MFEM  v3.3
Finite element discretization library
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mfem::ND_QuadrilateralElement Class Reference

#include <fe.hpp>

Inheritance diagram for mfem::ND_QuadrilateralElement:
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Collaboration diagram for mfem::ND_QuadrilateralElement:
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Public Member Functions

 ND_QuadrilateralElement (const int p, const int cp_type=Quadrature1D::GaussLobatto, const int op_type=Quadrature1D::GaussLegendre)
 
virtual void CalcVShape (const IntegrationPoint &ip, DenseMatrix &shape) const
 Evaluate the values of all shape functions of a vector finite element in reference space at the given point ip. More...
 
virtual void CalcVShape (ElementTransformation &Trans, DenseMatrix &shape) const
 Evaluate the values of all shape functions of a vector finite element in physical space at the point described by Trans. More...
 
virtual void CalcCurlShape (const IntegrationPoint &ip, DenseMatrix &curl_shape) const
 Evaluate the curl of all shape functions of a vector finite element in reference space at the given point ip. More...
 
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
 
- Public Member Functions inherited from mfem::VectorFiniteElement
 VectorFiniteElement (int D, int G, int Do, int O, int M, int F=FunctionSpace::Pk)
 
 FiniteElement (D, G, Do, O, F)
 
 Jinv (D)
 
- 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 reference space dimension for the finite element. More...
 
int GetGeomType () const
 Returns the Geometry::Type of the reference element. More...
 
int GetDof () const
 Returns the number of degrees of freedom in the finite element. 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 GetDerivRangeType () const
 
int GetMapType () const
 
int GetDerivType () const
 
int GetDerivMapType () const
 
void CalcPhysShape (ElementTransformation &Trans, Vector &shape) const
 Evaluate the values of all shape functions of a scalar finite element in physical space at the point described by Trans. More...
 
void CalcPhysDShape (ElementTransformation &Trans, DenseMatrix &dshape) const
 Evaluate the gradients of all shape functions of a scalar finite element in physical space at the point described by Trans. More...
 
const IntegrationRuleGetNodes () const
 
void CalcPhysVShape (ElementTransformation &Trans, DenseMatrix &shape) const
 Equivalent to the CalcVShape() method with the same arguments. More...
 
virtual void CalcDivShape (const IntegrationPoint &ip, Vector &divshape) const
 Evaluate the divergence of all shape functions of a vector finite element in reference space at the given point ip. More...
 
void CalcPhysDivShape (ElementTransformation &Trans, Vector &divshape) const
 Evaluate the divergence of all shape functions of a vector finite element in physical space at the point described by Trans. More...
 
void CalcPhysCurlShape (ElementTransformation &Trans, DenseMatrix &curl_shape) const
 Evaluate the curl of all shape functions of a vector finite element in physical space at the point described by Trans. More...
 
virtual void GetFaceDofs (int face, int **dofs, int *ndofs) const
 
virtual void CalcHessian (const IntegrationPoint &ip, DenseMatrix &h) const
 
virtual void Project (Coefficient &coeff, ElementTransformation &Trans, Vector &dofs) const
 
virtual void ProjectDelta (int vertex, Vector &dofs) const
 
virtual void ProjectCurl (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &curl) const
 
virtual void ProjectDiv (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &div) const
 
virtual ~FiniteElement ()
 

Additional Inherited Members

- Public Types inherited from mfem::FiniteElement
enum  { SCALAR, VECTOR }
 Enumeration for RangeType and DerivRangeType. More...
 
enum  { VALUE, INTEGRAL, H_DIV, H_CURL }
 Enumeration for MapType: defines how reference functions are mapped to physical space. More...
 
enum  { NONE, GRAD, DIV, CURL }
 Enumeration for DerivType: defines which derivative method is implemented. More...
 
- Static Public Member Functions inherited from mfem::FiniteElement
static int VerifyClosed (int pt_type)
 
static int VerifyOpen (int pt_type)
 
- Protected Member Functions inherited from mfem::VectorFiniteElement
void SetDerivMembers ()
 
void CalcVShape_RT (ElementTransformation &Trans, DenseMatrix &shape) const
 
void CalcVShape_ND (ElementTransformation &Trans, DenseMatrix &shape) const
 
void Project_RT (const double *nk, const Array< int > &d2n, VectorCoefficient &vc, ElementTransformation &Trans, Vector &dofs) const
 
void Project_RT (const double *nk, const Array< int > &d2n, const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &I) const
 
void ProjectGrad_RT (const double *nk, const Array< int > &d2n, const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &grad) const
 
void ProjectCurl_ND (const double *tk, const Array< int > &d2t, const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &curl) const
 
void ProjectCurl_RT (const double *nk, const Array< int > &d2n, const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &curl) const
 
void Project_ND (const double *tk, const Array< int > &d2t, VectorCoefficient &vc, ElementTransformation &Trans, Vector &dofs) const
 
void Project_ND (const double *tk, const Array< int > &d2t, const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &I) const
 
void ProjectGrad_ND (const double *tk, const Array< int > &d2t, const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &grad) const
 
void LocalInterpolation_RT (const double *nk, const Array< int > &d2n, ElementTransformation &Trans, DenseMatrix &I) const
 
void LocalInterpolation_ND (const double *tk, const Array< int > &d2t, ElementTransformation &Trans, DenseMatrix &I) const
 
- Protected Attributes inherited from mfem::VectorFiniteElement
DenseMatrix J
 
DenseMatrix Jinv
 
DenseMatrix curlshape
 
DenseMatrix curlshape_J
 
- Protected Attributes inherited from mfem::FiniteElement
int Dim
 Dimension of reference space. More...
 
int GeomType
 Geometry::Type of the reference element. More...
 
int Dof
 Number of degrees of freedom. More...
 
int Order
 Order/degree of the shape functions. More...
 
int FuncSpace
 
int RangeType
 
int MapType
 
int DerivType
 
int DerivRangeType
 
int DerivMapType
 
IntegrationRule Nodes
 
DenseMatrix vshape
 

Detailed Description

Definition at line 2070 of file fe.hpp.

Constructor & Destructor Documentation

mfem::ND_QuadrilateralElement::ND_QuadrilateralElement ( const int  p,
const int  cp_type = Quadrature1D::GaussLobatto,
const int  op_type = Quadrature1D::GaussLegendre 
)

Definition at line 10223 of file fe.cpp.

Member Function Documentation

void mfem::ND_QuadrilateralElement::CalcCurlShape ( const IntegrationPoint ip,
DenseMatrix curl_shape 
) const
virtual

Evaluate the curl of all shape functions of a vector finite element in reference space at the given point ip.

Each row of the result DenseMatrix curl_shape contains the components of the curl of one vector shape function. The size (Dof x CDim) of curl_shape must be set in advance, where CDim = 3 for Dim = 3 and CDim = 1 for Dim = 2.

Reimplemented from mfem::FiniteElement.

Definition at line 10361 of file fe.cpp.

void mfem::ND_QuadrilateralElement::CalcVShape ( const IntegrationPoint ip,
DenseMatrix shape 
) const
virtual

Evaluate the values of all shape functions of a vector finite element in reference space at the given point ip.

Each row of the result DenseMatrix shape contains the components of one vector shape function. The size (Dof x Dim) of shape must be set in advance.

Reimplemented from mfem::FiniteElement.

Definition at line 10312 of file fe.cpp.

virtual void mfem::ND_QuadrilateralElement::CalcVShape ( ElementTransformation Trans,
DenseMatrix shape 
) const
inlinevirtual

Evaluate the values of all shape functions of a vector finite element in physical space at the point described by Trans.

Each row of the result DenseMatrix shape contains the components of one vector shape function. The size (Dof x SDim) of shape must be set in advance, where SDim >= Dim is the physical space dimension as described by Trans.

Reimplemented from mfem::FiniteElement.

Definition at line 2087 of file fe.hpp.

virtual void mfem::ND_QuadrilateralElement::GetLocalInterpolation ( ElementTransformation Trans,
DenseMatrix I 
) const
inlinevirtual

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 mfem::FiniteElement.

Definition at line 2092 of file fe.hpp.

virtual void mfem::ND_QuadrilateralElement::Project ( VectorCoefficient vc,
ElementTransformation Trans,
Vector dofs 
) const
inlinevirtual

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 mfem::FiniteElement.

Definition at line 2096 of file fe.hpp.

virtual void mfem::ND_QuadrilateralElement::Project ( const FiniteElement fe,
ElementTransformation Trans,
DenseMatrix I 
) const
inlinevirtual

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 mfem::FiniteElement.

Definition at line 2099 of file fe.hpp.

virtual void mfem::ND_QuadrilateralElement::ProjectGrad ( const FiniteElement fe,
ElementTransformation Trans,
DenseMatrix grad 
) const
inlinevirtual

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 mfem::FiniteElement.

Definition at line 2103 of file fe.hpp.


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