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MFEM
v3.4
Finite element discretization library
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MFEM
v3.4
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_TetrahedronElement, mfem::H1_TriangleElement, mfem::L2_TetrahedronElement, mfem::L2_TriangleElement, mfem::Lagrange1DFiniteElement, mfem::LagrangeHexFiniteElement, mfem::Linear1DFiniteElement, mfem::Linear2DFiniteElement, mfem::Linear3DFiniteElement, mfem::NodalTensorFiniteElement, 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) | |
| 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 |
| 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 | ProjectCurl_2D (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &curl) const |
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 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) |
| Public Attributes inherited from mfem::ScalarFiniteElement | |
| __pad0__: FiniteElement(D | |
| G | |
| Do | |
| O | |
| F | |
| Static Protected Member Functions inherited from mfem::ScalarFiniteElement | |
| static const ScalarFiniteElement & | CheckScalarFE (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 |
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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.
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inlinevirtual |
Return interpolation matrix, I, which maps dofs from a coarse element, fe, to the fine dofs on this finite element.
Trans represents the mapping from the reference element of this element into a subset of the reference space of the element fe, thus allowing the "coarse" FiniteElement to be different from the "fine" FiniteElement as when h-refinement is combined with p-refinement or p-derefinement. It is assumed that both finite elements use the same MapType.
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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protected |
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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.
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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.
Reimplemented from mfem::FiniteElement.
1.8.5
