Class xlifepp::NedelecEdgeSecondTetrahedronPk#

class NedelecEdgeSecondTetrahedronPk : public xlifepp::NedelecEdgeTetrahedron#

Inheritence diagram for xlifepp::NedelecEdgeSecondTetrahedronPk:

digraph { graph [bgcolor="#00000000"] node [shape=rectangle style=filled fillcolor="#FFFFFF" font=Helvetica padding=2] edge [color="#1414CE"] "1" [label="xlifepp::NedelecEdgeSecondTetrahedronPk" tooltip="xlifepp::NedelecEdgeSecondTetrahedronPk" fillcolor="#BFBFBF"] "2" [label="xlifepp::NedelecEdgeTetrahedron" tooltip="xlifepp::NedelecEdgeTetrahedron"] "4" [label="xlifepp::RefElement" tooltip="xlifepp::RefElement"] "3" [label="xlifepp::RefTetrahedron" tooltip="xlifepp::RefTetrahedron"] "1" -> "2" [dir=forward tooltip="public-inheritance"] "2" -> "3" [dir=forward tooltip="public-inheritance"] "3" -> "4" [dir=forward tooltip="public-inheritance"] }

Collaboration diagram for xlifepp::NedelecEdgeSecondTetrahedronPk:

digraph { graph [bgcolor="#00000000"] node [shape=rectangle style=filled fillcolor="#FFFFFF" font=Helvetica padding=2] edge [color="#1414CE"] "17" [label="std::list< std::vector< PolynomialT< real_t > > >" tooltip="std::list< std::vector< PolynomialT< real_t > > >"] "20" [label="std::map< xlifepp::Quadrature *, std::vector< xlifepp::ShapeValues > >" tooltip="std::map< xlifepp::Quadrature *, std::vector< xlifepp::ShapeValues > >"] "18" [label="std::list< T >" tooltip="std::list< T >"] "21" [label="std::map< K, T >" tooltip="std::map< K, T >"] "7" [label="std::vector< T >" tooltip="std::vector< T >"] "8" [label="std::vector< ShapeType >" tooltip="std::vector< ShapeType >"] "6" [label="std::vector< real_t >" tooltip="std::vector< real_t >"] "10" [label="std::vector< std::vector< int_t > >" tooltip="std::vector< std::vector< int_t > >"] "9" [label="std::vector< std::vector< number_t > >" tooltip="std::vector< std::vector< number_t > >"] "11" [label="std::vector< xlifepp::GeomRefElement * >" tooltip="std::vector< xlifepp::GeomRefElement * >"] "13" [label="std::vector< xlifepp::Interpolation * >" tooltip="std::vector< xlifepp::Interpolation * >"] "19" [label="std::vector< xlifepp::PolynomialsBasisT >" tooltip="std::vector< xlifepp::PolynomialsBasisT >"] "14" [label="std::vector< xlifepp::RefDof * >" tooltip="std::vector< xlifepp::RefDof * >"] "15" [label="std::vector< xlifepp::RefElement * >" tooltip="std::vector< xlifepp::RefElement * >"] "5" [label="xlifepp::GeomRefElement" tooltip="xlifepp::GeomRefElement"] "12" [label="xlifepp::Interpolation" tooltip="xlifepp::Interpolation"] "1" [label="xlifepp::NedelecEdgeSecondTetrahedronPk" tooltip="xlifepp::NedelecEdgeSecondTetrahedronPk" fillcolor="#BFBFBF"] "2" [label="xlifepp::NedelecEdgeTetrahedron" tooltip="xlifepp::NedelecEdgeTetrahedron"] "16" [label="xlifepp::PolynomialsBasisT< K >" tooltip="xlifepp::PolynomialsBasisT< K >"] "4" [label="xlifepp::RefElement" tooltip="xlifepp::RefElement"] "3" [label="xlifepp::RefTetrahedron" tooltip="xlifepp::RefTetrahedron"] "17" -> "18" [dir=forward tooltip="template-instance"] "20" -> "21" [dir=forward tooltip="template-instance"] "8" -> "7" [dir=forward tooltip="template-instance"] "6" -> "7" [dir=forward tooltip="template-instance"] "10" -> "7" [dir=forward tooltip="template-instance"] "9" -> "7" [dir=forward tooltip="template-instance"] "11" -> "7" [dir=forward tooltip="template-instance"] "13" -> "7" [dir=forward tooltip="template-instance"] "19" -> "7" [dir=forward tooltip="template-instance"] "14" -> "7" [dir=forward tooltip="template-instance"] "15" -> "7" [dir=forward tooltip="template-instance"] "5" -> "6" [dir=forward tooltip="usage"] "5" -> "8" [dir=forward tooltip="usage"] "5" -> "9" [dir=forward tooltip="usage"] "5" -> "10" [dir=forward tooltip="usage"] "5" -> "11" [dir=forward tooltip="usage"] "12" -> "13" [dir=forward tooltip="usage"] "1" -> "2" [dir=forward tooltip="public-inheritance"] "2" -> "3" [dir=forward tooltip="public-inheritance"] "16" -> "17" [dir=forward tooltip="public-inheritance"] "4" -> "5" [dir=forward tooltip="usage"] "4" -> "12" [dir=forward tooltip="usage"] "4" -> "14" [dir=forward tooltip="usage"] "4" -> "15" [dir=forward tooltip="usage"] "4" -> "9" [dir=forward tooltip="usage"] "4" -> "16" [dir=forward tooltip="usage"] "4" -> "19" [dir=forward tooltip="usage"] "4" -> "20" [dir=forward tooltip="usage"] "3" -> "4" [dir=forward tooltip="public-inheritance"] }

Nedelec edge second family of any order k on tetrahedron t (NE2k) space Vk P^3_(k) (k+1)(k+2)(k+3)/2 dofs edge dofs : v-> int_e v.t q, q in P_(k)[e] k+1 dofs by edge e face dofs (k>1) : v-> int_f v.q, q in D_(k-1)[f] = P_(k-2)^2 + PH_(k-2)*x (k-1)(k+1) dofs by face tetrahedron dofs (k>3): v-> int_t v.q, q in D_(k-2)[t] = P_(k-3)^3 + PH_(k-3)*x (k-1)(k+1)(k-2)/2 dofs.

“ NOT IMPLEMENTED

Public Functions

NedelecEdgeSecondTetrahedronPk(const Interpolation *int_p)#

Nedelec edge second family of order k on tetrahedron (NF2k)

inline virtual void computeShapeFunctions()#

builds virtual coordinates of moment dofs

inline virtual void computeShapeValues(std::vector<real_t>::const_iterator it_pt, ShapeValues &shv, const bool withDeriv = true, const bool with2Deriv = false) const#

compute shape functions as polynomials

inline virtual void interpolationData()#

returns interpolation data

inline void pointCoordinates()#

local numbering on edges (side)

inline virtual void sideNumbering()#

defines reference element interpolation data