Bilinear form for Helmholtz single layer potential. More...

#include <THelmholtzBF.hh>

Inheritance diagram for THelmholtzSLPBF< T_ansatzsp, T_testsp, T_value >:

Public Member Functions
matform_t	format () const
	return format of bilinear form, e.g. symmetric

Public Member Functions inherited from TInvarBasisQuadBEMBF< T_ansatzsp, T_testsp, T_val >
	TInvarBasisQuadBEMBF (const ansatzsp_t ansatzsp, const testsp_t testsp, const uint order=CFG::BEM::quad_order, const bool dist_ada=CFG::BEM::adaptive_quad_order, const double ada_err=0)

virtual	~TInvarBasisQuadBEMBF ()
	destructor

virtual void	eval (const std::vector< idx_t > &row_ind, const std::vector< idx_t > &col_ind, BLAS::Matrix< value_t > &values) const

Public Member Functions inherited from TQuadBEMBF< T_ansatzsp, T_testsp, T_value >
	TQuadBEMBF (const ansatzsp_t ansatzsp, const testsp_t testsp, const uint order=CFG::BEM::quad_order, const bool dist_ada=CFG::BEM::adaptive_quad_order, const double ada_err=0)

virtual	~TQuadBEMBF ()
	destructor

virtual void	eval (const std::vector< idx_t > &row_ind, const std::vector< idx_t > &col_ind, BLAS::Matrix< value_t > &values) const

Public Member Functions inherited from TBEMBF< T_ansatzsp, T_testsp, T_val >
	TBEMBF (const ansatzsp_t aansatzsp, const testsp_t atestsp)
	construct bilinear form over function spaces ansatzsp and testsp

virtual	~TBEMBF ()
	destructor

const ansatzsp_t *	ansatz_space () const
	return ansatz space

const testsp_t *	test_space () const
	return test space

Public Member Functions inherited from TBilinearForm< T_val >
bool	is_complex () const
	return true if bilinear form is complex valued

Protected Member Functions
virtual void	eval_kernel (const idx_t tri0idx, const idx_t tri1idx, const TGrid::triangle_t &tri0, const TGrid::triangle_t &tri1, const tripair_quad_rule_t< real_t > *quad_rule, std::vector< value_t > &values) const

Protected Member Functions inherited from TInvarBasisQuadBEMBF< T_ansatzsp, T_testsp, T_val >
void	compute_basis_func ()
	compute ansatz and test basis functions for all quadrature points

const std::vector< ansatz_value_t > *	ansatz_val (const idx_t idx, const TGrid::triangle_t &tri, const uint ncommon, const uint order) const

const std::vector< test_value_t > *	test_val (const idx_t idx, const TGrid::triangle_t &tri, const uint ncommon, const uint order) const
	same as

Protected Member Functions inherited from TQuadBEMBF< T_ansatzsp, T_testsp, T_value >
uint	reorder_common (idx_t vtx0idxs, idx_t vtx1idxs) const

uint	adjust_order (const idx_t vtx0idxs, const idx_t vtx1idxs, const uint order) const
	adjust quadrature order order depending on diameter and distance of triangles

const tripair_quad_rule_t< real_t > *	quad_rule (const uint ncommon, const uint order) const
	return quadrature rule for ncommon vertices and order order

Additional Inherited Members
Protected Attributes inherited from TBEMBF< T_ansatzsp, T_testsp, T_val >
const ansatzsp_t *	_ansatz_sp
	function space for ansatz functions

const testsp_t *	_test_sp
	function space for test functions

Detailed Description

template<typename T_ansatzsp, typename T_testsp, typename T_value>
class Hpro::THelmholtzSLPBF< T_ansatzsp, T_testsp, T_value >

     THelmholtzSLPBF implements the bilinear form for the Helmholtz
     single layer potential with the kernel function
     \f[ \frac{e^{i\kappa \|x-y\|_2}}{\|x-y\|_2} \f]
     i.e. for the integral equation
     \f[ 4 \pi \int_{\Gamma} \frac{u(y) \cdot e^{i\kappa \|x-y\|_2}}{\|x-y\|_2} dy = f(x) \f]

Member Function Documentation

◆ eval_kernel()

template<typename T_ansatzsp , typename T_testsp , typename T_value >

virtual void eval_kernel	(	const idx_t	tri0idx,
		const idx_t	tri1idx,
		const TGrid::triangle_t &	tri0,
		const TGrid::triangle_t &	tri1,
		const tripair_quad_rule_t< real_t > *	quad_rule,
		std::vector< value_t > &	values
	)		const

protectedvirtual

compute kernel at quadrature points in triangles tri0idx and tri1idx with coordinate indices tri0 and tri1 using quadrature rule quad_rule; the results for all points are returned in values

Implements TQuadBEMBF< T_ansatzsp, T_testsp, T_value >.

Public Member Functions

Protected Member Functions

Additional Inherited Members

Detailed Description

Member Function Documentation

◆ eval_kernel()