Class xlifepp::NedelecFaceFirstTetrahedronPk#

class NedelecFaceFirstTetrahedronPk : public xlifepp::NedelecFaceTetrahedron#

Inheritence diagram for xlifepp::NedelecFaceFirstTetrahedronPk:

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Collaboration diagram for xlifepp::NedelecFaceFirstTetrahedronPk:

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::NedelecFaceFirstTetrahedronPk" tooltip="xlifepp::NedelecFaceFirstTetrahedronPk" fillcolor="#BFBFBF"] "2" [label="xlifepp::NedelecFaceTetrahedron" tooltip="xlifepp::NedelecFaceTetrahedron"] "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 face first family of any order k on tetrahedron t (NF1k) space Vk: P^3_(k-1) + PH_(k-1)*(x1,x2,x3), dim Vk = k(k+1)(k+3)/2 face dofs: v-> int_f v.n q, q in P_(k-1)[f] k(k+1)/2 dofs by face f terrahedron dofs: v-> int_t v.q, q in P_(k-2)[t]^3 k(k-1)(k+1)/2 dofs only for k>1.

Public Functions

NedelecFaceFirstTetrahedronPk(const Interpolation *int_p)#

Nedelec face first family of order k on tetrahedron (NF1k)

virtual void computeShapeFunctions()#

compute shape functions as polynomials

compute shape functions as polynomials using general algorithm

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

compute shape values at a point

virtual Value evalFaceDof(const FeDof &dof, const GeomElement &selt, const Function &f, const Function &gradf, const Function &grad2f) const#

specific eval face dof function

virtual void interpolationData()#

defines reference element interpolation data

interp defines Reference Element interpolation data

void pointCoordinates()#

builds virtual coordinates of moment dofs

virtual number_t sideDofsMap(const number_t &n, const number_t &i, const number_t &j, const number_t &k = 0) const#

side dofs mapping

virtual void sideNumbering()#

local numbering on edges (side)