NiHu::laplace_2d_SLP_collocation_curved< TestField, TrialField, order > Class Template Reference

Collocational integral of the SLP kernel. More...

#include <laplace_2d_singular_collocation_integrals.hpp>

Static Public Member Functions
static result_row_t	eval_row (xi_t const &xi0, elem_t const &elem)
	evaluate a row of the result matrix (single collocation point) More...
static result_t	eval (elem_t const &elem)
	Evaluate the integral. More...

Detailed Description

template<class TestField, class TrialField, size_t order>
class NiHu::laplace_2d_SLP_collocation_curved< TestField, TrialField, order >

Collocational integral of the SLP kernel.

The kernel contains a \(\log(r)\) type weak singularity. The kernel is decoupled into a singular and a regular part. The singular part is integrated using a log Gaussian quadrature. The remaining regular part is integrated using a Gauss-Legendre quadrature.

Template Parameters

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

Definition at line 56 of file laplace_2d_singular_collocation_integrals.hpp.

Member Function Documentation

eval()

template<class TestField , class TrialField , size_t order>

static result_t NiHu::laplace_2d_SLP_collocation_curved< TestField, TrialField, order >::eval ( elem_t const &  elem )

inlinestatic

Evaluate the integral.

Parameters

[in]

elem

The element

Returns

The integral value

Definition at line 150 of file laplace_2d_singular_collocation_integrals.hpp.

eval_row()

template<class TestField , class TrialField , size_t order>

static result_row_t NiHu::laplace_2d_SLP_collocation_curved< TestField, TrialField, order >::eval_row ( xi_t const &  xi0, elem_t const &  elem  )

inlinestatic

evaluate a row of the result matrix (single collocation point)

Parameters

[in]	xi0	the collocation ponit in intrinsic domain
[in]	elem	then trial element

Returns

a row of the result integral

Definition at line 89 of file laplace_2d_singular_collocation_integrals.hpp.

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

• src/library/laplace_2d_singular_collocation_integrals.hpp