MFEM v4.8.0
Finite element discretization library
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mfem::L2_FuentesPyramidElement Class Reference

#include <fe_l2.hpp>

Inheritance diagram for mfem::L2_FuentesPyramidElement:
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Collaboration diagram for mfem::L2_FuentesPyramidElement:
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Public Member Functions

 L2_FuentesPyramidElement (const int p, const int btype=BasisType::GaussLegendre)
 Construct the L2_PyramidElement of order p and BasisType btype.
 
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.
 
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.
 
- Public Member Functions inherited from mfem::NodalFiniteElement
 NodalFiniteElement (int D, Geometry::Type G, int Do, int O, int F=FunctionSpace::Pk)
 Construct NodalFiniteElement with given.
 
const DofToQuad & GetDofToQuad (const IntegrationRule &ir, DofToQuad::Mode mode) const override
 Return a DofToQuad structure corresponding to the given IntegrationRule using the given DofToQuad::Mode.
 
void GetLocalInterpolation (ElementTransformation &Trans, DenseMatrix &I) const override
 Return the local interpolation matrix I (Dof x Dof) where the fine element is the image of the base geometry under the given transformation.
 
void GetLocalRestriction (ElementTransformation &Trans, DenseMatrix &R) const override
 Return a local restriction matrix R (Dof x Dof) mapping fine dofs to coarse dofs.
 
void GetTransferMatrix (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &I) const override
 Return interpolation matrix, I, which maps dofs from a coarse element, fe, to the fine dofs on this finite element.
 
void Project (Coefficient &coeff, ElementTransformation &Trans, Vector &dofs) const override
 Given a coefficient and a transformation, compute its projection (approximation) in the local finite dimensional space in terms of the degrees of freedom.
 
void Project (VectorCoefficient &vc, ElementTransformation &Trans, Vector &dofs) const override
 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)
 
void ProjectMatrixCoefficient (MatrixCoefficient &mc, ElementTransformation &T, Vector &dofs) const override
 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.
 
void Project (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &I) const override
 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.
 
void ProjectGrad (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &grad) const override
 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.
 
void ProjectDiv (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &div) const override
 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.
 
const Array< int > & GetLexicographicOrdering () const
 Get an Array<int> that maps lexicographically ordered indices to the indices of the respective nodes/dofs/basis functions.
 
void ReorderLexToNative (int ncomp, Vector &dofs) const
 
- Public Member Functions inherited from mfem::ScalarFiniteElement
 ScalarFiniteElement (int D, Geometry::Type G, int Do, int O, int F=FunctionSpace::Pk)
 Construct ScalarFiniteElement with given.
 
virtual void SetMapType (int M)
 Set the FiniteElement::MapType of the element to either VALUE or INTEGRAL. Also sets the FiniteElement::DerivType to GRAD if the FiniteElement::MapType is VALUE.
 
void NodalLocalInterpolation (ElementTransformation &Trans, DenseMatrix &I, const ScalarFiniteElement &fine_fe) const
 Get the matrix I that defines nodal interpolation between this element and the refined element fine_fe.
 
void ScalarLocalInterpolation (ElementTransformation &Trans, DenseMatrix &I, const ScalarFiniteElement &fine_fe) const
 Get matrix I "Interpolation" defined through local L2-projection in the space defined by the fine_fe.
 
void ScalarLocalL2Restriction (ElementTransformation &Trans, DenseMatrix &R, const ScalarFiniteElement &coarse_fe) const
 Get restriction matrix R defined through local L2-projection in the space defined by the coarse_fe.
 
- Public Member Functions inherited from mfem::FiniteElement
 FiniteElement (int D, Geometry::Type G, int Do, int O, int F=FunctionSpace::Pk)
 Construct FiniteElement with given.
 
int GetDim () const
 Returns the reference space dimension for the finite element.
 
int GetRangeDim () const
 Returns the vector dimension for vector-valued finite elements, which is also the dimension of the interpolation operation.
 
int GetCurlDim () const
 Returns the dimension of the curl for vector-valued finite elements.
 
Geometry::Type GetGeomType () const
 Returns the Geometry::Type of the reference element.
 
int GetDof () const
 Returns the number of degrees of freedom in the finite element.
 
int GetOrder () const
 Returns the order of the finite element. In the case of anisotropic orders, returns the maximum order.
 
bool HasAnisotropicOrders () const
 Returns true if the FiniteElement basis may be using different orders/degrees in different spatial directions.
 
const int * GetAnisotropicOrders () const
 Returns an array containing the anisotropic orders/degrees.
 
int Space () const
 Returns the type of FunctionSpace on the element.
 
int GetRangeType () const
 Returns the FiniteElement::RangeType of the element, one of {SCALAR, VECTOR}.
 
int GetDerivRangeType () const
 Returns the FiniteElement::RangeType of the element derivative, either SCALAR or VECTOR.
 
int GetMapType () const
 Returns the FiniteElement::MapType of the element describing how reference functions are mapped to physical space, one of {VALUE, INTEGRAL H_DIV, H_CURL}.
 
int GetDerivType () const
 Returns the FiniteElement::DerivType of the element describing the spatial derivative method implemented, one of {NONE, GRAD, DIV, CURL}.
 
int GetDerivMapType () const
 Returns the FiniteElement::DerivType of the element describing how reference function derivatives are mapped to physical space, one of {VALUE, INTEGRAL, H_DIV, H_CURL}.
 
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.
 
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.
 
const IntegrationRule & GetNodes () const
 Get a const reference to the nodes of the element.
 
virtual void CalcHessian (const IntegrationPoint &ip, DenseMatrix &Hessian) const
 Evaluate the Hessians of all shape functions of a scalar finite element in reference space at the given point ip.
 
void CalcPhysHessian (ElementTransformation &Trans, DenseMatrix &Hessian) const
 Evaluate the Hessian of all shape functions of a scalar finite element in physical space at the given point ip.
 
void CalcPhysLaplacian (ElementTransformation &Trans, Vector &Laplacian) const
 Evaluate the Laplacian of all shape functions of a scalar finite element in physical space at the given point ip.
 
void CalcPhysLinLaplacian (ElementTransformation &Trans, Vector &Laplacian) const
 Evaluate the Laplacian of all shape functions of a scalar finite element in physical space at the given point ip.
 
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.
 
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.
 
void CalcPhysVShape (ElementTransformation &Trans, DenseMatrix &shape) const
 Equivalent to the CalcVShape() method with the same arguments.
 
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.
 
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.
 
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.
 
virtual 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.
 
virtual void GetFaceDofs (int face, int **dofs, int *ndofs) const
 Get the dofs associated with the given face. *dofs is set to an internal array of the local dofc on the face, while *ndofs is set to the number of dofs on that face.
 
virtual void ProjectFromNodes (Vector &vc, ElementTransformation &Trans, Vector &dofs) const
 Given a vector of values at the finite element nodes and a transformation, compute its projection (approximation) in the local finite dimensional space in terms of the degrees of freedom. Valid for VectorFiniteElements.
 
virtual void ProjectDelta (int vertex, Vector &dofs) const
 Project a delta function centered on the given vertex in the local finite dimensional space represented by the dofs.
 
virtual void ProjectCurl (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &curl) const
 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.
 
virtual void GetFaceMap (const int face_id, Array< int > &face_map) const
 Return the mapping from lexicographic face DOFs to lexicographic element DOFs for the given local face face_id.
 
virtual const StatelessDofTransformation * GetDofTransformation () const
 Return a DoF transformation object for this particular type of basis.
 
virtual ~FiniteElement ()
 Deconstruct the FiniteElement.
 
- Public Member Functions inherited from mfem::FuentesPyramid
 FuentesPyramid ()=default
 
void phi_E (int p, Vector s, const DenseMatrix &grad_s, Vector &u, DenseMatrix &grad_u) const
 
void phi_Q (int p, Vector s, Vector t, DenseMatrix &u) const
 
void phi_Q (int p, Vector s, const DenseMatrix &grad_s, Vector t, const DenseMatrix &grad_t, DenseMatrix &u, DenseTensor &grad_u) const
 
void phi_T (int p, Vector nu, DenseMatrix &u) const
 
void phi_T (int p, Vector nu, const DenseMatrix &grad_nu, DenseMatrix &u, DenseTensor &grad_u) const
 
void E_E (int p, Vector s, Vector sds, DenseMatrix &u) const
 
void E_E (int p, Vector s, const DenseMatrix &grad_s, DenseMatrix &u, DenseMatrix &curl_u) const
 
void E_Q (int p, Vector s, Vector ds, Vector t, DenseTensor &u) const
 
void E_Q (int p, Vector s, const DenseMatrix &grad_s, Vector t, const DenseMatrix &grad_t, DenseTensor &u, DenseTensor &curl_u) const
 
void E_T (int p, Vector s, Vector sds, DenseTensor &u) const
 
void E_T (int p, Vector s, const DenseMatrix &grad_s, DenseTensor &u, DenseTensor &curl_u) const
 
void V_Q (int p, Vector s, Vector ds, Vector t, Vector dt, DenseTensor &u) const
 
void V_T (int p, Vector s, Vector sdsxds, DenseTensor &u) const
 
void V_T (int p, Vector s, Vector sdsxds, real_t dsdsxds, DenseTensor &u, DenseMatrix &du) const
 
void VT_T (int p, Vector s, Vector sds, Vector sdsxds, real_t mu, Vector grad_mu, DenseTensor &u) const
 
void VT_T (int p, Vector s, Vector sds, Vector sdsxds, Vector grad_s2, real_t mu, Vector grad_mu, DenseTensor &u, DenseMatrix &du) const
 
void V_L (int p, Vector sx, const DenseMatrix &grad_sx, Vector sy, const DenseMatrix &grad_sy, real_t t, Vector grad_t, DenseTensor &u) const
 
void V_R (int p, Vector s, const DenseMatrix &grad_s, real_t mu, Vector grad_mu, real_t t, Vector grad_t, DenseMatrix &u) const
 

Additional Inherited Members

- Public Types inherited from mfem::FiniteElement
enum  RangeType { UNKNOWN_RANGE_TYPE = -1 , SCALAR , VECTOR }
 Enumeration for range_type and deriv_range_type. More...
 
enum  MapType {
  UNKNOWN_MAP_TYPE = -1 , VALUE , INTEGRAL , H_DIV ,
  H_CURL
}
 Enumeration for MapType: defines how reference functions are mapped to physical space. More...
 
enum  DerivType { 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)
 Return true if the BasisType of b_type is closed (has Quadrature1D points on the boundary).
 
static bool IsOpenType (int b_type)
 Return true if the BasisType of b_type is open (doesn't have Quadrature1D points on the boundary).
 
static int VerifyClosed (int b_type)
 Ensure that the BasisType of b_type is closed (has Quadrature1D points on the boundary).
 
static int VerifyOpen (int b_type)
 Ensure that the BasisType of b_type is open (doesn't have Quadrature1D points on the boundary).
 
static int VerifyNodal (int b_type)
 Ensure that the BasisType of b_type nodal (satisfies the interpolation property).
 
- Static Public Member Functions inherited from mfem::FuentesPyramid
static bool CheckZ (real_t z)
 
static real_t lam1 (real_t x, real_t y, real_t z)
 Pyramid "Affine" Coordinates.
 
static real_t lam2 (real_t x, real_t y, real_t z)
 
static real_t lam3 (real_t x, real_t y, real_t z)
 
static real_t lam4 (real_t x, real_t y, real_t z)
 
static real_t lam5 (real_t x, real_t y, real_t z)
 
static Vector grad_lam1 (real_t x, real_t y, real_t z)
 Gradients of the "Affine" Coordinates.
 
static Vector grad_lam2 (real_t x, real_t y, real_t z)
 
static Vector grad_lam3 (real_t x, real_t y, real_t z)
 
static Vector grad_lam4 (real_t x, real_t y, real_t z)
 
static Vector grad_lam5 (real_t x, real_t y, real_t z)
 
static Vector lam15 (real_t x, real_t y, real_t z)
 Two component vectors associated with edges touching the apex.
 
static Vector lam25 (real_t x, real_t y, real_t z)
 
static Vector lam35 (real_t x, real_t y, real_t z)
 
static Vector lam45 (real_t x, real_t y, real_t z)
 
static DenseMatrix grad_lam15 (real_t x, real_t y, real_t z)
 Gradients of the above two component vectors.
 
static DenseMatrix grad_lam25 (real_t x, real_t y, real_t z)
 
static DenseMatrix grad_lam35 (real_t x, real_t y, real_t z)
 
static DenseMatrix grad_lam45 (real_t x, real_t y, real_t z)
 
static Vector lam15_grad_lam15 (real_t x, real_t y, real_t z)
 Computes λi∇λ5−λ5∇λi.
 
static Vector lam25_grad_lam25 (real_t x, real_t y, real_t z)
 
static Vector lam35_grad_lam35 (real_t x, real_t y, real_t z)
 
static Vector lam45_grad_lam45 (real_t x, real_t y, real_t z)
 
static Vector lam125 (real_t x, real_t y, real_t z)
 Three component vectors associated with triangular faces.
 
static Vector lam235 (real_t x, real_t y, real_t z)
 
static Vector lam345 (real_t x, real_t y, real_t z)
 
static Vector lam435 (real_t x, real_t y, real_t z)
 
static Vector lam415 (real_t x, real_t y, real_t z)
 
static Vector lam145 (real_t x, real_t y, real_t z)
 
static Vector lam125_grad_lam125 (real_t x, real_t y, real_t z)
 
static Vector lam235_grad_lam235 (real_t x, real_t y, real_t z)
 
static Vector lam345_grad_lam345 (real_t x, real_t y, real_t z)
 
static Vector lam435_grad_lam435 (real_t x, real_t y, real_t z)
 
static Vector lam415_grad_lam415 (real_t x, real_t y, real_t z)
 
static Vector lam145_grad_lam145 (real_t x, real_t y, real_t z)
 
static real_t div_lam125_grad_lam125 (real_t x, real_t y, real_t z)
 Divergences of the above "normal" vector functions divided by 3.
 
static real_t div_lam235_grad_lam235 (real_t x, real_t y, real_t z)
 
static real_t div_lam345_grad_lam345 (real_t x, real_t y, real_t z)
 
static real_t div_lam435_grad_lam435 (real_t x, real_t y, real_t z)
 
static real_t div_lam415_grad_lam415 (real_t x, real_t y, real_t z)
 
static real_t div_lam145_grad_lam145 (real_t x, real_t y, real_t z)
 
static real_t mu0 (real_t z)
 
static real_t mu1 (real_t z)
 
static Vector grad_mu0 (real_t z)
 
static Vector grad_mu1 (real_t z)
 
static Vector mu01 (real_t z)
 
static DenseMatrix grad_mu01 (real_t z)
 
static real_t mu0 (real_t z, const Vector &xy, unsigned int ab)
 
static real_t mu1 (real_t z, const Vector &xy, unsigned int ab)
 
static Vector grad_mu0 (real_t z, const Vector xy, unsigned int ab)
 
static Vector grad_mu1 (real_t z, const Vector xy, unsigned int ab)
 
static Vector mu01 (real_t z, Vector xy, unsigned int ab)
 
static DenseMatrix grad_mu01 (real_t z, Vector xy, unsigned int ab)
 
static Vector mu01_grad_mu01 (real_t z, Vector xy, unsigned int ab)
 
static real_t nu0 (real_t z, Vector xy, unsigned int ab)
 
static real_t nu1 (real_t z, Vector xy, unsigned int ab)
 
static real_t nu2 (real_t z, Vector xy, unsigned int ab)
 
static Vector grad_nu0 (real_t z, const Vector xy, unsigned int ab)
 
static Vector grad_nu1 (real_t z, const Vector xy, unsigned int ab)
 
static Vector grad_nu2 (real_t z, const Vector xy, unsigned int ab)
 
static Vector nu01 (real_t z, Vector xy, unsigned int ab)
 
static Vector nu12 (real_t z, Vector xy, unsigned int ab)
 
static Vector nu012 (real_t z, Vector xy, unsigned int ab)
 
static Vector nu120 (real_t z, Vector xy, unsigned int ab)
 
static DenseMatrix grad_nu01 (real_t z, Vector xy, unsigned int ab)
 
static DenseMatrix grad_nu012 (real_t z, Vector xy, unsigned int ab)
 
static DenseMatrix grad_nu120 (real_t z, Vector xy, unsigned int ab)
 
static Vector nu01_grad_nu01 (real_t z, Vector xy, unsigned int ab)
 
static Vector nu12_grad_nu12 (real_t z, Vector xy, unsigned int ab)
 
static Vector nu012_grad_nu012 (real_t z, Vector xy, unsigned int ab)
 
static void CalcScaledLegendre (int p, real_t x, real_t t, real_t *u)
 Shifted and Scaled Legendre Polynomials.
 
static void CalcScaledLegendre (int p, real_t x, real_t t, real_t *u, real_t *dudx, real_t *dudt)
 
static void CalcScaledLegendre (int p, real_t x, real_t t, Vector &u)
 
static void CalcScaledLegendre (int p, real_t x, real_t t, Vector &u, Vector &dudx, Vector &dudt)
 
static void CalcIntegratedLegendre (int p, real_t x, real_t t, real_t *u)
 Integrated Legendre Polynomials.
 
static void CalcIntegratedLegendre (int p, real_t x, real_t t, real_t *u, real_t *dudx, real_t *dudt)
 
static void CalcIntegratedLegendre (int p, real_t x, real_t t, Vector &u)
 
static void CalcIntegratedLegendre (int p, real_t x, real_t t, Vector &u, Vector &dudx, Vector &dudt)
 
static void CalcHomogenizedScaLegendre (int p, real_t s0, real_t s1, real_t *u)
 
static void CalcHomogenizedScaLegendre (int p, real_t s0, real_t s1, real_t *u, real_t *duds0, real_t *duds1)
 
static void CalcHomogenizedScaLegendre (int p, real_t s0, real_t s1, Vector &u)
 
static void CalcHomogenizedScaLegendre (int p, real_t s0, real_t s1, Vector &u, Vector &duds0, Vector &duds1)
 
static void CalcHomogenizedIntLegendre (int p, real_t t0, real_t t1, real_t *u)
 
static void CalcHomogenizedIntLegendre (int p, real_t t0, real_t t1, real_t *u, real_t *dudt0, real_t *dudt1)
 
static void CalcHomogenizedIntLegendre (int p, real_t t0, real_t t1, Vector &u)
 
static void CalcHomogenizedIntLegendre (int p, real_t t0, real_t t1, Vector &u, Vector &dudt0, Vector &dudt1)
 
static void CalcScaledJacobi (int p, real_t alpha, real_t x, real_t t, real_t *u)
 Shifted and Scaled Jacobi Polynomials.
 
static void CalcScaledJacobi (int p, real_t alpha, real_t x, real_t t, real_t *u, real_t *dudx, real_t *dudt)
 
static void CalcScaledJacobi (int p, real_t alpha, real_t x, real_t t, Vector &u)
 
static void CalcScaledJacobi (int p, real_t alpha, real_t x, real_t t, Vector &u, Vector &dudx, Vector &dudt)
 
static void CalcIntegratedJacobi (int p, real_t alpha, real_t x, real_t t, real_t *u)
 Integrated Jacobi Polynomials.
 
static void CalcIntegratedJacobi (int p, real_t alpha, real_t x, real_t t, real_t *u, real_t *dudx, real_t *dudt)
 
static void CalcIntegratedJacobi (int p, real_t alpha, real_t x, real_t t, Vector &u)
 
static void CalcIntegratedJacobi (int p, real_t alpha, real_t x, real_t t, Vector &u, Vector &dudx, Vector &dudt)
 
static void CalcHomogenizedScaJacobi (int p, real_t alpha, real_t t0, real_t t1, real_t *u)
 
static void CalcHomogenizedScaJacobi (int p, real_t alpha, real_t t0, real_t t1, real_t *u, real_t *dudt0, real_t *dudt1)
 
static void CalcHomogenizedScaJacobi (int p, real_t alpha, real_t t0, real_t t1, Vector &u)
 
static void CalcHomogenizedScaJacobi (int p, real_t alpha, real_t t0, real_t t1, Vector &u, Vector &dudt0, Vector &dudt1)
 
static void CalcHomogenizedIntJacobi (int p, real_t alpha, real_t t0, real_t t1, real_t *u)
 
static void CalcHomogenizedIntJacobi (int p, real_t alpha, real_t t0, real_t t1, real_t *u, real_t *dudt0, real_t *dudt1)
 
static void CalcHomogenizedIntJacobi (int p, real_t alpha, real_t t0, real_t t1, Vector &u)
 
static void CalcHomogenizedIntJacobi (int p, real_t alpha, real_t t0, real_t t1, Vector &u, Vector &dudt0, Vector &dudt1)
 
static void phi_E (int p, real_t s0, real_t s1, real_t *u)
 
static void phi_E (int p, real_t s0, real_t s1, real_t *u, real_t *duds0, real_t *duds1)
 
static void phi_E (int p, Vector s, Vector &u)
 
static void phi_E (int p, Vector s, Vector &u, DenseMatrix &duds)
 
- 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::NodalFiniteElement
Array< int > lex_ordering
 
- Protected Attributes inherited from mfem::FiniteElement
int dim
 Dimension of reference space.
 
int vdim
 Vector dimension of vector-valued basis functions.
 
int cdim
 Dimension of curl for vector-valued basis functions.
 
Geometry::Type geom_type
 Geometry::Type of the reference element.
 
int func_space
 
int range_type
 
int map_type
 
int deriv_type
 
int deriv_range_type
 
int deriv_map_type
 
int dof
 Number of degrees of freedom.
 
int order
 Order/degree of the shape functions.
 
int orders [Geometry::MaxDim]
 Anisotropic orders.
 
IntegrationRule Nodes
 
DenseMatrix vshape
 
Array< DofToQuad * > dof2quad_array
 Container for all DofToQuad objects created by the FiniteElement.
 
- Static Protected Attributes inherited from mfem::FuentesPyramid
static constexpr real_t one = 1.0
 
static constexpr real_t zero = 0.0
 
static constexpr real_t apex_tol = 1e-8
 

Detailed Description

Arbitrary order L2 basis functions defined on pyramid-shaped elements

This implementation is closely based on the finite elements described in section 9.4 of the paper "Orientation embedded high order shape functions for the exact sequence elements of all shapes" by Federico Fuentes, Brendan Keith, Leszek Demkowicz, and Sriram Nagaraj, see https://doi.org/10.1016/j.camwa.2015.04.027.

Definition at line 195 of file fe_l2.hpp.

Constructor & Destructor Documentation

◆ L2_FuentesPyramidElement()

mfem::L2_FuentesPyramidElement::L2_FuentesPyramidElement ( const int p,
const int btype = BasisType::GaussLegendre )

Construct the L2_PyramidElement of order p and BasisType btype.

Definition at line 926 of file fe_l2.cpp.

Member Function Documentation

◆ CalcDShape()

void mfem::L2_FuentesPyramidElement::CalcDShape ( const IntegrationPoint & ip,
DenseMatrix & dshape ) const
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.

Definition at line 1041 of file fe_l2.cpp.

◆ CalcShape()

void mfem::L2_FuentesPyramidElement::CalcShape ( const IntegrationPoint & ip,
Vector & shape ) const
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.

Definition at line 1002 of file fe_l2.cpp.

The documentation for this class was generated from the following files:
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