MFEM  v3.4 Finite element discretization library

#include <fe.hpp>

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Public Member Functions

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 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...

virtual void GetLocalInterpolation (ElementTransformation &Trans, DenseMatrix &I) const
Return the local interpolation matrix I (Dof x Dof) where the fine element is the image of the base geometry under the given transformation. More...

virtual void Project (VectorCoefficient &vc, ElementTransformation &Trans, Vector &dofs) 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. In the case of anisotropic orders, returns the maximum order. More...

bool HasAnisotropicOrders () const
Returns true if the FiniteElement basis may be using different orders/degrees in different spatial directions. More...

const int * GetAnisotropicOrders () const
Returns an array containing the anisotropic orders/degrees. 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...

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...

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...

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 GetTransferMatrix (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &I) const
Return interpolation matrix, I, which maps dofs from a coarse element, fe, to the fine dofs on this finite element. More...

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

virtual void ProjectMatrixCoefficient (MatrixCoefficient &mc, ElementTransformation &T, Vector &dofs) const

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

virtual void Project (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &I) 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 ()

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 bool IsClosedType (int b_type)

static bool IsOpenType (int b_type)

static int VerifyClosed (int b_type)

static int VerifyOpen (int b_type)

static int VerifyNodal (int b_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 ProjectMatrixCoefficient_RT (const double *nk, const Array< int > &d2n, MatrixCoefficient &mc, ElementTransformation &T, 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 ProjectMatrixCoefficient_ND (const double *tk, const Array< int > &d2t, MatrixCoefficient &mc, ElementTransformation &T, 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 VectorFiniteElement &cfe, const double *nk, const Array< int > &d2n, ElementTransformation &Trans, DenseMatrix &I) const

void LocalInterpolation_ND (const VectorFiniteElement &cfe, const double *tk, const Array< int > &d2t, ElementTransformation &Trans, DenseMatrix &I) const

Static Protected Member Functions inherited from mfem::VectorFiniteElement
static const VectorFiniteElementCheckVectorFE (const FiniteElement &fe)

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 FuncSpace

int RangeType

int MapType

int DerivType

int DerivRangeType

int DerivMapType

int Dof
Number of degrees of freedom. More...

int Order
Order/degree of the shape functions. More...

int Orders [Geometry::MaxDim]
Anisotropic orders. More...

IntegrationRule Nodes

DenseMatrix vshape

Detailed Description

Definition at line 1178 of file fe.hpp.

Constructor & Destructor Documentation

Definition at line 3327 of file fe.cpp.

Member Function Documentation

 void mfem::RT2QuadFiniteElement::CalcDivShape ( const IntegrationPoint & ip, Vector & divshape ) const
virtual

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

The size (Dof) of the result Vector divshape must be set in advance.

Reimplemented from mfem::FiniteElement.

Definition at line 3464 of file fe.cpp.

 void mfem::RT2QuadFiniteElement::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 3364 of file fe.cpp.

 virtual void mfem::RT2QuadFiniteElement::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 1191 of file fe.hpp.

 void mfem::RT2QuadFiniteElement::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 mfem::FiniteElement.

Definition at line 3562 of file fe.cpp.

 void mfem::RT2QuadFiniteElement::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 mfem::FiniteElement.

Definition at line 3614 of file fe.cpp.

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