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

#include <TLaplaceBF.hh>

Inheritance diagram for TLaplaceSLPBF< T_ansatzsp, T_testsp >:

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, real >
	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)

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_val >
	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)

virtual	~TQuadBEMBF ()
	destructor

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

Additional Inherited Members
Protected Member Functions inherited from TInvarBasisQuadBEMBF< T_ansatzsp, T_testsp, real >
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 More...

Protected Member Functions inherited from TQuadBEMBF< T_ansatzsp, T_testsp, T_val >
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 *	quad_rule (const uint ncommon, const uint order) const
	return quadrature rule for ncommon vertices and order order

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 *quad_rule, std::vector< value_t > &values) const =0

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>
class HLIB::TLaplaceSLPBF< T_ansatzsp, T_testsp >

     TLaplaceSLPBF implements the bilinear form for the Laplace
     single layer potential with the kernel function
     \f[ \frac{1}{\|x-y\|_2} \f]
     i.e. for the integral equation
     \f[ 4 \pi \int_{\Gamma} \frac{u(y)}{\|x-y\|_2} dy = f(x) \f]

Public Member Functions

Additional Inherited Members

Detailed Description

template<typename T_ansatzsp, typename T_testsp> class HLIB::TLaplaceSLPBF< T_ansatzsp, T_testsp >

template<typename T_ansatzsp, typename T_testsp>
class HLIB::TLaplaceSLPBF< T_ansatzsp, T_testsp >