Class for quadrature over the observation triangle for RWG-based BEM operators. Reference: O. Ergul, L. Gurel, "The Multilevel Fast Multipole Algorithm (MLFMA) for Solving Large-Scale Computational Electromagnetics Problems," book, Wiley-IEEE Press, 2014. More...

#include <quadrature.hpp>

Inheritance diagram for bem::rwg::ObsQuadrature< TriangleQuadratureType, SrcIntegratorType >:

Detailed Description

template<typename TriangleQuadratureType = GaussTriangleQuadrature<3>, typename SrcIntegratorType = SrcStrategic<>>
class bem::rwg::ObsQuadrature< TriangleQuadratureType, SrcIntegratorType >

Class for quadrature over the observation triangle for RWG-based BEM operators. Reference: 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<3>`.
SrcIntegratorType	- Object for integrating over the source triangle, which must derive from `SrcIntegratorBase`.

Definition at line 49 of file quadrature.hpp.

Constructor & Destructor Documentation

◆ ObsQuadrature()

template<typename TriangleQuadratureType = GaussTriangleQuadrature<3>, typename SrcIntegratorType = SrcStrategic<>>

bem::rwg::ObsQuadrature< TriangleQuadratureType, SrcIntegratorType >::ObsQuadrature	(	const TriangleQuadratureType	tri_quad = `GaussTriangleQuadrature<3>()`,
		const SrcIntegratorType	src_integrator = `SrcStrategic<>()`
	)

inline

Constructs an ObsQuadrature with a specified triangle quadrature object.

Parameters

[in]	tri_quad	- Triangle quadrature object to use for integration.
[in]	src_integrator	- Object for integrating over the source triangle.

Definition at line 69 of file quadrature.hpp.

Member Function Documentation

◆ integrate()

template<typename TriangleQuadratureType , typename SrcIntegratorType >

ObsResult bem::rwg::ObsQuadrature< TriangleQuadratureType, SrcIntegratorType >::integrate	(	const Complex	k,
		const Triangle< 3 > &	obs_tri,
		const Triangle< 2 > &	src_tri
	)

overridevirtual

Computes the integral over the observation triangle.

Parameters

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

Returns: Integration result.

Implements bem::rwg::ObsIntegratorBase.

Definition at line 32 of file quadrature.tpp.

◆ quadrature_object() [1/2]

template<typename TriangleQuadratureType = GaussTriangleQuadrature<3>, typename SrcIntegratorType = SrcStrategic<>>

const TriangleQuadratureType & bem::rwg::ObsQuadrature< TriangleQuadratureType, SrcIntegratorType >::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 93 of file quadrature.hpp.

◆ quadrature_object() [2/2]

template<typename TriangleQuadratureType = GaussTriangleQuadrature<3>, typename SrcIntegratorType = SrcStrategic<>>

TriangleQuadratureType & bem::rwg::ObsQuadrature< TriangleQuadratureType, SrcIntegratorType >::quadrature_object ( )

inline

Provides writable access to the triangle quadrature object.

Returns: Writable reference to the triangle quadrature object.

Definition at line 101 of file quadrature.hpp.

◆ src_integrator() [1/2]

template<typename TriangleQuadratureType = GaussTriangleQuadrature<3>, typename SrcIntegratorType = SrcStrategic<>>

const SrcIntegratorType & bem::rwg::ObsQuadrature< TriangleQuadratureType, SrcIntegratorType >::src_integrator ( ) const

inline

Provides read-only access to the source integrator for inspection.

Returns: Read-only reference to the source integrator object.

Definition at line 109 of file quadrature.hpp.

◆ src_integrator() [2/2]

template<typename TriangleQuadratureType = GaussTriangleQuadrature<3>, typename SrcIntegratorType = SrcStrategic<>>

SrcIntegratorType & bem::rwg::ObsQuadrature< TriangleQuadratureType, SrcIntegratorType >::src_integrator ( )

inline

Provides writable access to the source integrator object.

Returns: Writable reference to the source integrator object.

Definition at line 117 of file quadrature.hpp.

◆ set_compute_terms()

virtual void bem::rwg::ObsIntegratorBase::set_compute_terms	(	bool	compute_g_term,
		bool	compute_rs_g_terms,
		bool	compute_grad_g_terms,
		bool	compute_rot_grad_g_terms
	)

inlinevirtualinherited

Sets flags defining which terms to compute during integration, which are propagated into the source triangle integration.

Parameters

[in]	compute_g_term	- If true, computes \[ \int_{\mathrm{obs\_tri}} d\mathcal{S}\, \int_{\mathrm{src\_tri}} d\mathcal{S}'\,G(k, \vec{r}, \vec{r}\,') \] for the scalar kernel \( G(k, \vec{r}, \vec{r}\,') \).
[in]	compute_rs_g_terms	- If true, computes terms related to \[ \int_{\mathrm{obs\_tri}} d\mathcal{S}\,\vec{r}\cdot \int_{\mathrm{src\_tri}} d\mathcal{S}'\,\vec{r}\,'\,G(k, \vec{r}, \vec{r}\,') \] for the scalar kernel \( G(k, \vec{r}, \vec{r}\,') \).
[in]	compute_grad_g_terms	- If true, computes terms related to \[ \int_{\mathrm{obs\_tri}} d\mathcal{S}\,\vec{r}\cdot \int_{\mathrm{src\_tri}} d\mathcal{S}'\,\nabla G(k, \vec{r}, \vec{r}\,')\times\vec{r}\,' \] for the scalar kernel \( G(k, \vec{r}, \vec{r}\,') \).
[in]	compute_rot_grad_g_terms	- If true, computes terms related to \[ \int_{\mathrm{obs\_tri}} d\mathcal{S}\,\hat{n}\times\vec{r}\cdot \int_{\mathrm{src\_tri}} d\mathcal{S}'\,\nabla G(k, \vec{r}, \vec{r}\,')\times\vec{r}\,' \] for the scalar kernel \( G(k, \vec{r}, \vec{r}\,') \).

Definition at line 94 of file base.hpp.

Member Data Documentation

◆ compute_g_term_

bool bem::rwg::ObsIntegratorBase::compute_g_term_ = true

protectedinherited

Definition at line 111 of file base.hpp.

◆ compute_rs_g_terms_

bool bem::rwg::ObsIntegratorBase::compute_rs_g_terms_ = true

protectedinherited

Definition at line 112 of file base.hpp.

◆ compute_grad_g_terms_

bool bem::rwg::ObsIntegratorBase::compute_grad_g_terms_ = true

protectedinherited

Definition at line 113 of file base.hpp.

◆ compute_rot_grad_g_terms_

bool bem::rwg::ObsIntegratorBase::compute_rot_grad_g_terms_ = true

protectedinherited

Definition at line 114 of file base.hpp.

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

source/rwg/integrators/obs/quadrature.hpp
source/rwg/integrators/obs/quadrature.tpp