MFEM  v4.3.0
Finite element discretization library
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mfem::VectorTensorFiniteElement Class Reference

#include <fe.hpp>

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

 VectorTensorFiniteElement (const int dims, const int d, const int p, const int cbtype, const int obtype, const int M, const DofMapType dmtype)
 
 VectorTensorFiniteElement (const int dims, const int d, const int p, const int obtype, const int M, const DofMapType dmtype)
 
const DofToQuadGetDofToQuad (const IntegrationRule &ir, DofToQuad::Mode mode) const
 Return a DofToQuad structure corresponding to the given IntegrationRule using the given DofToQuad::Mode. More...
 
const DofToQuadGetDofToQuadOpen (const IntegrationRule &ir, DofToQuad::Mode mode) const
 
const DofToQuadGetTensorDofToQuad (const IntegrationRule &ir, DofToQuad::Mode mode, const bool closed) const
 
 ~VectorTensorFiniteElement ()
 
- Public Member Functions inherited from mfem::VectorFiniteElement
 VectorFiniteElement (int D, Geometry::Type 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, Geometry::Type G, int Do, int O, int F=FunctionSpace::Pk)
 Construct FiniteElement with given. More...
 
int GetDim () const
 Returns the reference space dimension for the finite element. More...
 
Geometry::Type 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 FunctionSpace on the element. More...
 
int GetRangeType () const
 Returns the FiniteElement::RangeType of the element, one of {SCALAR, VECTOR}. More...
 
int GetDerivRangeType () const
 Returns the FiniteElement::RangeType of the element derivative, either SCALAR or VECTOR. More...
 
int GetMapType () const
 Returns the FiniteElement::MapType of the element describing how reference functions are mapped to physical space, one of {VALUE, INTEGRAL H_DIV, H_CURL}. More...
 
int GetDerivType () const
 Returns the FiniteElement::DerivType of the element describing the spatial derivative method implemented, one of {NONE, GRAD, DIV, CURL}. More...
 
int GetDerivMapType () const
 Returns the FiniteElement::DerivType of the element describing how reference function derivatives are mapped to physical space, one of {VALUE, INTEGRAL, H_DIV, H_CURL}. More...
 
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
 Get a const reference to the nodes of the element. More...
 
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...
 
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...
 
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
 Get the dofs associated with the given face. *dofs is set to an internal array of the local dofc on the face, while *ndofs is set to the number of dofs on that face. More...
 
virtual void CalcHessian (const IntegrationPoint &ip, DenseMatrix &Hessian) const
 Evaluate the Hessians of all shape functions of a scalar finite element in reference space at the given point ip. More...
 
virtual void CalcPhysHessian (ElementTransformation &Trans, DenseMatrix &Hessian) const
 Evaluate the Hessian of all shape functions of a scalar finite element in reference space at the given point ip. More...
 
virtual void CalcPhysLaplacian (ElementTransformation &Trans, Vector &Laplacian) const
 Evaluate the Laplacian of all shape functions of a scalar finite element in reference space at the given point ip. More...
 
virtual void CalcPhysLinLaplacian (ElementTransformation &Trans, Vector &Laplacian) const
 
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 GetLocalRestriction (ElementTransformation &Trans, DenseMatrix &R) const
 Return a local restriction matrix R (Dof x Dof) mapping fine dofs to coarse dofs. More...
 
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
 Given a coefficient and a transformation, compute its projection (approximation) in the local finite dimensional space in terms of the degrees of freedom. More...
 
virtual void Project (VectorCoefficient &vc, ElementTransformation &Trans, Vector &dofs) const
 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) More...
 
virtual void ProjectFromNodes (Vector &vc, ElementTransformation &Trans, Vector &dofs) const
 Given a vector of values at the finite element nodes and a transformation, compute its projection (approximation) in the local finite dimensional space in terms of the degrees of freedom. Valid for VectorFiniteElements. More...
 
virtual void ProjectMatrixCoefficient (MatrixCoefficient &mc, ElementTransformation &T, Vector &dofs) const
 Given a matrix coefficient and a transformation, compute an approximation ("projection") in the local finite dimensional space in terms of the degrees of freedom. For VectorFiniteElements, the rows of the coefficient are projected in the vector space. More...
 
virtual void ProjectDelta (int vertex, Vector &dofs) const
 Project a delta function centered on the given vertex in the local finite dimensional space represented by the dofs. More...
 
virtual void Project (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &I) const
 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. More...
 
virtual void ProjectGrad (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &grad) const
 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. More...
 
virtual void ProjectCurl (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &curl) const
 Compute the discrete curl matrix from the given FiniteElement onto 'this' FiniteElement. The ElementTransformation is included to support cases when the matrix depends on it. More...
 
virtual void ProjectDiv (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &div) const
 Compute the discrete divergence matrix from the given FiniteElement onto 'this' FiniteElement. The ElementTransformation is included to support cases when the matrix depends on it. More...
 
virtual ~FiniteElement ()
 Deconstruct the FiniteElement. More...
 
- Public Member Functions inherited from mfem::TensorBasisElement
 TensorBasisElement (const int dims, const int p, const int btype, const DofMapType dmtype)
 
int GetBasisType () const
 
const Poly_1D::BasisGetBasis1D () const
 
const Array< int > & GetDofMap () const
 Get an Array<int> that maps lexicographically ordered indices to the indices of the respective nodes/dofs/basis functions. If the dofs are ordered lexicographically, i.e. the mapping is identity, the returned Array will be empty. More...
 

Protected Attributes

Poly_1D::Basiscbasis1d
 
Poly_1D::Basisobasis1d
 
- Protected Attributes inherited from mfem::VectorFiniteElement
bool is_nodal
 
DenseMatrix J
 
DenseMatrix Jinv
 
DenseMatrix curlshape
 
DenseMatrix curlshape_J
 
- Protected Attributes inherited from mfem::FiniteElement
int dim
 Dimension of reference space. More...
 
Geometry::Type geom_type
 Geometry::Type of the reference element. More...
 
int func_space
 
int range_type
 
int map_type
 
int deriv_type
 
int deriv_range_type
 
int deriv_map_type
 
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
 
Array< DofToQuad * > dof2quad_array
 Container for all DofToQuad objects created by the FiniteElement. More...
 
- Protected Attributes inherited from mfem::TensorBasisElement
int b_type
 
Array< int > dof_map
 
Poly_1D::Basisbasis1d
 
Array< int > inv_dof_map
 

Additional Inherited Members

- Public Types inherited from mfem::FiniteElement
enum  RangeType { SCALAR, VECTOR }
 Enumeration for range_type and deriv_range_type. More...
 
enum  MapType { VALUE, INTEGRAL, H_DIV, H_CURL }
 Enumeration for MapType: defines how reference functions are mapped to physical space. More...
 
enum  DerivType { NONE, GRAD, DIV, CURL }
 Enumeration for DerivType: defines which derivative method is implemented. More...
 
- Public Types inherited from mfem::TensorBasisElement
enum  DofMapType { L2_DOF_MAP = 0, H1_DOF_MAP = 1, Sr_DOF_MAP = 2 }
 
- Static Public Member Functions inherited from mfem::FiniteElement
static bool IsClosedType (int b_type)
 Return true if the BasisType of b_type is closed (has Quadrature1D points on the boundary). More...
 
static bool IsOpenType (int b_type)
 Return true if the BasisType of b_type is open (doesn't have Quadrature1D points on the boundary). More...
 
static int VerifyClosed (int b_type)
 Ensure that the BasisType of b_type is closed (has Quadrature1D points on the boundary). More...
 
static int VerifyOpen (int b_type)
 Ensure that the BasisType of b_type is open (doesn't have Quadrature1D points on the boundary). More...
 
static int VerifyNodal (int b_type)
 Ensure that the BasisType of b_type nodal (satisfies the interpolation property). More...
 
- Static Public Member Functions inherited from mfem::TensorBasisElement
static Geometry::Type GetTensorProductGeometry (int dim)
 
static int Pow (int base, int dim)
 Return base raised to the power dim. More...
 
- 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
 Project a vector coefficient onto the RT basis functions. More...
 
void Project_RT (const double *nk, const Array< int > &d2n, Vector &vc, ElementTransformation &Trans, Vector &dofs) const
 Projects the vector of values given at FE nodes to RT space. More...
 
void ProjectMatrixCoefficient_RT (const double *nk, const Array< int > &d2n, MatrixCoefficient &mc, ElementTransformation &T, Vector &dofs) const
 Project the rows of the matrix coefficient in an RT space. More...
 
void Project_RT (const double *nk, const Array< int > &d2n, const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &I) const
 Project vector-valued basis functions onto the RT basis functions. More...
 
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
 Project a vector coefficient onto the ND basis functions. More...
 
void Project_ND (const double *tk, const Array< int > &d2t, Vector &vc, ElementTransformation &Trans, Vector &dofs) const
 Projects the vector of values given at FE nodes to ND space. More...
 
void ProjectMatrixCoefficient_ND (const double *tk, const Array< int > &d2t, MatrixCoefficient &mc, ElementTransformation &T, Vector &dofs) const
 Project the rows of the matrix coefficient in an ND space. More...
 
void Project_ND (const double *tk, const Array< int > &d2t, const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &I) const
 Project vector-valued basis functions onto the ND basis functions. More...
 
void ProjectGrad_ND (const double *tk, const Array< int > &d2t, const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &grad) const
 
void LocalL2Projection_RT (const VectorFiniteElement &cfe, ElementTransformation &Trans, DenseMatrix &I) const
 
void LocalInterpolation_RT (const VectorFiniteElement &cfe, const double *nk, const Array< int > &d2n, ElementTransformation &Trans, DenseMatrix &I) const
 
void LocalL2Projection_ND (const VectorFiniteElement &cfe, ElementTransformation &Trans, DenseMatrix &I) const
 
void LocalInterpolation_ND (const VectorFiniteElement &cfe, const double *tk, const Array< int > &d2t, ElementTransformation &Trans, DenseMatrix &I) const
 
void LocalRestriction_RT (const double *nk, const Array< int > &d2n, ElementTransformation &Trans, DenseMatrix &R) const
 
void LocalRestriction_ND (const double *tk, const Array< int > &d2t, ElementTransformation &Trans, DenseMatrix &R) const
 
- Static Protected Member Functions inherited from mfem::VectorFiniteElement
static const VectorFiniteElementCheckVectorFE (const FiniteElement &fe)
 

Detailed Description

Definition at line 2228 of file fe.hpp.

Constructor & Destructor Documentation

mfem::VectorTensorFiniteElement::VectorTensorFiniteElement ( const int  dims,
const int  d,
const int  p,
const int  cbtype,
const int  obtype,
const int  M,
const DofMapType  dmtype 
)

Definition at line 7941 of file fe.cpp.

mfem::VectorTensorFiniteElement::VectorTensorFiniteElement ( const int  dims,
const int  d,
const int  p,
const int  obtype,
const int  M,
const DofMapType  dmtype 
)

Definition at line 7958 of file fe.cpp.

mfem::VectorTensorFiniteElement::~VectorTensorFiniteElement ( )

Definition at line 12357 of file fe.cpp.

Member Function Documentation

const DofToQuad & mfem::VectorTensorFiniteElement::GetDofToQuad ( const IntegrationRule ir,
DofToQuad::Mode  mode 
) const
virtual

Return a DofToQuad structure corresponding to the given IntegrationRule using the given DofToQuad::Mode.

See the documentation for DofToQuad for more details.

Reimplemented from mfem::FiniteElement.

Definition at line 12278 of file fe.cpp.

const DofToQuad & mfem::VectorTensorFiniteElement::GetDofToQuadOpen ( const IntegrationRule ir,
DofToQuad::Mode  mode 
) const

Definition at line 12287 of file fe.cpp.

const DofToQuad & mfem::VectorTensorFiniteElement::GetTensorDofToQuad ( const IntegrationRule ir,
DofToQuad::Mode  mode,
const bool  closed 
) const

Definition at line 12296 of file fe.cpp.

Member Data Documentation

Poly_1D::Basis& mfem::VectorTensorFiniteElement::cbasis1d
protected

Definition at line 2235 of file fe.hpp.

Poly_1D::Basis & mfem::VectorTensorFiniteElement::obasis1d
protected

Definition at line 2235 of file fe.hpp.


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