Class xlifepp::LagrangeQuadrangle#

class LagrangeQuadrangle : public xlifepp::RefQuadrangle#

Inheritence diagram for xlifepp::LagrangeQuadrangle:

digraph { graph [bgcolor="#00000000"] node [shape=rectangle style=filled fillcolor="#FFFFFF" font=Helvetica padding=2] edge [color="#1414CE"] "4" [label="xlifepp::LagrangeGLQuadrangle" tooltip="xlifepp::LagrangeGLQuadrangle"] "1" [label="xlifepp::LagrangeQuadrangle" tooltip="xlifepp::LagrangeQuadrangle" fillcolor="#BFBFBF"] "5" [label="xlifepp::LagrangeStdQuadrangle" tooltip="xlifepp::LagrangeStdQuadrangle"] "3" [label="xlifepp::RefElement" tooltip="xlifepp::RefElement"] "2" [label="xlifepp::RefQuadrangle" tooltip="xlifepp::RefQuadrangle"] "4" -> "1" [dir=forward tooltip="public-inheritance"] "1" -> "2" [dir=forward tooltip="public-inheritance"] "5" -> "1" [dir=forward tooltip="public-inheritance"] "2" -> "3" [dir=forward tooltip="public-inheritance"] }

Collaboration diagram for xlifepp::LagrangeQuadrangle:

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

defines Lagrange Reference Element interpolation data on quadrangles

Subclassed by xlifepp::LagrangeGLQuadrangle, xlifepp::LagrangeStdQuadrangle

Public Functions

LagrangeQuadrangle(const Interpolation *interp_p)#

constructor by interpolation

LagrangeQuadrangle constructor for Lagrange reference elements.

virtual ~LagrangeQuadrangle()#

destructor

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

Lagrange Qk shape functions.

standard Lagrange Q_k quadrangle Reference Element shape functions ((k+1)^2 nodes) build using standard Lagrange P_k 1D Reference Element shape functions (k+1 nodes) at standard (equidistant on edges) points or Gauss-Lobatto abscissae.

Second derivative NOT MANAGED !

virtual void outputAsP1(std::ofstream &os, const int, const std::vector<number_t> &ranks) const#

output of Lagrange D.o.f’s numbers on underlying P1-triangle D.o.f’s

output of Lagrange D.o.f’s numbers on underlying P1 mesh D.o.f’s