#include <fe.hpp>

Inheritance diagram for RT_TriangleElement:

Collaboration diagram for RT_TriangleElement:

Public Member Functions
	RT_TriangleElement (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	ProjectGrad (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &grad) const
Private Attributes
static const double	c = 1./3.
Vector	shape_x
Vector	shape_y
Vector	shape_l
Vector	dshape_x
Vector	dshape_y
Vector	dshape_l
DenseMatrix	u
Vector	divu
Array< int >	dof2nk
DenseMatrix	T
Static Private Attributes
static const double	nk [6]

Detailed Description

Definition at line 1474 of file fe.hpp.

Constructor & Destructor Documentation

RT_TriangleElement::RT_TriangleElement ( const int p )

Definition at line 7444 of file fe.cpp.

References c, Poly_1D::CalcBasis(), FiniteElement::Dim, divu, FiniteElement::Dof, dof2nk, dshape_l, dshape_x, dshape_y, IntegrationRule::IntPoint(), DenseMatrix::Invert(), nk, FiniteElement::Nodes, Poly_1D::OpenPoints(), IntegrationPoint::Set2(), DenseMatrix::SetSize(), Vector::SetSize(), shape_l, shape_x, shape_y, T, u, IntegrationPoint::x, and IntegrationPoint::y.

Member Function Documentation

void RT_TriangleElement::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 7551 of file fe.cpp.

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

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

Reimplemented from FiniteElement.

Definition at line 1491 of file fe.hpp.

References VectorFiniteElement::CalcVShape_RT().

void RT_TriangleElement::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 7520 of file fe.cpp.

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

virtual void RT_TriangleElement::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 1496 of file fe.hpp.

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

virtual void RT_TriangleElement::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 1500 of file fe.hpp.

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

virtual void RT_TriangleElement::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 1503 of file fe.hpp.

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

virtual void RT_TriangleElement::ProjectGrad	(	const FiniteElement &	fe,
		ElementTransformation &	Trans,
		DenseMatrix &	grad
	)		const `[inline, virtual]`

Compute the discrete gradient 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 1506 of file fe.hpp.

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