laplace_2d_singular_double_integrals.hpp File Reference

Analytical expressions for the singular integrals of 2D Laplace kernels. More...

#include "../core/match_types.hpp"
#include "../core/singular_integral_shortcut.hpp"
#include "../util/math_functions.hpp"
#include "field_type_helpers.hpp"
#include "lib_element.hpp"
#include "laplace_kernel.hpp"
#include "normal_derivative_singular_integrals.hpp"
#include "quadrature_store_helper.hpp"
#include <boost/math/constants/constants.hpp>
#include <iostream>

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Classes
class	NiHu::laplace_2d_SLP_galerkin_face_general< TestField, TrialField, order >
	Face match double integral of the SLP kernel. More...
class	NiHu::laplace_2d_SLP_galerkin_face_constant_line
	Face match double integral of the SLP kernel over a constant line. More...
class	NiHu::laplace_2d_SLP_galerkin_face_linear_line
	Face match double integral of the SLP kernel over a linear line. More...
class	NiHu::laplace_2d_SLP_galerkin_edge_general< TestField, TrialField, order >
	Edge match double integral of the HSP kernel. More...
class	NiHu::laplace_2d_SLP_galerkin_edge_constant_line
	Edge match double integral of the SLP kernel over constant lines. More...
class	NiHu::laplace_2d_DLP_galerkin_face_general< TestField, TrialField, order >
	Face match double integral of the DLP kernel. More...
class	NiHu::laplace_2d_DLP_galerkin_edge_constant_line
	Edge match double integral of the DLP kernel over constant lines. More...
class	NiHu::laplace_2d_DLPt_galerkin_face_general< TestField, TrialField, order >
	Face match double integral of the DLPt kernel. More...
class	NiHu::laplace_2d_HSP_galerkin_face_general< TestField, TrialField, order >
	Face match double integral of the HSP kernel. More...
class	NiHu::laplace_2d_HSP_galerkin_face_constant_line
	Face match double integral of the HSP kernel over a constant line. More...
class	NiHu::laplace_2d_HSP_galerkin_edge_general< TestField, TrialField, order >
	Edge match double integral of the HSP kernel. More...
class	NiHu::singular_integral_shortcut< laplace_2d_SLP_kernel, TestField, TrialField, match::match_1d_type, typename std::enable_if< std::is_same< typename get_formalism< TestField, TrialField >::type, formalism::general >::value &&is_constant_line< TestField >::value &&is_constant_line< TrialField >::value >::type >
	Face-match double integral of the SLP kernel over a constant line. More...
class	NiHu::singular_integral_shortcut< laplace_2d_SLP_kernel, TestField, TrialField, match::match_1d_type, typename std::enable_if< std::is_same< typename get_formalism< TestField, TrialField >::type, formalism::general >::value &&is_linear_line< TrialField >::value &&is_linear_line< TestField >::value >::type >
	Face-match double integral of the SLP kernel over a linear line. More...
class	NiHu::singular_integral_shortcut< laplace_2d_SLP_kernel, TestField, TrialField, match::match_1d_type, typename std::enable_if< std::is_same< typename get_formalism< TestField, TrialField >::type, formalism::general >::value &&!(is_linear_line< TrialField >::value &&is_linear_line< TestField >::value) &&!(is_constant_line< TrialField >::value &&is_constant_line< TestField >::value) >::type >
	Face-match double integral of the SLP kernel. More...
class	NiHu::singular_integral_shortcut< laplace_2d_SLP_kernel, TestField, TrialField, match::match_0d_type, typename std::enable_if< std::is_same< typename get_formalism< TestField, TrialField >::type, formalism::general >::value &&is_constant_line< TrialField >::value &&is_constant_line< TestField >::value >::type >
	Edge-match double integral of the SLP kernel over constant lines. More...
class	NiHu::singular_integral_shortcut< laplace_2d_SLP_kernel, TestField, TrialField, match::match_0d_type, typename std::enable_if< std::is_same< typename get_formalism< TestField, TrialField >::type, formalism::general >::value &&!(is_constant_line< TrialField >::value &&is_constant_line< TestField >::value) >::type >
	Edge-match double integral of the SLP kernel. More...
class	NiHu::singular_integral_shortcut< laplace_2d_DLP_kernel, TestField, TrialField, match::match_1d_type, typename std::enable_if< std::is_same< typename get_formalism< TestField, TrialField >::type, formalism::general >::value &&!std::is_same< typename TrialField::elem_t::lset_t, line_1_shape_set >::value >::type >
	Face-match double integral of the DLP kernel over a curved line. More...
class	NiHu::singular_integral_shortcut< laplace_2d_DLP_kernel, TestField, TrialField, match::match_0d_type, typename std::enable_if< std::is_same< typename get_formalism< TestField, TrialField >::type, formalism::general >::value &&is_constant_line< TrialField >::value &&is_constant_line< TestField >::value >::type >
	Edge-match double integral of the DLP kernel over constant lines. More...
class	NiHu::singular_integral_shortcut< laplace_2d_DLPt_kernel, TestField, TrialField, match::match_1d_type, typename std::enable_if< std::is_same< typename get_formalism< TestField, TrialField >::type, formalism::general >::value &&!std::is_same< typename TrialField::elem_t::lset_t, line_1_shape_set >::value >::type >
	Face-match double integral of the DLPt kernel over a curved line. More...
class	NiHu::singular_integral_shortcut< laplace_2d_HSP_kernel, TestField, TrialField, match::match_1d_type, typename std::enable_if< std::is_same< typename get_formalism< TestField, TrialField >::type, formalism::general >::value &&!(is_constant_line< TestField >::value &&is_constant_line< TrialField >::value) >::type >
	Face-match double integral of the HSP kernel. More...
class	NiHu::singular_integral_shortcut< laplace_2d_HSP_kernel, TestField, TrialField, match::match_1d_type, typename std::enable_if< std::is_same< typename get_formalism< TestField, TrialField >::type, formalism::general >::value &&is_constant_line< TestField >::value &&is_constant_line< TrialField >::value >::type >
	Face-match double integral of the HSP kernel over a constant line. More...
class	NiHu::singular_integral_shortcut< laplace_2d_HSP_kernel, TestField, TrialField, match::match_0d_type, typename std::enable_if< std::is_same< typename get_formalism< TestField, TrialField >::type, formalism::general >::value >::type >
	Edge-match double integral of the HSP kernel. More...

Detailed Description

Analytical expressions for the singular integrals of 2D Laplace kernels.

Definition in file laplace_2d_singular_double_integrals.hpp.