NiHu::helmholtz_2d_SLP_galerkin_face_general< TestField, TrialField, order > Class Template Reference

Face match double integral of the SLP kernel over a curved element with general shape set. More...

#include <helmholtz_2d_singular_double_integrals.hpp>

Static Public Member Functions
template<class wave_number_t >
static result_t	eval (elem_t const &elem, wave_number_t const &k)
	Evaluate the integral. More...

Detailed Description

template<class TestField, class TrialField, size_t order>
class NiHu::helmholtz_2d_SLP_galerkin_face_general< TestField, TrialField, order >

Face match double integral of the SLP kernel over a curved element with general shape set.

The integration domain is split up into two triangles, both are singular. A new coordinate transform is introduced where the singularity is attributed to a single variable. In the new system the integrand becomes regular, and is integrated using Gaussian quadrature. https://doi.org/10.1016/S0045-7825(03)00286-X

Template Parameters

TestField	The test field type
TrialField	The trial field type
order	The quadrature order

Definition at line 51 of file helmholtz_2d_singular_double_integrals.hpp.

Member Function Documentation

eval()

template<class TestField , class TrialField , size_t order>

template<class wave_number_t >

static result_t NiHu::helmholtz_2d_SLP_galerkin_face_general< TestField, TrialField, order >::eval ( elem_t const &  elem, wave_number_t const &  k  )

inlinestatic

Evaluate the integral.

Template Parameters

wave_number_t

The wave number type

Parameters

[in]

elem

The element

Returns

The integral value

Definition at line 78 of file helmholtz_2d_singular_double_integrals.hpp.

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

• src/library/helmholtz_2d_singular_double_integrals.hpp