NiHu::duffy_quadrature< QuadFamily, LSet > Class Template Reference

Transform regular quadratures into weakly singular ,,Duffy-type'' quadratures. More...

#include <duffy_quadrature.hpp>

Public Types
typedef QuadFamily	quadrature_family_tag
	template argument as nested type
typedef LSet	lset_t
	template argument as nested type
typedef lset_t::domain_t	domain_t
	element's domain type
typedef domain_t::xi_t	xi_t
	base domain variable type
typedef domain_t::scalar_t	scalar_t
	domain's scalar type
typedef quadrature_type< quadrature_family_tag, domain_t >::type	ret_quad_type
	the return quadrature type

Static Public Member Functions
static ret_quad_type	on_corner (unsigned degree, unsigned singular_corner)
	create a Duffy quadrature that is singular on one corner of the selected element More...
static ret_quad_type	on_face (unsigned degree, xi_t const &singular_point)
	create a Duffy quadrature that is singular on the face of the selected element More...

Detailed Description

template<class QuadFamily, class LSet>
class NiHu::duffy_quadrature< QuadFamily, LSet >

Transform regular quadratures into weakly singular ,,Duffy-type'' quadratures.

Template Parameters

QuadFamily	the regular quadrature family
LSet	the element geometrical shape set representation

Definition at line 44 of file duffy_quadrature.hpp.

Member Function Documentation

on_corner()

template<class QuadFamily , class LSet >

static ret_quad_type NiHu::duffy_quadrature< QuadFamily, LSet >::on_corner ( unsigned  degree, unsigned  singular_corner  )

inlinestatic

create a Duffy quadrature that is singular on one corner of the selected element

Parameters

[in]	degree	the polynomial degree of the original regular quadrature
[in]	singular_corner	index of the singular corner

Returns

a Duffy type singular quadrature

Definition at line 115 of file duffy_quadrature.hpp.

on_face()

template<class QuadFamily , class LSet >

static ret_quad_type NiHu::duffy_quadrature< QuadFamily, LSet >::on_face ( unsigned  degree, xi_t const &  singular_point  )

inlinestatic

create a Duffy quadrature that is singular on the face of the selected element

Parameters

[in]	degree	the polynomial degree of the original regular quadrature
[in]	singular_point	coordinates of the singular point

Returns

a Duffy type singular quadrature

Definition at line 131 of file duffy_quadrature.hpp.

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

• src/core/duffy_quadrature.hpp