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MFEM
v3.3
Finite element discretization library
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MFEM
v3.3
Finite element discretization library
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#include <fe.hpp>
Inherits mfem::ScalarFiniteElement.
Inherited by mfem::BiCubic2DFiniteElement, mfem::BiLinear2DFiniteElement, mfem::BiQuad2DFiniteElement, mfem::CrouzeixRaviartFiniteElement, mfem::CrouzeixRaviartQuadFiniteElement, mfem::Cubic1DFiniteElement, mfem::Cubic2DFiniteElement, mfem::Cubic3DFiniteElement, mfem::GaussBiLinear2DFiniteElement, mfem::GaussBiQuad2DFiniteElement, mfem::GaussLinear2DFiniteElement, mfem::GaussQuad2DFiniteElement, mfem::H1_HexahedronElement, mfem::H1_QuadrilateralElement, mfem::H1_SegmentElement, mfem::H1_TetrahedronElement, mfem::H1_TriangleElement, mfem::L2_HexahedronElement, mfem::L2_QuadrilateralElement, mfem::L2_SegmentElement, mfem::L2_TetrahedronElement, mfem::L2_TriangleElement, mfem::Lagrange1DFiniteElement, mfem::LagrangeHexFiniteElement, mfem::Linear1DFiniteElement, mfem::Linear2DFiniteElement, mfem::Linear3DFiniteElement, mfem::P0HexFiniteElement, mfem::P0QuadFiniteElement, mfem::P0SegmentFiniteElement, mfem::P0TetFiniteElement, mfem::P0TriangleFiniteElement, mfem::P1OnQuadFiniteElement, mfem::P1SegmentFiniteElement, mfem::P1TetNonConfFiniteElement, mfem::P2SegmentFiniteElement, mfem::PointFiniteElement, mfem::Quad1DFiniteElement, mfem::Quad2DFiniteElement, mfem::Quadratic3DFiniteElement, mfem::RefinedBiLinear2DFiniteElement, mfem::RefinedLinear1DFiniteElement, mfem::RefinedLinear2DFiniteElement, mfem::RefinedLinear3DFiniteElement, mfem::RefinedTriLinear3DFiniteElement, mfem::RotTriLinearHexFiniteElement, and mfem::TriLinear3DFiniteElement.
Public Member Functions | |
| NodalFiniteElement (int D, int G, int Do, int O, int F=FunctionSpace::Pk) | |
| 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 | 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) | |
| void | SetMapType (int M) |
| 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 |
| virtual void | CalcShape (const IntegrationPoint &ip, Vector &shape) const =0 |
| Evaluate the values of all shape functions of a scalar finite element in reference space at the given point ip. 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... | |
| virtual void | CalcDShape (const IntegrationPoint &ip, DenseMatrix &dshape) const =0 |
| Evaluate the gradients of all shape functions of a scalar finite element in reference space at the given point ip. 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 IntegrationRule & | GetNodes () 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 void | ProjectDelta (int vertex, Vector &dofs) const |
| virtual void | ProjectCurl (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &curl) const |
| virtual | ~FiniteElement () |
Protected Member Functions | |
| void | NodalLocalInterpolation (ElementTransformation &Trans, DenseMatrix &I, const NodalFiniteElement &fine_fe) const |
| void | ProjectCurl_2D (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &curl) const |
Protected Attributes | |
| 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 | 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 |
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) |
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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.
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Given a coefficient and a transformation, compute its projection (approximation) in the local finite dimensional space in terms of the degrees of freedom.
Reimplemented from mfem::FiniteElement.
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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.
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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.
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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.
Reimplemented from mfem::FiniteElement.
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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.
1.8.5
