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. More...

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

virtual int	DofForGeometry (Geometry::Type GeomType) const

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

virtual const char *	Name () const

virtual int	GetContType () const

FiniteElementCollection *	GetTraceCollection () const

int	GetClosedBasisType () const

int	GetOpenBasisType () const

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

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. More...

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

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. More...

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

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

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

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. More...

virtual int	GetRangeType (int dim) const

virtual int	GetDerivRangeType (int dim) const

virtual int	GetMapType (int dim) const

virtual int	GetDerivType (int dim) const

virtual int	GetDerivMapType (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(). More...

Array< FiniteElementCollection * >	var_orders

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

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. More...

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 380 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 2453 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 2380 of file fe_coll.cpp.

◆ ~RT_FECollection()

mfem::RT_FECollection::~RT_FECollection ( )

virtual

Definition at line 2638 of file fe_coll.cpp.

Member Function Documentation

◆ Clone()

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

inlinevirtual

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 425 of file fe_coll.hpp.

◆ DofForGeometry()

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

inlinevirtual

Implements mfem::FiniteElementCollection.

Definition at line 414 of file fe_coll.hpp.

◆ DofOrderForOrientation()

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

virtual

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 2603 of file fe_coll.cpp.

◆ FiniteElementForGeometry()

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

virtual

Implements mfem::FiniteElementCollection.

Definition at line 2588 of file fe_coll.cpp.

◆ GetClosedBasisType()

int mfem::RT_FECollection::GetClosedBasisType ( ) const

inline

Definition at line 422 of file fe_coll.hpp.

◆ GetContType()

virtual int mfem::RT_FECollection::GetContType ( ) const

inlinevirtual

Implements mfem::FiniteElementCollection.

Definition at line 419 of file fe_coll.hpp.

◆ GetOpenBasisType()

int mfem::RT_FECollection::GetOpenBasisType ( ) const

inline

Definition at line 423 of file fe_coll.hpp.

◆ GetTraceCollection()

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

virtual

Reimplemented from mfem::FiniteElementCollection.

Definition at line 2621 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 2468 of file fe_coll.cpp.

◆ Name()

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

inlinevirtual

Reimplemented from mfem::FiniteElementCollection.

Definition at line 418 of file fe_coll.hpp.

Member Data Documentation

◆ cb_type

int mfem::RT_FECollection::cb_type

protected

Definition at line 384 of file fe_coll.hpp.

◆ dim

int mfem::RT_FECollection::dim

protected

Definition at line 383 of file fe_coll.hpp.

◆ ob_type

int mfem::RT_FECollection::ob_type

protected

Definition at line 385 of file fe_coll.hpp.

◆ QuadDofOrd

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

protected

Definition at line 389 of file fe_coll.hpp.

◆ RT_dof

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

protected

Definition at line 388 of file fe_coll.hpp.

◆ RT_Elements

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

protected

Definition at line 387 of file fe_coll.hpp.

◆ rt_name

char mfem::RT_FECollection::rt_name[32]

protected

Definition at line 386 of file fe_coll.hpp.

◆ SegDofOrd

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

protected

Definition at line 389 of file fe_coll.hpp.

◆ TriDofOrd

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

protected

Definition at line 389 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