#include <fe.hpp>

Inheritance diagram for RT_TetrahedronElement:

Collaboration diagram for RT_TetrahedronElement:

Public Member Functions
	RT_TetrahedronElement (const int p)
virtual void	CalcVShape (const IntegrationPoint &ip, DenseMatrix &shape) const
virtual void	CalcVShape (ElementTransformation &Trans, DenseMatrix &shape) const
virtual void	CalcDivShape (const IntegrationPoint &ip, Vector &divshape) const
virtual void	GetLocalInterpolation (ElementTransformation &Trans, DenseMatrix &I) const
virtual void	Project (VectorCoefficient &vc, ElementTransformation &Trans, Vector &dofs) const
virtual void	Project (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &I) const
virtual void	ProjectCurl (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &curl) const
Private Attributes
static const double	c = 1./4.
Vector	shape_x
Vector	shape_y
Vector	shape_z
Vector	shape_l
Vector	dshape_x
Vector	dshape_y
Vector	dshape_z
Vector	dshape_l
DenseMatrix	u
Vector	divu
Array< int >	dof2nk
DenseMatrix	T
Static Private Attributes
static const double	nk [12]

Detailed Description

Definition at line 1513 of file fe.hpp.

Constructor & Destructor Documentation

RT_TetrahedronElement::RT_TetrahedronElement ( const int p )

Definition at line 7593 of file fe.cpp.

References c, Poly_1D::CalcBasis(), FiniteElement::Dim, divu, FiniteElement::Dof, dof2nk, dshape_l, dshape_x, dshape_y, dshape_z, IntegrationRule::IntPoint(), DenseMatrix::Invert(), nk, FiniteElement::Nodes, Poly_1D::OpenPoints(), IntegrationPoint::Set3(), DenseMatrix::SetSize(), Vector::SetSize(), shape_l, shape_x, shape_y, shape_z, T, u, IntegrationPoint::x, IntegrationPoint::y, and IntegrationPoint::z.

Member Function Documentation

void RT_TetrahedronElement::CalcDivShape	(	const IntegrationPoint &	ip,
		Vector &	divshape
	)		const `[virtual]`

This virtual function evaluates the divergence of all shape functions at the given IntegrationPoint. The result is stored in the Vector divshape (of size Dof).

Reimplemented from FiniteElement.

Definition at line 7729 of file fe.cpp.

References c, Poly_1D::CalcBasis(), divu, FiniteElement::Dof, dshape_l, dshape_x, dshape_y, dshape_z, DenseMatrix::Mult, FiniteElement::Order, shape_l, shape_x, shape_y, shape_z, T, IntegrationPoint::x, IntegrationPoint::y, and IntegrationPoint::z.

virtual void RT_TetrahedronElement::CalcVShape	(	ElementTransformation &	Trans,
		DenseMatrix &	shape
	)		const `[inline, virtual]`

Reimplemented from FiniteElement.

Definition at line 1530 of file fe.hpp.

References VectorFiniteElement::CalcVShape_RT().

void RT_TetrahedronElement::CalcVShape	(	const IntegrationPoint &	ip,
		DenseMatrix &	shape
	)		const `[virtual]`

This virtual function evaluates the values of all components of all shape functions at the given IntegrationPoint. The result is stored in the DenseMatrix shape (Dof x Dim) so that each row contains the components of one shape function.

Reimplemented from FiniteElement.

Definition at line 7693 of file fe.cpp.

References c, Poly_1D::CalcBasis(), FiniteElement::Dim, FiniteElement::Dof, Mult(), FiniteElement::Order, shape_l, shape_x, shape_y, shape_z, T, u, IntegrationPoint::x, IntegrationPoint::y, and IntegrationPoint::z.

virtual void RT_TetrahedronElement::GetLocalInterpolation	(	ElementTransformation &	Trans,
		DenseMatrix &	I
	)		const `[inline, virtual]`

Return the local interpolation matrix I (Dof x Dof) where the fine element is the image of the base geometry under the given transformation.

Reimplemented from FiniteElement.

Definition at line 1535 of file fe.hpp.

References dof2nk, VectorFiniteElement::LocalInterpolation_RT(), and nk.

virtual void RT_TetrahedronElement::Project	(	VectorCoefficient &	vc,
		ElementTransformation &	Trans,
		Vector &	dofs
	)		const `[inline, virtual]`

Given a vector coefficient and a transformation, compute its projection (approximation) in the local finite dimensional space in terms of the degrees of freedom. (VectorFiniteElements)

Reimplemented from FiniteElement.

Definition at line 1539 of file fe.hpp.

References dof2nk, nk, and VectorFiniteElement::Project_RT().

virtual void RT_TetrahedronElement::Project	(	const FiniteElement &	fe,
		ElementTransformation &	Trans,
		DenseMatrix &	I
	)		const `[inline, virtual]`

Compute the embedding/projection matrix from the given FiniteElement onto 'this' FiniteElement. The ElementTransformation is included to support cases when the projection depends on it.

Reimplemented from FiniteElement.

Definition at line 1542 of file fe.hpp.

References dof2nk, nk, and VectorFiniteElement::Project_RT().

virtual void RT_TetrahedronElement::ProjectCurl	(	const FiniteElement &	fe,
		ElementTransformation &	Trans,
		DenseMatrix &	curl
	)		const `[inline, virtual]`

Compute the discrete curl matrix from the given FiniteElement onto 'this' FiniteElement. The ElementTransformation is included to support cases when the matrix depends on it.

Reimplemented from FiniteElement.

Definition at line 1545 of file fe.hpp.

References dof2nk, nk, and VectorFiniteElement::ProjectCurl_RT().