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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>
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 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 | ~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::Basis & | GetBasis1D () 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 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 |
| Protected Attributes inherited from mfem::TensorBasisElement | |
| int | b_type |
| Array< int > | dof_map |
| Poly_1D::Basis & | basis1d |
| mfem::L2_QuadrilateralElement::L2_QuadrilateralElement | ( | const int | p, |
| const int | btype = BasisType::GaussLegendre |
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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.
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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.
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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.
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virtual |
Compute a representation (up to multiplicative constant) for the delta function at the vertex with the given index.
Reimplemented from mfem::FiniteElement.
1.8.5
