Class xlifepp::SauterSchwabIM#

class SauterSchwabIM : public xlifepp::DoubleIM#

Inheritence diagram for xlifepp::SauterSchwabIM:

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

Collaboration diagram for xlifepp::SauterSchwabIM:

digraph { graph [bgcolor="#00000000"] node [shape=rectangle style=filled fillcolor="#FFFFFF" font=Helvetica padding=2] edge [color="#1414CE"] "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::Quadrature * >" tooltip="std::vector< xlifepp::Quadrature * >"] "2" [label="xlifepp::DoubleIM" tooltip="xlifepp::DoubleIM"] "5" [label="xlifepp::GeomRefElement" tooltip="xlifepp::GeomRefElement"] "3" [label="xlifepp::IntegrationMethod" tooltip="xlifepp::IntegrationMethod"] "4" [label="xlifepp::Quadrature" tooltip="xlifepp::Quadrature"] "12" [label="xlifepp::QuadratureRule" tooltip="xlifepp::QuadratureRule"] "1" [label="xlifepp::SauterSchwabIM" tooltip="xlifepp::SauterSchwabIM" fillcolor="#BFBFBF"] "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"] "2" -> "3" [dir=forward tooltip="public-inheritance"] "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"] "4" -> "5" [dir=forward tooltip="usage"] "4" -> "12" [dir=forward tooltip="usage"] "4" -> "13" [dir=forward tooltip="usage"] "12" -> "6" [dir=forward tooltip="usage"] "1" -> "2" [dir=forward tooltip="public-inheritance"] "1" -> "4" [dir=forward tooltip="usage"] }

integral over a product of geometric elements with singularity using Sauter-Schwab technique (for elements that shared vertices) Stefan A.

Sauter, Christoph Schwab, “Boundary Element Methods”, Springer, 2010

Public Functions

inline SauterSchwabIM(number_t ord = 3)#

basic constructor (order 3 on segment)

inline SauterSchwabIM(Quadrature &q)#

full constructor from quadrature object

inline virtual void print(std::ostream &os) const#

print IntegrationMethod on stream

inline virtual std::list<Quadrature*> quadratures() const#

return the list of (single) quadratures in a list

Public Members

number_t ordEdge#

order of quadrature for for elements adjacent only by an edge

number_t ordSelf#

order of quadrature for self influence (same element)

number_t ordVertex#

order of quadrature for for elements adjacent only by a vertex

Quadrature *quadEdge#

quadrature on segment [0,1] for elements adjacent only by an edge

Quadrature *quadSelf#

quadrature on segment [0,1] for self influence (same element)

Quadrature *quadVertex#

quadrature on segment [0,1] for elements adjacent only by a vertex

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