers to remove encoded sign from a DOF. More...

static int	DecodeDof (int dof, double &sign)

static void	AddDependencies (SparseMatrix &deps, Array< int > &master_dofs, Array< int > &slave_dofs, DenseMatrix &I, int skipfirst=0)

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...

Array< char >	elem_order

int	nvdofs

int	nedofs

int	nfdofs

int	nbdofs

int	uni_fdof
	of single face DOFs if all faces uniform; -1 otherwise More...

int *	bdofs
	internal DOFs of elements if mixed/var-order; NULL otherwise More...

Table	var_edge_dofs

Table	var_face_dofs
	NOTE: also used for spaces with mixed faces. More...

Array< char >	var_edge_orders

Array< char >	var_face_orders

Table *	elem_dof

Table *	elem_fos

Table *	bdr_elem_dof

Table *	bdr_elem_fos

Table *	face_dof

Array< int >	dof_elem_array

Array< int >	dof_ldof_array

NURBSExtension *	NURBSext

int	own_ext

Array< int >	face_to_be

Array< DofTransformation * >	DoFTrans

VDofTransformation	VDoFTrans

SparseMatrix *	cP

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

SparseMatrix *	cR_hp
	A version of the conforming restriction matrix for variable-order spaces. 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

long	mesh_sequence

bool	orders_changed
	True if at least one element order changed (variable-order space only). More...

bool	relaxed_hp

Static Protected Attributes
static constexpr int	MaxVarOrder = 8*sizeof(VarOrderBits) - 1

Friends
class	InterpolationGridTransfer

class	PRefinementTransferOperator

class	LORBase

void	Mesh::Swap (Mesh &, bool)

Detailed Description

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

Definition at line 96 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 170 of file fespace.hpp.

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

protected

Definition at line 181 of file fespace.hpp.

typedef std::uint64_t mfem::FiniteElementSpace::VarOrderBits

protected

Bit-mask representing a set of orders needed by an edge/face.

Definition at line 220 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, and 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 72 of file fespace.cpp.

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

inline

Definition at line 423 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 432 of file fespace.hpp.

mfem::FiniteElementSpace::~FiniteElementSpace ( )

virtual

Definition at line 3178 of file fespace.cpp.

Member Function Documentation

void mfem::FiniteElementSpace::AddDependencies	(	SparseMatrix &	deps,
		Array< int > &	master_dofs,
		Array< int > &	slave_dofs,
		DenseMatrix &	I,
		int	skipfirst = `0`
	)

staticprotected

Definition at line 758 of file fespace.cpp.

void mfem::FiniteElementSpace::AddEdgeFaceDependencies	(	SparseMatrix &	deps,
		Array< int > &	master_dofs,
		const FiniteElement *	master_fe,
		Array< int > &	slave_dofs,
		int	slave_face,
		const DenseMatrix *	pm
	)		const

protected

Definition at line 783 of file fespace.cpp.

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

static

Definition at line 267 of file fespace.cpp.

void mfem::FiniteElementSpace::BuildBdrElementToDofTable ( ) const

protected

Definition at line 383 of file fespace.cpp.

void mfem::FiniteElementSpace::BuildConformingInterpolation ( ) const

protected

Calculate the cP and cR matrices for a nonconforming mesh.

Definition at line 928 of file fespace.cpp.

void mfem::FiniteElementSpace::BuildDofToArrays ( )

Initialize internal data that enables the use of the methods GetElementForDof() and GetLocalDofForDof().

Definition at line 460 of file fespace.cpp.

void mfem::FiniteElementSpace::BuildElementToDofTable ( ) const

protected

Definition at line 342 of file fespace.cpp.

void mfem::FiniteElementSpace::BuildFaceToDofTable ( ) const

protected

Definition at line 405 of file fespace.cpp.

void mfem::FiniteElementSpace::BuildNURBSFaceToDofTable ( ) const

protected

Generates partial face_dof table for a NURBS space.

The table is only defined for exterior faces that coincide with a boundary.

Definition at line 2264 of file fespace.cpp.

void mfem::FiniteElementSpace::CalcEdgeFaceVarOrders	(	Array< VarOrderBits > &	edge_orders,
		Array< VarOrderBits > &	face_orders
	)		const

protected

In a variable order space, calculate a bitmask of polynomial orders that need to be represented on each edge and face.

Definition at line 2450 of file fespace.cpp.

bool mfem::FiniteElementSpace::Conforming ( ) const

inline

Definition at line 447 of file fespace.hpp.

void mfem::FiniteElementSpace::Construct ( )

protected

Definition at line 2313 of file fespace.cpp.

void mfem::FiniteElementSpace::ConstructDoFTrans ( )

protected

Definition at line 2190 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 2139 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 638 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 630 of file fespace.cpp.

void mfem::FiniteElementSpace::CopyProlongationAndRestriction	(	const FiniteElementSpace &	fes,
		const Array< int > *	perm
	)

protectedvirtual

Copies the prolongation and restriction matrices from fes.

Used for low order preconditioning on non-conforming meshes. If the DOFs require a permutation, it will be supplied by non-NULL perm. NULL perm indicates that no permutation is required.

Definition at line 100 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 647 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 679 of file fespace.cpp.

static int mfem::FiniteElementSpace::DecodeDof ( int dof )

inlinestaticprotected

Helpers to remove encoded sign from a DOF.

Definition at line 262 of file fespace.hpp.

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

inlinestaticprotected

Definition at line 265 of file fespace.hpp.

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

protected

Calculate GridFunction restriction matrix after mesh derefinement.

TODO: Implement DofTransformation support

Definition at line 2038 of file fespace.cpp.

void mfem::FiniteElementSpace::Destroy ( )

protected

Definition at line 3183 of file fespace.cpp.

void mfem::FiniteElementSpace::DestroyDoFTrans ( )

protected

Definition at line 3235 of file fespace.cpp.

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

staticprotected

Definition at line 838 of file fespace.cpp.

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

Definition at line 215 of file fespace.cpp.

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

Definition at line 230 of file fespace.cpp.

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

Definition at line 251 of file fespace.cpp.

static int mfem::FiniteElementSpace::EncodeDof	(	int	entity_base,
		int	idx
	)

inlinestaticprotected

Helper to encode a sign flip into a DOF index (for Hcurl/Hdiv shapes).

Definition at line 258 of file fespace.hpp.

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

inline

Definition at line 601 of file fespace.hpp.

int mfem::FiniteElementSpace::FindDofs	(	const Table &	var_dof_table,
		int	row,
		int	ndof
	)		const

protected

Search row of a DOF table for a DOF set of size 'ndof', return first DOF.

Definition at line 2621 of file fespace.cpp.

int mfem::FiniteElementSpace::FindEdgeDof	(	int	edge,
		int	ndof
	)		const

inlineprotected

In a variable order space, return edge DOFs associated with a polynomial order that has 'ndof' degrees of freedom.

Definition at line 244 of file fespace.hpp.

int mfem::FiniteElementSpace::FindFaceDof	(	int	face,
		int	ndof
	)		const

inlineprotected

Similar to FindEdgeDof, but used for mixed meshes too.

Definition at line 248 of file fespace.hpp.

int mfem::FiniteElementSpace::FirstFaceDof	(	int	face,
		int	variant = `0`
	)		const

inlineprotected

Definition at line 251 of file fespace.hpp.

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

inline

Definition at line 659 of file fespace.hpp.

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

inline

Definition at line 661 of file fespace.hpp.

DofTransformation * mfem::FiniteElementSpace::GetBdrElementDofs	(	int	bel,
		Array< int > &	dofs
	)		const

virtual

Returns indices of degrees of freedom for boundary element 'bel'.

Reimplemented in mfem::ParFiniteElementSpace.

Definition at line 2812 of file fespace.cpp.

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

inline

Return a reference to the internal Table that stores the lists of scalar dofs, for each boundary mesh element, as returned by GetBdrElementDofs().

Definition at line 755 of file fespace.hpp.

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

inline

Returns ElementTransformation for the i-th boundary element.

Definition at line 656 of file fespace.hpp.

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

inline

Returns the type of boundary element i.

Definition at line 643 of file fespace.hpp.

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

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

Definition at line 297 of file fespace.cpp.

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

Returns pointer to the FiniteElement in the FiniteElementCollection associated with i'th boundary face in the mesh object.

Definition at line 3100 of file fespace.cpp.

void mfem::FiniteElementSpace::GetBoundaryTrueDofs	(	Array< int > &	boundary_dofs,
		int	component = `-1`
	)

Get a list of all boundary true dofs, boundary_dofs. For spaces with 'vdim' > 1, the 'component' parameter can be used to restricts the marked tDOFs to the specified component. Equivalent to FiniteElementSpace::GetEssentialTrueDofs with all boundary attributes marked as essential.

Definition at line 582 of file fespace.cpp.

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

The returned SparseMatrix is owned by the FiniteElementSpace.

Definition at line 1232 of file fespace.cpp.

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

The returned SparseMatrix is owned by the FiniteElementSpace.

Definition at line 1239 of file fespace.cpp.

int mfem::FiniteElementSpace::GetConformingVSize ( ) const

inline

Definition at line 596 of file fespace.hpp.

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

protected

Definition at line 852 of file fespace.cpp.

int mfem::FiniteElementSpace::GetEdgeDofs	(	int	edge,
		Array< int > &	dofs,
		int	variant = `0`
	)		const

Returns the indices of the degrees of freedom for the specified edge, including the DOFs for the vertices of the edge.

In variable order spaces, multiple sets of DOFs may exist on an edge, corresponding to the different polynomial orders of incident elements. The 'variant' parameter is the zero-based index of the desired DOF set. The variants are ordered from lowest polynomial degree to the highest.

Returns: Order of the selected variant, or -1 if there are no more variants.

Definition at line 2985 of file fespace.cpp.

const FiniteElement * mfem::FiniteElementSpace::GetEdgeElement	(	int	i,
		int	variant = `0`
	)		const

Returns pointer to the FiniteElement in the FiniteElementCollection associated with i'th edge in the mesh object.

Definition at line 3163 of file fespace.cpp.

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

Definition at line 3064 of file fespace.cpp.

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

Definition at line 336 of file fespace.cpp.

int mfem::FiniteElementSpace::GetEdgeOrder	(	int	edge,
		int	variant = `0`
	)		const

Return the order of an edge. In a variable order space, return the order of a specific variant, or -1 if there are no more variants.

Definition at line 2638 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 318 of file fespace.cpp.

DofTransformation * mfem::FiniteElementSpace::GetElementDofs	(	int	elem,
		Array< int > &	dofs
	)		const

virtual

Returns indices of degrees of freedom of element 'elem'.

Reimplemented in mfem::ParFiniteElementSpace.

Definition at line 2678 of file fespace.cpp.

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

inline

Return the index of the first element that contains dof i.

This method can be called only after setup is performed using the method BuildDofToArrays().

Definition at line 773 of file fespace.hpp.

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

Definition at line 3043 of file fespace.cpp.

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

Definition at line 330 of file fespace.cpp.

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

Returns the order of the i'th finite element.

Definition at line 178 of file fespace.cpp.

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

protected

Return element order: internal version of GetElementOrder without checks.

Definition at line 189 of file fespace.cpp.

const ElementRestrictionOperator * 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 1259 of file fespace.cpp.

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

inline

Return a reference to the internal Table that stores the lists of scalar dofs, for each mesh element, as returned by GetElementDofs().

Definition at line 750 of file fespace.hpp.

const Table* mfem::FiniteElementSpace::GetElementToFaceOrientationTable ( ) const

inline

Definition at line 746 of file fespace.hpp.

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

inline

Returns ElementTransformation for the i-th element.

Definition at line 647 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 652 of file fespace.hpp.

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

inline

Returns the type of element i.

Definition at line 635 of file fespace.hpp.

DofTransformation * 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 281 of file fespace.cpp.

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

inline

Returns the vertices of element i.

Definition at line 639 of file fespace.hpp.

int mfem::FiniteElementSpace::GetEntityDofs	(	int	entity,
		int	index,
		Array< int > &	dofs,
		Geometry::Type	master_geom = `Geometry::INVALID`,
		int	variant = `0`
	)		const

protected

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

Definition at line 903 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 564 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 495 of file fespace.cpp.

int mfem::FiniteElementSpace::GetFaceDofs	(	int	face,
		Array< int > &	dofs,
		int	variant = `0`
	)		const

virtual

Returns the indices of the degrees of freedom for the specified face, including the DOFs for the edges and the vertices of the face.

In variable order spaces, multiple variants of DOFs can be returned. See GetEdgeDofs for more details.

Returns: Order of the selected variant, or -1 if there are no more variants.

Reimplemented in mfem::ParFiniteElementSpace.

Definition at line 2904 of file fespace.cpp.

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

Returns pointer to the FiniteElement in the FiniteElementCollection associated with i'th face in the mesh object. Faces in this case refer to the MESHDIM-1 primitive so in 2D they are segments and in 1D they are points.

Definition at line 3133 of file fespace.cpp.

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

Definition at line 3076 of file fespace.cpp.

int mfem::FiniteElementSpace::GetFaceOrder	(	int	face,
		int	variant = `0`
	)		const

Returns the polynomial degree of the i'th face finite element.

Definition at line 2649 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).

Note: The returned pointer is shared. A good practice, before using it, is to set all its properties to their expected values, as other parts of the code may also change them. That is, it's good to call SetOutputLayout() and DisableTensorProducts() before interpolating.

Definition at line 1356 of file fespace.cpp.

const FaceRestriction * 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 1292 of file fespace.cpp.

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

inline

Return a reference to the internal Table that stores the lists of scalar dofs, for each face in the mesh, as returned by GetFaceDofs(). In this context, "face" refers to a (dim-1)-dimensional mesh entity.

Note: In the case of a NURBS space, the rows corresponding to interior faces will be empty.

Definition at line 763 of file fespace.hpp.

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 312 of file fespace.cpp.

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

virtual

Returns pointer to the FiniteElement in the FiniteElementCollection associated with i'th element in the mesh object.

Reimplemented in mfem::ParFiniteElementSpace.

Definition at line 2781 of file fespace.cpp.

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

The returned SparseMatrix is owned by the FiniteElementSpace.

Return a version of the conforming restriction matrix for variable-order spaces with complex hp interfaces, where some true DOFs are not owned by any elements and need to be interpolated from higher order edge/face variants (see also SetRelaxedHpConformity()).

Definition at line 1246 of file fespace.cpp.

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

inlinevirtual

The returned SparseMatrix is owned by the FiniteElementSpace.

Definition at line 499 of file fespace.hpp.

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

protected

Definition at line 2014 of file fespace.cpp.

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

inline

Return the local dof index in the first element that contains dof i.

This method can be called only after setup is performed using the method BuildDofToArrays().

Definition at line 777 of file fespace.hpp.

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

protected

Definition at line 1451 of file fespace.cpp.

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

protected

Return in localP the local refinement matrices that map between fespaces after mesh refinement.

This method assumes that this->mesh is a refinement of coarse_fes->mesh and that the CoarseFineTransformations of this->mesh are set accordingly. Another assumption is that the FEs of this use the same MapType as the FEs of coarse_fes. Finally, it assumes that the spaces this and coarse_fes are NOT variable-order spaces.

Definition at line 2112 of file fespace.cpp.

int mfem::FiniteElementSpace::GetMaxElementOrder ( ) const

inline

Return the maximum polynomial order.

Definition at line 459 of file fespace.hpp.

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

inline

Returns the mesh.

Definition at line 441 of file fespace.hpp.

int mfem::FiniteElementSpace::GetNBE ( ) const

inline

Returns number of boundary elements in the mesh.

Definition at line 623 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 1253 of file fespace.cpp.

int mfem::FiniteElementSpace::GetNDofs ( ) const

inline

Returns number of degrees of freedom.

Definition at line 584 of file fespace.hpp.

int mfem::FiniteElementSpace::GetNE ( ) const

inline

Returns number of elements in the mesh.

Definition at line 614 of file fespace.hpp.

int mfem::FiniteElementSpace::GetNEDofs ( ) const

inline

Number of all scalar edge-interior dofs.

Definition at line 606 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 620 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 631 of file fespace.hpp.

int mfem::FiniteElementSpace::GetNFDofs ( ) const

inline

Number of all scalar face-interior dofs.

Definition at line 608 of file fespace.hpp.

int mfem::FiniteElementSpace::GetNumBorderDofs	(	Geometry::Type	geom,
		int	order
	)		const

protected

Definition at line 894 of file fespace.cpp.

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

Definition at line 3058 of file fespace.cpp.

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

inline

Definition at line 443 of file fespace.hpp.

NURBSExtension* mfem::FiniteElementSpace::GetNURBSext ( )

inline

Definition at line 444 of file fespace.hpp.

int mfem::FiniteElementSpace::GetNV ( ) const

inline

Returns number of vertices in the mesh.

Definition at line 611 of file fespace.hpp.

int mfem::FiniteElementSpace::GetNVariants	(	int	entity,
		int	index
	)		const

protected

Return number of possible DOF variants for edge/face (var. order spaces).

Definition at line 2665 of file fespace.cpp.

int mfem::FiniteElementSpace::GetNVDofs ( ) const

inline

Number of all scalar vertex dofs.

Definition at line 604 of file fespace.hpp.

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

inline

Returns the polynomial degree of the i'th finite element.

NOTE: it is recommended to use GetElementOrder in new code.

Definition at line 571 of file fespace.hpp.

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

inline

Return the ordering method.

Definition at line 599 of file fespace.hpp.

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

inlinevirtual

The returned Operator is owned by the FiniteElementSpace.

Reimplemented in mfem::ParFiniteElementSpace, mfem::ceed::ParAlgebraicCoarseSpace, and mfem::ceed::AlgebraicCoarseSpace.

Definition at line 479 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.

Note: The returned pointer is shared. A good practice, before using it, is to set all its properties to their expected values, as other parts of the code may also change them. That is, it's good to call SetOutputLayout() and DisableTensorProducts() before interpolating.

Definition at line 1327 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.

Note: The returned pointer is shared. A good practice, before using it, is to set all its properties to their expected values, as other parts of the code may also change them. That is, it's good to call SetOutputLayout() and DisableTensorProducts() before interpolating.

Definition at line 1341 of file fespace.cpp.

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

inlinevirtual

The returned SparseMatrix is owned by the FiniteElementSpace.

Reimplemented in mfem::ParFiniteElementSpace, mfem::ceed::ParAlgebraicCoarseSpace, and mfem::ceed::AlgebraicCoarseSpace.

Definition at line 495 of file fespace.hpp.

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

inlinevirtual

An abstract operator that performs the same action as GetRestrictionMatrix.

In some cases this is an optimized matrix-free implementation. The returned operator is owned by the FiniteElementSpace.

Reimplemented in mfem::ParFiniteElementSpace.

Definition at line 491 of file fespace.hpp.

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

inlinevirtual

Return an operator that performs the transpose of GetRestrictionOperator.

The returned operator is owned by the FiniteElementSpace. In serial this is the same as GetProlongationMatrix()

Reimplemented in mfem::ParFiniteElementSpace.

Definition at line 485 of file fespace.hpp.

long mfem::FiniteElementSpace::GetSequence ( ) const

inline

Return update counter, similar to Mesh::GetSequence(). Used by GridFunction to check if it is up to date with the space.

Definition at line 922 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 3173 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 3244 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 3271 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 590 of file fespace.hpp.

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

inline

Get the GridFunction update operator.

Definition at line 897 of file fespace.hpp.

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

inline

Return the update operator in the given OperatorHandle, T.

Definition at line 900 of file fespace.hpp.

int mfem::FiniteElementSpace::GetVDim ( ) const

inline

Returns vector dimension.

Definition at line 581 of file fespace.hpp.

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

Returns the indices of all of the VDofs for the specified dimension 'vd'.

The 'ndofs' parameter defines the number of Dofs in the FiniteElementSpace. If 'ndofs' is -1 (the default value), then the number of Dofs is determined by the FiniteElementSpace.

Definition at line 195 of file fespace.cpp.

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

Definition at line 3033 of file fespace.cpp.

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

Definition at line 324 of file fespace.cpp.

int mfem::FiniteElementSpace::GetVSize ( ) const

inline

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

Definition at line 587 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 710 of file fespace.cpp.

bool mfem::FiniteElementSpace::IsDGSpace ( ) const

inline

Return whether or not the space is discontinuous (L2)

Definition at line 925 of file fespace.hpp.

bool mfem::FiniteElementSpace::IsVariableOrder ( ) const

inline

Returns true if the space contains elements of varying polynomial orders.

Definition at line 463 of file fespace.hpp.

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 617 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 3513 of file fespace.cpp.

int mfem::FiniteElementSpace::MakeDofTable	(	int	ent_dim,
		const Array< int > &	entity_orders,
		Table &	entity_dofs,
		Array< char > *	var_ent_order
	)

protected

Build the table var_edge_dofs (or var_face_dofs) in a variable order space; return total edge/face DOFs.

Definition at line 2566 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 1204 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 598 of file fespace.cpp.

int mfem::FiniteElementSpace::MinOrder ( VarOrderBits bits )

staticprotected

Return the minimum order (least significant bit set) in the bit mask.

Definition at line 2439 of file fespace.cpp.

bool mfem::FiniteElementSpace::Nonconforming ( ) const

inline

Definition at line 448 of file fespace.hpp.

FiniteElementSpace& mfem::FiniteElementSpace::operator= ( const FiniteElementSpace & )

delete

Copy assignment not supported.

void mfem::FiniteElementSpace::RebuildElementToDofTable ( )

(

Deprecated:: ) Use the Update() method if the space or mesh changed.

Definition at line 431 of file fespace.cpp.

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

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 1474 of file fespace.cpp.

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

protected

This method makes the same assumptions as the method: void GetLocalRefinementMatrices( const FiniteElementSpace &coarse_fes, Geometry::Type geom, DenseTensor &localP) const which is defined below. It also assumes that the coarse fes and this have the same vector dimension, vdim.

TODO: Implement DofTransformation support

Definition at line 1387 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 440 of file fespace.cpp.

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

Save finite element space to output stream out.

Definition at line 3444 of file fespace.cpp.

void mfem::FiniteElementSpace::SetElementOrder	(	int	i,
		int	p
	)

Sets the order of the i'th finite element.

By default, all elements are assumed to be of fec->GetOrder(). Once SetElementOrder is called, the space becomes a variable order space.

Definition at line 151 of file fespace.cpp.

void mfem::FiniteElementSpace::SetRelaxedHpConformity ( bool relaxed = true )

inline

In variable order spaces on nonconforming (NC) meshes, this function controls whether strict conformity is enforced in cases where coarse edges/faces have higher polynomial order than their fine NC neighbors. In the default (strict) case, the coarse side polynomial order is reduced to that of the lowest order fine edge/face, so all fine neighbors can interpolate the coarse side exactly. If relaxed == true, some discontinuities in the solution in such cases are allowed and the coarse side is not restricted. For an example, see https://github.com/mfem/mfem/pull/1423#issuecomment-621340392

Definition at line 939 of file fespace.hpp.

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 907 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 915 of file fespace.hpp.

NURBSExtension * mfem::FiniteElementSpace::StealNURBSext ( )

Definition at line 2229 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 3334 of file fespace.cpp.

void mfem::FiniteElementSpace::UpdateElementOrders ( )

protected

Resize the elem_order array on mesh change.

Definition at line 3312 of file fespace.cpp.

void mfem::FiniteElementSpace::UpdateMeshPointer ( Mesh * new_mesh )

protectedvirtual

Updates the internal mesh pointer.

Warning: new_mesh must be topologically identical to the existing mesh. Used if the address of the Mesh object has changed, e.g. in Mesh::Swap.

Definition at line 3439 of file fespace.cpp.

void mfem::FiniteElementSpace::UpdateNURBS ( )

protected

Definition at line 2240 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 918 of file fespace.hpp.

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

inline

Definition at line 711 of file fespace.hpp.

Friends And Related Function Documentation

friend class InterpolationGridTransfer

friend

Definition at line 98 of file fespace.hpp.

friend class LORBase

friend

Definition at line 101 of file fespace.hpp.

void Mesh::Swap	(	Mesh &	,
		bool
	)

friend

friend class PRefinementTransferOperator

friend

Definition at line 99 of file fespace.hpp.

Member Data Documentation

int* mfem::FiniteElementSpace::bdofs

protected

internal DOFs of elements if mixed/var-order; NULL otherwise

Definition at line 127 of file fespace.hpp.

Table* mfem::FiniteElementSpace::bdr_elem_dof

mutableprotected

Definition at line 141 of file fespace.hpp.

Table* mfem::FiniteElementSpace::bdr_elem_fos

mutableprotected

Definition at line 142 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 157 of file fespace.hpp.

bool mfem::FiniteElementSpace::cP_is_set

mutableprotected

Definition at line 162 of file fespace.hpp.

SparseMatrix* mfem::FiniteElementSpace::cR

mutableprotected

Conforming restriction matrix such that cR.cP=I.

Definition at line 159 of file fespace.hpp.

SparseMatrix* mfem::FiniteElementSpace::cR_hp

mutableprotected

A version of the conforming restriction matrix for variable-order spaces.

Definition at line 161 of file fespace.hpp.

Array<int> mfem::FiniteElementSpace::dof_elem_array

protected

Definition at line 145 of file fespace.hpp.

Array<int> mfem::FiniteElementSpace::dof_ldof_array

protected

Definition at line 145 of file fespace.hpp.

Array<DofTransformation*> mfem::FiniteElementSpace::DoFTrans

protected

Definition at line 151 of file fespace.hpp.

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

mutableprotected

Definition at line 186 of file fespace.hpp.

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

mutableprotected

Definition at line 185 of file fespace.hpp.

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

mutableprotected

Definition at line 184 of file fespace.hpp.

Table* mfem::FiniteElementSpace::elem_dof

mutableprotected

Definition at line 139 of file fespace.hpp.

Table* mfem::FiniteElementSpace::elem_fos

mutableprotected

Definition at line 140 of file fespace.hpp.

Array<char> mfem::FiniteElementSpace::elem_order

protected

Polynomial order for each element. If empty, all elements are assumed to be of the default order (fec->GetOrder()).

Definition at line 123 of file fespace.hpp.

Table* mfem::FiniteElementSpace::face_dof

mutableprotected

Definition at line 143 of file fespace.hpp.

Array<int> mfem::FiniteElementSpace::face_to_be

mutableprotected

Definition at line 149 of file fespace.hpp.

const FiniteElementCollection* mfem::FiniteElementSpace::fec

protected

Associated FE collection (not owned).

Definition at line 108 of file fespace.hpp.

OperatorHandle mfem::FiniteElementSpace::L2E_lex

mutableprotected

Definition at line 168 of file fespace.hpp.

OperatorHandle mfem::FiniteElementSpace::L2E_nat

mutableprotected

The element restriction operators, see GetElementRestriction().

Definition at line 168 of file fespace.hpp.

map_L2F mfem::FiniteElementSpace::L2F

mutableprotected

Definition at line 182 of file fespace.hpp.

constexpr int mfem::FiniteElementSpace::MaxVarOrder = 8*sizeof(VarOrderBits) - 1

staticprotected

Definition at line 221 of file fespace.hpp.

Mesh* mfem::FiniteElementSpace::mesh

protected

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

Definition at line 105 of file fespace.hpp.

long mfem::FiniteElementSpace::mesh_sequence

protected

Mesh sequence number last seen when constructing the space. The space needs updating if Mesh::GetSequence() is larger than this.

Definition at line 194 of file fespace.hpp.

int mfem::FiniteElementSpace::nbdofs

protected

Definition at line 125 of file fespace.hpp.

int mfem::FiniteElementSpace::ndofs

protected

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

Definition at line 119 of file fespace.hpp.

int mfem::FiniteElementSpace::nedofs

protected

Definition at line 125 of file fespace.hpp.

int mfem::FiniteElementSpace::nfdofs

protected

Definition at line 125 of file fespace.hpp.

NURBSExtension* mfem::FiniteElementSpace::NURBSext

protected

Definition at line 147 of file fespace.hpp.

int mfem::FiniteElementSpace::nvdofs

protected

Definition at line 125 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 116 of file fespace.hpp.

bool mfem::FiniteElementSpace::orders_changed

protected

True if at least one element order changed (variable-order space only).

Definition at line 197 of file fespace.hpp.

int mfem::FiniteElementSpace::own_ext

protected

Definition at line 148 of file fespace.hpp.

bool mfem::FiniteElementSpace::relaxed_hp

protected

Definition at line 199 of file fespace.hpp.

long mfem::FiniteElementSpace::sequence

protected

Update counter, incremented every time the space is constructed/updated. Used by GridFunctions to check if they are up to date with the space.

Definition at line 190 of file fespace.hpp.

OperatorHandle mfem::FiniteElementSpace::Th

protected

Transformation to apply to GridFunctions after space Update().

Definition at line 165 of file fespace.hpp.

int mfem::FiniteElementSpace::uni_fdof

protected

of single face DOFs if all faces uniform; -1 otherwise

Definition at line 126 of file fespace.hpp.

Table mfem::FiniteElementSpace::var_edge_dofs

protected

Variable order spaces only: DOF assignments for edges and faces, see docs in MakeDofTable. For constant order spaces the tables are empty.

Definition at line 131 of file fespace.hpp.

Array<char> mfem::FiniteElementSpace::var_edge_orders

protected

Additional data for the var_*_dofs tables: individual variant orders (these are basically alternate J arrays for var_edge/face_dofs).

Definition at line 136 of file fespace.hpp.

Table mfem::FiniteElementSpace::var_face_dofs

protected

NOTE: also used for spaces with mixed faces.

Definition at line 132 of file fespace.hpp.

Array<char> mfem::FiniteElementSpace::var_face_orders

protected

Definition at line 136 of file fespace.hpp.

int mfem::FiniteElementSpace::vdim

protected

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

Definition at line 111 of file fespace.hpp.

VDofTransformation mfem::FiniteElementSpace::VDoFTrans

mutableprotected

Definition at line 152 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

of single face DOFs if all faces uniform; -1 otherwise

Static Protected Attributes

Friends

Detailed Description

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

Friends And Related Function Documentation

Member Data Documentation

of single face DOFs if all faces uniform; -1 otherwise