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MFEM
v4.0
Finite element discretization library
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MFEM
v4.0
Finite element discretization library
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#include <fe.hpp>
Inherits mfem::ScalarFiniteElement.
Inherited by mfem::BiQuadPos2DFiniteElement, mfem::H1Pos_TetrahedronElement, mfem::H1Pos_TriangleElement, mfem::H1Pos_WedgeElement, mfem::L2Pos_TetrahedronElement, mfem::L2Pos_TriangleElement, mfem::L2Pos_WedgeElement, mfem::PositiveTensorFiniteElement, and mfem::QuadPos1DFiniteElement.
Public Member Functions | |
| PositiveFiniteElement (int D, Geometry::Type 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 | Project (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &I) const |
 Public Member Functions inherited from mfem::ScalarFiniteElement | |
| ScalarFiniteElement (int D, Geometry::Type 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... | |
| virtual const DofToQuad & | GetDofToQuad (const IntegrationRule &ir, DofToQuad::Mode mode) const |
| Public Member Functions inherited from mfem::FiniteElement | |
| FiniteElement (int D, Geometry::Type G, int Do, int O, int F=FunctionSpace::Pk) | |
| 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 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 | GetLocalRestriction (ElementTransformation &Trans, DenseMatrix &R) const |
| Return a local restriction matrix R (Dof x Dof) mapping fine dofs to coarse dofs. More... | |
| virtual void | ProjectMatrixCoefficient (MatrixCoefficient &mc, ElementTransformation &T, Vector &dofs) const |
| virtual void | ProjectDelta (int vertex, Vector &dofs) const |
| virtual void | ProjectGrad (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &grad) 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 () |
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 | |
| Protected Member Functions inherited from mfem::ScalarFiniteElement | |
| const DofToQuad & | GetTensorDofToQuad (const class TensorBasisElement &tb, const IntegrationRule &ir, DofToQuad::Mode mode) const |
| 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... | |
| Geometry::Type | 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 |
| Array< DofToQuad * > | dof2quad_array |
| Container for all DofToQuad objects created by the FiniteElement. More... | |
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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.
Reimplemented in mfem::BiQuadPos2DFiniteElement.
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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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virtual |
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.
Reimplemented in mfem::BiQuadPos2DFiniteElement.
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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.
Reimplemented in mfem::BiQuadPos2DFiniteElement.
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virtual |
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.
1.8.5
