#include <fe.hpp>

Inheritance diagram for ND_TriangleElement:

Collaboration diagram for ND_TriangleElement:

Public Member Functions
	ND_TriangleElement (const int p)
virtual void	CalcVShape (const IntegrationPoint &ip, DenseMatrix &shape) const
virtual void	CalcVShape (ElementTransformation &Trans, DenseMatrix &shape) const
virtual void	CalcCurlShape (const IntegrationPoint &ip, DenseMatrix &curl_shape) 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
Array< int >	dof2tk
DenseMatrix	T
Static Private Attributes
static const double	tk [8]

Detailed Description

Definition at line 1666 of file fe.hpp.

Constructor & Destructor Documentation

ND_TriangleElement::ND_TriangleElement ( const int p )

Definition at line 8434 of file fe.cpp.

References c, Poly_1D::CalcBasis(), FiniteElement::Dim, FiniteElement::Dof, dof2tk, dshape_l, dshape_x, dshape_y, IntegrationRule::IntPoint(), DenseMatrix::Invert(), FiniteElement::Nodes, Poly_1D::OpenPoints(), IntegrationPoint::Set2(), DenseMatrix::SetSize(), Vector::SetSize(), shape_l, shape_x, shape_y, T, tk, u, IntegrationPoint::x, and IntegrationPoint::y.

Member Function Documentation

void ND_TriangleElement::CalcCurlShape	(	const IntegrationPoint &	ip,
		DenseMatrix &	curl_shape
	)		const `[virtual]`

pure virtual function which evaluates the values of the curl all shape functions at a given point ip and stores them in the matrix curl_shape (Dof x Dim) so that each row contains the curl of one shape function

Reimplemented from FiniteElement.

Definition at line 8545 of file fe.cpp.

References mfem_error().

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

Reimplemented from FiniteElement.

Definition at line 1682 of file fe.hpp.

References VectorFiniteElement::CalcVShape_ND().

void ND_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 8512 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 ND_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 1687 of file fe.hpp.

References dof2tk, VectorFiniteElement::LocalInterpolation_ND(), and tk.

virtual void ND_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 1691 of file fe.hpp.

References dof2tk, VectorFiniteElement::Project_ND(), and tk.

virtual void ND_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 1694 of file fe.hpp.

References dof2tk, VectorFiniteElement::Project_ND(), and tk.

virtual void ND_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 1698 of file fe.hpp.

References dof2tk, VectorFiniteElement::ProjectGrad_ND(), and tk.