#include <fem_extras.hpp>

Inheritance diagram for mfem::common::RT_FESpace:

Collaboration diagram for mfem::common::RT_FESpace:

Public Member Functions
	RT_FESpace (Mesh *m, const int p, const int space_dim, int vdim=1, int order=Ordering::byNODES)

	~RT_FESpace ()

Public Member Functions inherited from mfem::FiniteElementSpace
	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

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 Operator *	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 void	GetElementDofs (int elem, Array< int > &dofs) const
	Returns indices of degrees of freedom of element 'elem'. More...

virtual void	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

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

MFEM_DEPRECATED void	RebuildElementToDofTable ()
	( More...

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

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 ()

Additional Inherited Members
Static Public Member Functions inherited from mfem::FiniteElementSpace
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 inherited from mfem::FiniteElementSpace
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 inherited from mfem::FiniteElementSpace
void	UpdateNURBS ()

void	Construct ()

void	Destroy ()

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 DenseTensor localP[]) const

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

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

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

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

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

Table *	face_dof

Array< int >	dof_elem_array

Array< int >	dof_ldof_array

NURBSExtension *	NURBSext

int	own_ext

Array< int >	face_to_be

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

Detailed Description

The RT_FESpace class is a FiniteElementSpace which automatically allocates and destroys its own FiniteElementCollection, in this case an RT_FECollection object.

Definition at line 58 of file fem_extras.hpp.

Constructor & Destructor Documentation

mfem::common::RT_FESpace::RT_FESpace	(	Mesh *	m,
		const int	p,
		const int	space_dim,
		int	vdim = `1`,
		int	order = `Ordering::byNODES`
	)

Definition at line 47 of file fem_extras.cpp.

mfem::common::RT_FESpace::~RT_FESpace ( )

Definition at line 54 of file fem_extras.cpp.

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

miniapps/common/fem_extras.hpp
miniapps/common/fem_extras.cpp

Public Member Functions

Additional Inherited Members

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

Detailed Description

Constructor & Destructor Documentation