RT1QuadFiniteElement Class Reference

#include <fe.hpp>

Inheritance diagram for RT1QuadFiniteElement:

Collaboration diagram for RT1QuadFiniteElement:

List of all members.

Public Member Functions
	RT1QuadFiniteElement ()
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 [12][2]

---

Detailed Description

Definition at line 763 of file fe.hpp.

---

Constructor & Destructor Documentation

RT1QuadFiniteElement::RT1QuadFiniteElement

(

)

Definition at line 2554 of file fe.cpp.

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

---

Member Function Documentation

void RT1QuadFiniteElement::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 2626 of file fe.cpp.

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

virtual void RT1QuadFiniteElement::CalcVShape	(	ElementTransformation &	Trans,
		DenseMatrix &	shape
	)		const [inline, virtual]

Reimplemented from FiniteElement.

Definition at line 774 of file fe.hpp.

References VectorFiniteElement::CalcVShape_RT().

void RT1QuadFiniteElement::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 2589 of file fe.cpp.

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

Referenced by GetLocalInterpolation().

void RT1QuadFiniteElement::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 2661 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 RT1QuadFiniteElement::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 2711 of file fe.cpp.

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

---

Member Data Documentation

const double RT1QuadFiniteElement::nk [static, private]

Initial value:

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

Definition at line 766 of file fe.hpp.

Referenced by GetLocalInterpolation(), and Project().

---

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

• fe.hpp
• fe.cpp