RT1TriangleFiniteElement Class Reference

#include <fe.hpp>

Inheritance diagram for RT1TriangleFiniteElement:

Collaboration diagram for RT1TriangleFiniteElement:

List of all members.

Public Member Functions
	RT1TriangleFiniteElement ()
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
Static Private Attributes
static const double	nk [8][2]

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Detailed Description

Definition at line 736 of file fe.hpp.

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Constructor & Destructor Documentation

RT1TriangleFiniteElement::RT1TriangleFiniteElement

(

)

Definition at line 2414 of file fe.cpp.

References IntegrationRule::IntPoint(), FiniteElement::Nodes, IntegrationPoint::x, and IntegrationPoint::y.

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Member Function Documentation

void RT1TriangleFiniteElement::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 2458 of file fe.cpp.

References IntegrationPoint::x, and IntegrationPoint::y.

virtual void RT1TriangleFiniteElement::CalcVShape	(	ElementTransformation &	Trans,
		DenseMatrix &	shape
	)		const [inline, virtual]

Reimplemented from FiniteElement.

Definition at line 747 of file fe.hpp.

References VectorFiniteElement::CalcVShape_RT().

void RT1TriangleFiniteElement::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 2435 of file fe.cpp.

References IntegrationPoint::x, and IntegrationPoint::y.

Referenced by GetLocalInterpolation().

void RT1TriangleFiniteElement::GetLocalInterpolation	(	ElementTransformation &	Trans,
		DenseMatrix &	I
	)		const [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 2481 of file fe.cpp.

References CalcAdjugateTranspose(), CalcVShape(), FiniteElement::Dim, FiniteElement::Dof, IntegrationRule::IntPoint(), ElementTransformation::Jacobian(), VectorFiniteElement::Jinv, mfem_error(), nk, FiniteElement::Nodes, ElementTransformation::SetIntPoint(), ElementTransformation::Transform(), VectorFiniteElement::vshape, IntegrationPoint::x, and IntegrationPoint::y.

void RT1TriangleFiniteElement::Project	(	VectorCoefficient &	vc,
		ElementTransformation &	Trans,
		Vector &	dofs
	)		const [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 2531 of file fe.cpp.

References CalcAdjugateTranspose(), FiniteElement::Dim, VectorCoefficient::Eval(), IntegrationRule::IntPoint(), ElementTransformation::Jacobian(), VectorFiniteElement::Jinv, nk, FiniteElement::Nodes, and ElementTransformation::SetIntPoint().

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Member Data Documentation

const double RT1TriangleFiniteElement::nk [static, private]

Initial value:

{
   { 0,-1}, { 0,-1},
   { 1, 1}, { 1, 1},
   {-1, 0}, {-1, 0},
   { 1, 0}, { 0, 1}
}

Definition at line 739 of file fe.hpp.

Referenced by GetLocalInterpolation(), and Project().

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

• fe.hpp
• fe.cpp