MFEM  v3.4
Finite element discretization library
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mfem::L2_QuadrilateralElement Class Reference

#include <fe.hpp>

Inheritance diagram for mfem::L2_QuadrilateralElement:
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Collaboration diagram for mfem::L2_QuadrilateralElement:
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Public Member Functions

 L2_QuadrilateralElement (const int p, const int btype=BasisType::GaussLegendre)
 
virtual void CalcShape (const IntegrationPoint &ip, Vector &shape) const
 Evaluate the values of all shape functions of a scalar finite element in reference space at the given point ip. More...
 
virtual void CalcDShape (const IntegrationPoint &ip, DenseMatrix &dshape) const
 Evaluate the gradients of all shape functions of a scalar finite element in reference space at the given point ip. More...
 
virtual void ProjectDelta (int vertex, Vector &dofs) const
 
virtual void ProjectCurl (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &curl) const
 
- Public Member Functions inherited from mfem::NodalTensorFiniteElement
 NodalTensorFiniteElement (const int dims, const int p, const int btype, const DofMapType dmtype)
 
- 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
 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 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 Project (VectorCoefficient &vc, ElementTransformation &Trans, Vector &dofs) const
 
virtual void ProjectMatrixCoefficient (MatrixCoefficient &mc, ElementTransformation &T, 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::ScalarFiniteElement
 ScalarFiniteElement (int D, int G, int Do, int O, int F=FunctionSpace::Pk)
 
 c_shape (Dof)
 
void SetMapType (int M)
 
void NodalLocalInterpolation (ElementTransformation &Trans, DenseMatrix &I, const ScalarFiniteElement &fine_fe) const
 Nodal interpolation. More...
 
void ScalarLocalInterpolation (ElementTransformation &Trans, DenseMatrix &I, const ScalarFiniteElement &fine_fe) const
 "Interpolation" defined through local L2-projection. More...
 
- 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
 
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
 
virtual void CalcHessian (const IntegrationPoint &ip, DenseMatrix &h) const
 
virtual ~FiniteElement ()
 
- 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...
 

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...
 
- Public Types inherited from mfem::TensorBasisElement
enum  DofMapType { L2_DOF_MAP = 0, H1_DOF_MAP = 1 }
 
- 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)
 
- Static Public Member Functions inherited from mfem::TensorBasisElement
static int GetTensorProductGeometry (int dim)
 
static int Pow (int base, int dim)
 Return base raised to the power dim. More...
 
- Public Attributes inherited from mfem::ScalarFiniteElement
 __pad0__: FiniteElement(D
 
 G
 
 Do
 
 O
 
 F
 
- Protected Member Functions inherited from mfem::NodalFiniteElement
void ProjectCurl_2D (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &curl) const
 
- Static Protected Member Functions inherited from mfem::ScalarFiniteElement
static const ScalarFiniteElementCheckScalarFE (const FiniteElement &fe)
 
- Protected Attributes inherited from mfem::ScalarFiniteElement
Vector c_shape
 
- 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
 
- Protected Attributes inherited from mfem::TensorBasisElement
int b_type
 
Array< int > dof_map
 
Poly_1D::Basisbasis1d
 

Detailed Description

Definition at line 1938 of file fe.hpp.

Constructor & Destructor Documentation

mfem::L2_QuadrilateralElement::L2_QuadrilateralElement ( const int  p,
const int  btype = BasisType::GaussLegendre 
)

Definition at line 8241 of file fe.cpp.

Member Function Documentation

void mfem::L2_QuadrilateralElement::CalcDShape ( const IntegrationPoint ip,
DenseMatrix dshape 
) const
virtual

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

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

Implements mfem::FiniteElement.

Definition at line 8279 of file fe.cpp.

void mfem::L2_QuadrilateralElement::CalcShape ( const IntegrationPoint ip,
Vector shape 
) const
virtual

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

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

Implements mfem::FiniteElement.

Definition at line 8260 of file fe.cpp.

virtual void mfem::L2_QuadrilateralElement::ProjectCurl ( const FiniteElement fe,
ElementTransformation Trans,
DenseMatrix curl 
) const
inlinevirtual

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.

Reimplemented from mfem::FiniteElement.

Definition at line 1952 of file fe.hpp.

void mfem::L2_QuadrilateralElement::ProjectDelta ( int  vertex,
Vector dofs 
) const
virtual

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 8299 of file fe.cpp.


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