Class for 2D quadrature over the source triangle with singularity treatment for RWG-based BEM operators. Reference: More...

#include <singularity.hpp>

Inheritance diagram for bem::rwg::SrcSingularity< TriangleQuadratureType, ScalarKernelType >:

Detailed Description

template<typename TriangleQuadratureType = GaussTriangleQuadrature<2>, typename ScalarKernelType = SingularitySubtractedTaylorHGF>
class bem::rwg::SrcSingularity< TriangleQuadratureType, ScalarKernelType >

Class for 2D quadrature over the source triangle with singularity treatment for RWG-based BEM operators. Reference:

[1] O. Ergul, L. Gurel, "The Multilevel Fast Multipole Algorithm (MLFMA) for Solving Large-Scale Computational Electromagnetics Problems," book, Wiley-IEEE Press, 2014.

Template Parameters

TriangleQuadratureType	- Type of the triangle quadrature object, which must derive from `TriangleQuadratureBase<2>`.
ScalarKernelType	- Object for computing the scalar kernel with its singularity subtracted, which must derive from `ScalarKernelBase<3>`.

Definition at line 52 of file singularity.hpp.

Constructor & Destructor Documentation

◆ SrcSingularity()

template<typename TriangleQuadratureType = GaussTriangleQuadrature<2>, typename ScalarKernelType = SingularitySubtractedTaylorHGF>

bem::rwg::SrcSingularity< TriangleQuadratureType, ScalarKernelType >::SrcSingularity	(	const TriangleQuadratureType	tri_quad = `GaussTriangleQuadrature<2>()`,
		const ScalarKernelType	kernel = `SingularitySubtractedTaylorHGF()`
	)

inline

Constructs a SrcSingularity with a specified triangle quadrature object.

Parameters

[in]	tri_quad	- Triangle quadrature object to use for integration (optional).
[in]	kernel	- Object for computing the scalar kernel with its singularity subtracted (optional).

Definition at line 72 of file singularity.hpp.

Member Function Documentation

◆ integrate()

template<typename TriangleQuadratureType , typename ScalarKernelType >

SrcResult bem::rwg::SrcSingularity< TriangleQuadratureType, ScalarKernelType >::integrate	(	const Complex	k,
		const Triangle< 2 > &	src_tri,
		ConstEigRef< EigMatNX< Float, 3 > >	r_obs
	)

overridevirtual

Computes the integral over the source triangle.

Parameters

[in]	k	- Complex wavenumber.
[in]	src_tri	- Source triangle in 2D space.
[in]	r_obs	- Observation points in the local coordinate system of `src_tri`.

Returns: Integration result.

Implements bem::rwg::SrcIntegratorBase.

Definition at line 31 of file singularity.tpp.

◆ quadrature_object() [1/2]

template<typename TriangleQuadratureType = GaussTriangleQuadrature<2>, typename ScalarKernelType = SingularitySubtractedTaylorHGF>

const TriangleQuadratureType & bem::rwg::SrcSingularity< TriangleQuadratureType, ScalarKernelType >::quadrature_object ( ) const

inline

Provides read-only access to the triangle quadrature object for inspection.

Returns: Read-only reference to the triangle quadrature object.

Definition at line 96 of file singularity.hpp.

◆ quadrature_object() [2/2]

template<typename TriangleQuadratureType = GaussTriangleQuadrature<2>, typename ScalarKernelType = SingularitySubtractedTaylorHGF>

TriangleQuadratureType & bem::rwg::SrcSingularity< TriangleQuadratureType, ScalarKernelType >::quadrature_object ( )

inline

Provides writable access to the triangle quadrature object.

Returns: Writable reference to the triangle quadrature object.

Definition at line 104 of file singularity.hpp.

◆ set_compute_terms()

virtual void bem::rwg::SrcIntegratorBase::set_compute_terms	(	bool	compute_g_terms,
		bool	compute_grad_g_terms
	)

inlinevirtualinherited

Sets flags defining which terms to compute during integration.

Parameters

[in]

compute_g_terms

- If true, computes

\[ \int_{\mathrm{src\_tri}} d\mathcal{S}'\,G(k, \vec{r}, \vec{r}\,') \]

and

\[ \int_{\mathrm{src\_tri}} d\mathcal{S}'\,\vec{r}\,'\,G(k, \vec{r}, \vec{r}\,') \]

for the scalar kernel \( G(k, \vec{r}, \vec{r}\,') \).

[in]

compute_grad_g_terms

- If true, computes

\[ \int_{\mathrm{src\_tri}} d\mathcal{S}'\,\nabla G(k, \vec{r}, \vec{r}\,'), \]

\[ \int_{\mathrm{src\_tri}} d\mathcal{S}'\,x'\,\nabla G(k, \vec{r}, \vec{r}\,'), \]

and

\[ \int_{\mathrm{src\_tri}} d\mathcal{S}'\,y'\,\nabla G(k, \vec{r}, \vec{r}\,'), \]

for the scalar kernel \( G(k, \vec{r}, \vec{r}\,') \), and for local source triangle coordinates \(\vec{r}\,' = [x', y']^T\).

Definition at line 96 of file base.hpp.

◆ zeros()

virtual SrcResult bem::rwg::SrcIntegratorBase::zeros	(	const Complex	k,
		const Triangle< 2 > &	src_tri,
		ConstEigRef< EigMatNX< Float, 3 > >	r_obs
	)

inlinevirtualinherited

Returns a result of zeros of the appropriate size.

Parameters

[in]	k	- Complex wavenumber.
[in]	src_tri	- Source triangle in 2D space.
[in]	r_obs	- Observation points in the local coordinate system of `src_tri`.

Returns: Integration result.

Definition at line 114 of file base.hpp.

Member Data Documentation

◆ compute_g_terms_

bool bem::rwg::SrcIntegratorBase::compute_g_terms_ = true

protectedinherited

Definition at line 123 of file base.hpp.

◆ compute_grad_g_terms_

bool bem::rwg::SrcIntegratorBase::compute_grad_g_terms_ = true

protectedinherited

Definition at line 124 of file base.hpp.

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

source/rwg/integrators/src/singularity.hpp
source/rwg/integrators/src/singularity.tpp