MFEM  v3.1 Finite element discretization library
mfem::BiLinear2DFiniteElement Class Reference

Class for bilinear FE on quadrilateral. More...

`#include <fe.hpp>`

Inheritance diagram for mfem::BiLinear2DFiniteElement:
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Collaboration diagram for mfem::BiLinear2DFiniteElement:
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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 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 IntegrationRuleGetNodes () 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 ()

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: