Arbitrary order H(div)-conforming Raviart-Thomas finite elements. More...

#include <fe_coll.hpp>

Inheritance diagram for mfem::RT_FECollection:

Collaboration diagram for mfem::RT_FECollection:

Public Member Functions
	RT_FECollection (const int p, const int dim, const int cb_type=BasisType::GaussLobatto, const int ob_type=BasisType::GaussLegendre)
	Construct an H(div)-conforming Raviart-Thomas FE collection, RT_p.

const FiniteElement *	FiniteElementForGeometry (Geometry::Type GeomType) const override

int	DofForGeometry (Geometry::Type GeomType) const override

const int *	DofOrderForOrientation (Geometry::Type GeomType, int Or) const override
	Returns an array, say p, that maps a local permuted index i to a local base index: base_i = p[i].

const char *	Name () const override

int	GetContType () const override

FiniteElementCollection *	GetTraceCollection () const override

int	GetClosedBasisType () const

int	GetOpenBasisType () const

FiniteElementCollection *	Clone (int p) const override
	Instantiate a new collection of the same type with a different order.

virtual	~RT_FECollection ()

Public Member Functions inherited from mfem::FiniteElementCollection
virtual const FiniteElement *	FiniteElementForDim (int dim) const
	Returns the first non-NULL FiniteElement for the given dimension.

virtual const StatelessDofTransformation *	DofTransformationForGeometry (Geometry::Type GeomType) const
	Returns a DoF transformation object compatible with this basis and geometry type.

int	HasFaceDofs (Geometry::Type geom, int p) const

virtual const FiniteElement *	TraceFiniteElementForGeometry (Geometry::Type GeomType) const

virtual	~FiniteElementCollection ()

void	SubDofOrder (Geometry::Type Geom, int SDim, int Info, Array< int > &dofs) const
	Get the local dofs for a given sub-manifold.

const FiniteElement *	GetFE (Geometry::Type geom, int p) const
	Variable order version of FiniteElementForGeometry().

int	GetNumDof (Geometry::Type geom, int p) const
	Variable order version of DofForGeometry().

const int *	GetDofOrdering (Geometry::Type geom, int p, int ori) const
	Variable order version of DofOrderForOrientation().

int	GetOrder () const
	Return the order (polynomial degree) of the FE collection, corresponding to the order/degree returned by FiniteElement::GetOrder() of the highest-dimensional FiniteElements defined by the collection.

int	GetRangeType (int dim) const

int	GetDerivRangeType (int dim) const

int	GetMapType (int dim) const

int	GetDerivType (int dim) const

int	GetDerivMapType (int dim) const

int	GetRangeDim (int dim) const

Protected Member Functions
void	InitFaces (const int p, const int dim, const int map_type, const bool signs)

	RT_FECollection (const int p, const int dim, const int map_type, const bool signs, const int ob_type=BasisType::GaussLegendre)

Protected Member Functions inherited from mfem::FiniteElementCollection
	FiniteElementCollection ()

	FiniteElementCollection (int p)

void	InitVarOrder (int p) const

Protected Attributes
int	dim

int	cb_type

int	ob_type

char	rt_name [32]

FiniteElement *	RT_Elements [Geometry::NumGeom]

int	RT_dof [Geometry::NumGeom]

int *	SegDofOrd [2]

int *	TriDofOrd [6]

int *	QuadDofOrd [8]

Protected Attributes inherited from mfem::FiniteElementCollection
const int	base_p
	Order as returned by GetOrder().

Array< FiniteElementCollection * >	var_orders

ErrorMode	error_mode = RAISE_MFEM_ERROR
	How to treat errors in FiniteElementForGeometry() calls.

Additional Inherited Members
Public Types inherited from mfem::FiniteElementCollection
enum	{ CONTINUOUS , TANGENTIAL , NORMAL , DISCONTINUOUS }
	Enumeration for ContType: defines the continuity of the field across element interfaces. More...

Static Public Member Functions inherited from mfem::FiniteElementCollection
static FiniteElementCollection *	New (const char *name)
	Factory method: return a newly allocated FiniteElementCollection according to the given name.

Protected Types inherited from mfem::FiniteElementCollection
enum	ErrorMode { RETURN_NULL , RAISE_MFEM_ERROR }
	How to treat errors in FiniteElementForGeometry() calls. More...

Static Protected Member Functions inherited from mfem::FiniteElementCollection
template<Geometry::Type geom>
static void	GetNVE (int &nv, int &ne)

template<Geometry::Type geom, typename v_t >
static void	GetEdge (int &nv, v_t &v, int &ne, int &e, int &eo, const int edge_info)

template<Geometry::Type geom, Geometry::Type f_geom, typename v_t , typename e_t , typename eo_t >
static void	GetFace (int &nv, v_t &v, int &ne, e_t &e, eo_t &eo, int &nf, int &f, Geometry::Type &fg, int &fo, const int face_info)

Detailed Description

Arbitrary order H(div)-conforming Raviart-Thomas finite elements.

Definition at line 385 of file fe_coll.hpp.

Constructor & Destructor Documentation

◆ RT_FECollection() [1/2]

mfem::RT_FECollection::RT_FECollection	(	const int	p,
		const int	dim,
		const int	map_type,
		const bool	signs,
		const int	ob_type = BasisType::GaussLegendre )

protected

Definition at line 2463 of file fe_coll.cpp.

◆ RT_FECollection() [2/2]

mfem::RT_FECollection::RT_FECollection	(	const int	p,
		const int	dim,
		const int	cb_type = BasisType::GaussLobatto,
		const int	ob_type = BasisType::GaussLegendre )

Construct an H(div)-conforming Raviart-Thomas FE collection, RT_p.

The index p corresponds to the space RT_p, as typically denoted in the literature, which contains vector polynomials of degree up to (p+1). For example, the RT_0 collection contains vector-valued linear functions and, in particular, FiniteElementCollection::GetOrder() will, correspondingly, return order 1.

Definition at line 2390 of file fe_coll.cpp.

◆ ~RT_FECollection()

mfem::RT_FECollection::~RT_FECollection ( )

virtual

Definition at line 2648 of file fe_coll.cpp.

Member Function Documentation

◆ Clone()

FiniteElementCollection * mfem::RT_FECollection::Clone ( int p ) const

inlineoverridevirtual

Instantiate a new collection of the same type with a different order.

Generally, the order parameter p is NOT the same as the parameter p used by some of the constructors of derived classes. Instead, this p represents the order of the new FE collection as it will be returned by its GetOrder() method.

Reimplemented from mfem::FiniteElementCollection.

Definition at line 435 of file fe_coll.hpp.

◆ DofForGeometry()

int mfem::RT_FECollection::DofForGeometry ( Geometry::Type GeomType ) const

inlineoverridevirtual

Implements mfem::FiniteElementCollection.

Definition at line 420 of file fe_coll.hpp.

◆ DofOrderForOrientation()

const int * mfem::RT_FECollection::DofOrderForOrientation	(	Geometry::Type	GeomType,
		int	Or ) const

overridevirtual

Returns an array, say p, that maps a local permuted index i to a local base index: base_i = p[i].

Note: Only provides information about interior dofs. See FiniteElementCollection::SubDofOrder if interior and boundary dof order is needed.

Implements mfem::FiniteElementCollection.

Definition at line 2613 of file fe_coll.cpp.

◆ FiniteElementForGeometry()

const FiniteElement * mfem::RT_FECollection::FiniteElementForGeometry ( Geometry::Type GeomType ) const

overridevirtual

Implements mfem::FiniteElementCollection.

Definition at line 2598 of file fe_coll.cpp.

◆ GetClosedBasisType()

int mfem::RT_FECollection::GetClosedBasisType ( ) const

inline

Definition at line 432 of file fe_coll.hpp.

◆ GetContType()

int mfem::RT_FECollection::GetContType ( ) const

inlineoverridevirtual

Implements mfem::FiniteElementCollection.

Definition at line 428 of file fe_coll.hpp.

◆ GetOpenBasisType()

int mfem::RT_FECollection::GetOpenBasisType ( ) const

inline

Definition at line 433 of file fe_coll.hpp.

◆ GetTraceCollection()

FiniteElementCollection * mfem::RT_FECollection::GetTraceCollection ( ) const

overridevirtual

Reimplemented from mfem::FiniteElementCollection.

Definition at line 2631 of file fe_coll.cpp.

◆ InitFaces()

void mfem::RT_FECollection::InitFaces	(	const int	p,
		const int	dim,
		const int	map_type,
		const bool	signs )

protected

Definition at line 2478 of file fe_coll.cpp.

◆ Name()

const char * mfem::RT_FECollection::Name ( ) const

inlineoverridevirtual

Reimplemented from mfem::FiniteElementCollection.

Definition at line 426 of file fe_coll.hpp.

Member Data Documentation

◆ cb_type

int mfem::RT_FECollection::cb_type

protected

Definition at line 389 of file fe_coll.hpp.

◆ dim

int mfem::RT_FECollection::dim

protected

Definition at line 388 of file fe_coll.hpp.

◆ ob_type

int mfem::RT_FECollection::ob_type

protected

Definition at line 390 of file fe_coll.hpp.

◆ QuadDofOrd

int * mfem::RT_FECollection::QuadDofOrd[8]

protected

Definition at line 394 of file fe_coll.hpp.

◆ RT_dof

int mfem::RT_FECollection::RT_dof[Geometry::NumGeom]

protected

Definition at line 393 of file fe_coll.hpp.

◆ RT_Elements

FiniteElement* mfem::RT_FECollection::RT_Elements[Geometry::NumGeom]

protected

Definition at line 392 of file fe_coll.hpp.

◆ rt_name

char mfem::RT_FECollection::rt_name[32]

protected

Definition at line 391 of file fe_coll.hpp.

◆ SegDofOrd

int* mfem::RT_FECollection::SegDofOrd[2]

protected

Definition at line 394 of file fe_coll.hpp.

◆ TriDofOrd

int * mfem::RT_FECollection::TriDofOrd[6]

protected

Definition at line 394 of file fe_coll.hpp.

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

fem/fe_coll.hpp
fem/fe_coll.cpp

Public Member Functions

Protected Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ RT_FECollection() [1/2]

◆ RT_FECollection() [2/2]

◆ ~RT_FECollection()

Member Function Documentation

◆ Clone()

◆ DofForGeometry()

◆ DofOrderForOrientation()

◆ FiniteElementForGeometry()

◆ GetClosedBasisType()

◆ GetContType()

◆ GetOpenBasisType()

◆ GetTraceCollection()

◆ InitFaces()

◆ Name()

Member Data Documentation

◆ cb_type

◆ dim

◆ ob_type

◆ QuadDofOrd

◆ RT_dof

◆ RT_Elements

◆ rt_name

◆ SegDofOrd

◆ TriDofOrd