MFEM
v3.3
Finite element discretization library
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#include <fe.hpp>
Public Member Functions | |
ND_SegmentElement (const int p, const int op_type=Quadrature1D::GaussLegendre) | |
virtual void | CalcShape (const IntegrationPoint &ip, Vector &shape) const |
Overrides the scalar CalcShape function to print an error. More... | |
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... | |
virtual void | GetLocalInterpolation (ElementTransformation &Trans, DenseMatrix &I) 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 |
Public Member Functions inherited from mfem::VectorFiniteElement | |
VectorFiniteElement (int D, int G, int Do, int O, int M, int F=FunctionSpace::Pk) | |
FiniteElement (D, G, Do, O, F) | |
Jinv (D) | |
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 |
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 |
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 | Project (Coefficient &coeff, ElementTransformation &Trans, Vector &dofs) const |
virtual void | ProjectDelta (int vertex, Vector &dofs) 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 int | VerifyClosed (int pt_type) |
static int | VerifyOpen (int pt_type) |
Protected Member Functions inherited from mfem::VectorFiniteElement | |
void | SetDerivMembers () |
void | CalcVShape_RT (ElementTransformation &Trans, DenseMatrix &shape) const |
void | CalcVShape_ND (ElementTransformation &Trans, DenseMatrix &shape) const |
void | Project_RT (const double *nk, const Array< int > &d2n, VectorCoefficient &vc, ElementTransformation &Trans, Vector &dofs) const |
void | Project_RT (const double *nk, const Array< int > &d2n, const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &I) const |
void | ProjectGrad_RT (const double *nk, const Array< int > &d2n, const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &grad) const |
void | ProjectCurl_ND (const double *tk, const Array< int > &d2t, const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &curl) const |
void | ProjectCurl_RT (const double *nk, const Array< int > &d2n, const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &curl) const |
void | Project_ND (const double *tk, const Array< int > &d2t, VectorCoefficient &vc, ElementTransformation &Trans, Vector &dofs) const |
void | Project_ND (const double *tk, const Array< int > &d2t, const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &I) const |
void | ProjectGrad_ND (const double *tk, const Array< int > &d2t, const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &grad) const |
void | LocalInterpolation_RT (const double *nk, const Array< int > &d2n, ElementTransformation &Trans, DenseMatrix &I) const |
void | LocalInterpolation_ND (const double *tk, const Array< int > &d2t, ElementTransformation &Trans, DenseMatrix &I) const |
Protected Attributes inherited from mfem::VectorFiniteElement | |
DenseMatrix | J |
DenseMatrix | Jinv |
DenseMatrix | curlshape |
DenseMatrix | curlshape_J |
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 |
mfem::ND_SegmentElement::ND_SegmentElement | ( | const int | p, |
const int | op_type = Quadrature1D::GaussLegendre |
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inlinevirtual |
Overrides the scalar CalcShape function to print an error.
Reimplemented from mfem::VectorFiniteElement.
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virtual |
Evaluate the values of all shape functions of a vector finite element in reference space at the given point ip.
Each row of the result DenseMatrix shape contains the components of one vector shape function. The size (Dof x Dim) of shape must be set in advance.
Reimplemented from mfem::FiniteElement.
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inlinevirtual |
Evaluate the values of all shape functions of a vector finite element in physical space at the point described by Trans.
Each row of the result DenseMatrix shape contains the components of one vector shape function. The size (Dof x SDim) of shape must be set in advance, where SDim >= Dim is the physical space dimension as described by Trans.
Reimplemented from mfem::FiniteElement.
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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 |
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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inlinevirtual |
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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inlinevirtual |
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.