Class for bilinear FE on quadrilateral. More...

#include <fe.hpp>

Inheritance diagram for mfem::BiLinear2DFiniteElement:

Collaboration diagram for mfem::BiLinear2DFiniteElement:

Public Member Functions
	BiLinear2DFiniteElement ()
	Construct a bilinear FE on quadrilateral. More...

virtual void	CalcShape (const IntegrationPoint &ip, Vector &shape) const

virtual void	CalcDShape (const IntegrationPoint &ip, DenseMatrix &dshape) const

virtual void	CalcHessian (const IntegrationPoint &ip, DenseMatrix &h) const

virtual void	ProjectDelta (int vertex, Vector &dofs) const

Public Member Functions inherited from mfem::NodalFiniteElement
	NodalFiniteElement (int D, int G, int Do, int O, int F=FunctionSpace::Pk)

virtual void	GetLocalInterpolation (ElementTransformation &Trans, DenseMatrix &I) const

virtual void	Project (Coefficient &coeff, ElementTransformation &Trans, Vector &dofs) 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

virtual void	ProjectDiv (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &div) const

Public Member Functions inherited from mfem::FiniteElement
	FiniteElement (int D, int G, int Do, int O, int F=FunctionSpace::Pk)

int	GetDim () const
	Returns the space dimension for the finite element. More...

int	GetGeomType () const
	Returns the geometry type: More...

int	GetDof () const
	Returns the degrees of freedom in the FE space. More...

int	GetOrder () const
	Returns the order of the finite element. More...

int	Space () const
	Returns the type of space on each element. More...

int	GetRangeType () const

int	GetMapType () const

const IntegrationRule &	GetNodes () const

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	CalcCurlShape (const IntegrationPoint &ip, DenseMatrix &curl_shape) const

virtual void	GetFaceDofs (int face, int *dofs, int ndofs) const

virtual void	ProjectCurl (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &curl) const

virtual	~FiniteElement ()

Additional Inherited Members
Public Types inherited from mfem::FiniteElement
enum	{ SCALAR, VECTOR }
	Enumeration for RangeType. More...

enum	{ VALUE, INTEGRAL, H_DIV, H_CURL }

Protected Member Functions inherited from mfem::NodalFiniteElement
void	NodalLocalInterpolation (ElementTransformation &Trans, DenseMatrix &I, const NodalFiniteElement &fine_fe) const

void	ProjectCurl_2D (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &curl) const

Protected Attributes inherited from mfem::NodalFiniteElement
Vector	c_shape

Protected Attributes inherited from mfem::FiniteElement
int	Dim

int	GeomType

int	Dof

int	Order

int	FuncSpace

int	RangeType

int	MapType

IntegrationRule	Nodes

Detailed Description

Class for bilinear FE on quadrilateral.

Definition at line 396 of file fe.hpp.

Constructor & Destructor Documentation

mfem::BiLinear2DFiniteElement::BiLinear2DFiniteElement ( )

Construct a bilinear FE on quadrilateral.

Definition at line 788 of file fe.cpp.

Member Function Documentation

void mfem::BiLinear2DFiniteElement::CalcDShape	(	const IntegrationPoint &	ip,
		DenseMatrix &	dshape
	)		const

virtual

virtual function which evaluates the values of all partial derivatives of all shape functions at a given point ip and stores them in the matrix dshape (Dof x Dim) (4 x 2) so that each row contains the derivatives of one shape function

Implements mfem::FiniteElement.

Definition at line 810 of file fe.cpp.

void mfem::BiLinear2DFiniteElement::CalcHessian	(	const IntegrationPoint &	ip,
		DenseMatrix &	h
	)		const

virtual

each row of h contains the upper triangular part of the hessian of one shape function; the order in 2D is {u_xx, u_xy, u_yy}

Reimplemented from mfem::FiniteElement.

Definition at line 819 of file fe.cpp.

void mfem::BiLinear2DFiniteElement::CalcShape	(	const IntegrationPoint &	ip,
		Vector &	shape
	)		const

virtual

virtual function which evaluates the values of all shape functions at a given point ip and stores them in the vector shape of dimension Dof (4)

Implements mfem::FiniteElement.

Definition at line 801 of file fe.cpp.

virtual void mfem::BiLinear2DFiniteElement::ProjectDelta	(	int	vertex,
		Vector &	dofs
	)		const

inlinevirtual

Compute a representation (up to multiplicative constant) for the delta function at the vertex with the given index.

Reimplemented from mfem::FiniteElement.

Definition at line 415 of file fe.hpp.

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

Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation