Used for the basic classes of the boundary element method. More...

Classes
class	AdaptConst3d000
	A 3D adaptive BEM space with piecewise constant basis functions without any constaints. More...

class	AdaptConst3d001
	A 3D adaptive BEM space with piecewise constant basis functions. More...

class	AdaptConst3d002
	A 3D adaptive BEM space with piecewise constant basis functions. More...

struct	AdaptiveAdjust
	Class to describe adjustments to elements in an adaptive space. More...

class	AdaptiveSpace

class	AdaptLaplaceDL00
	Bilinear form for the Laplace double layer potential with piecewise constant shape functions and hanging nodes (=> recursive subdivision of the larger triangle). More...

class	AdaptLaplaceDL01
	Bilinear form for the Laplace double layer potential with piecewise constant shape functions and hanging nodes (=> recursive subdivision of the larger triangle). More...

class	AdaptLaplaceDLP
	Linear form for the Laplace Double Layer potential. More...

class	AdaptLaplaceSL01
	Bilinear form for the Laplace Single Layer potential with piecewise constant shape functions and hanging nodes (=> recursive subdivision of the larger triangle). More...

class	AdaptLaplaceSLP
	Linear form for the Laplace Single Layer potential. More...

class	ArbKrnl000
	Bilinear form to compute arbitrary kernels with NO singularities. More...

class	ArbKrnlGal000
	Bilinear form for arbitrary kernel with NO singularities. More...

class	ArbKrnlGal000Traits

class	ArbKrnlGal001
	Bilinear form for arbitrary kernel with NO singularities. More...

class	ArbKrnlGal001Traits

class	Cnst
	Constant kernel function (used only to test quadrature schemes) More...

class	Constant3d
	A 3D space with discontinuous, piecewise constant basis functions. More...

class	Constant3d000
	Constant triangular element. More...

class	Constant3d001
	Constant space element with a level dependent key. More...

class	Constant3d002
	Constant triangular element with normed basis function. More...

class	ConstDLPAbscWghtEdg
	Abscissas and weights for the case of common edge, double layer potential and constant test/trial functions. More...

class	ConstDLPAbscWghtVtx
	Abscissas and weights for the case of common vertex, double layer potential and constant test/trial functions. More...

class	ConstSLPAbscWghtEdg
	Abscissas and weights for the case of common edge, single layer potential and constant test/trial functions. More...

class	ConstSLPAbscWghtPnl
	Abscissas and weights for the case of common panel, single layer potential and constant test/trial functions. More...

class	ConstSLPAbscWghtVtx
	Abscissas and weights for the case of common vertex, single layer potential and constant test/trial functions. More...

class	ConstTriGraphics
	Handles graphics for trianular constant elements. More...

class	D
	Diagonal scaling operator for the piecewise constant basis. More...

class	D_1
	Diagonal scaling operator for the piecewise constant basis. More...

class	Dirac3d
	A 3D space with Dirac basis functions. More...

class	Dirac3d000
	Dirac element on triangles (used for collocation method). More...

class	EdgeMap
	Class to map the edges to the two neighbouring panels. More...

class	ExpR
	$e^{-\gamma r}$ More...

class	ExpR2
	$e^{- r^\top \gamma r}$ More...

class	GaussAbscWght
	Gauss abscissas and weights for the interval . More...

class	GaussAbscWghtSym
	Symmetric Gauss abscissas and weights for the interval . More...

class	Identity
	Bilinear form to compute the mass matrix. More...

class	Inv1Rn
	$\frac{1}{1 + \gamma r^n}$ More...

class	Laplace
	$\frac{1}{4\pi r}$ More...

class	LaplaceDL
	Bilinear form to compute the Laplace double layer potential. More...

class	LaplaceDLP
	Linear form to evaluate the Laplace double layer potential. More...

class	LaplaceHyp
	Bilinear form to compute the Laplace hypersingular operator. More...

class	LaplacePLD
	Bilinear form to compute the adjoint of the Laplace double layer potential. More...

class	LaplaceSL
	Bilinear form to compute the Laplace single layer potential. More...

class	LaplaceSLP
	Linear form to evaluate the Laplace single layer potential. More...

class	Linear3d
	A 3D space with continuous, piecewise linear basis functions. More...

class	Linear3d000
	Linear triangular element. More...

class	LinearDLPAbscWghtEdg
	Abscissas and weights for the case of common edge, double layer potential and linear test/trial functions. More...

class	LinearDLPAbscWghtVtx
	Abscissas and weights for the case of common vertex, double layer potential and linear test/trial functions. More...

class	LinearHYPAbscWghtEdg
	Abscissas and weights for the case of common edge, hypersingular operator and linear test/trial functions. More...

class	LinearHYPAbscWghtPnl
	Abscissas and weights for the case of common panel, hypersingular operator and linear test/trial functions. More...

class	LinearHYPAbscWghtVtx
	Abscissas and weights for the case of common vertex, hypersingular operator and linear test/trial functions. More...

class	LinearSLPAbscWghtEdg
	Abscissas and weights for the case of common edge, single layer potential and linear test/trial functions. More...

class	LinearSLPAbscWghtPnl
	Abscissas and weights for the case of common panel, single layer potential and linear test/trial functions. More...

class	LinearSLPAbscWghtVtx
	Abscissas and weights for the case of common vertex, single layer potential and linear test/trial functions. More...

class	LinTriGraphics
	Handles graphics for trianular linear elements. More...

class	Lpl000
	Evaluation of the Laplace double layer potential with linear trial functions for use in the internal/external points. More...

class	Lpl001
	Evaluation of the Laplace double layer potential with constant trial functions for use in the internal/external points. More...

class	Lpl003
	Evaluation of the Laplace single layer potential with linear trial functions for use in the internal/external points. More...

class	Lpl004
	Evaluation of the Laplace single layer potential with constant trial functions for use in the internal/external points. More...

class	LplCol006
	Evaluation of the Laplace single layer potential with linear trial functions (collocation). More...

class	LplCol007
	Evaluation of the Laplace double layer potential with linear trial functions (collocation). More...

class	LplGal000
	Evaluation of the Laplace single layer potential with linear test/trial functions. More...

class	LplGal001
	Evaluation of the Laplace double layer potential with linear test/trial functions. More...

class	LplGal002
	Evaluation of the Laplace hypersingular operator with linear test/trial functions. More...

class	LplGal004
	Evaluation of the Laplace double layer potential with linear test/trial functions. More...

class	LplGal005
	Evaluation of the Laplace hypersingular operator with linear test/trial functions. More...

class	LplGal006
	Evaluation of the Laplace single layer potential with linear test/trial functions. More...

class	LplGal007
	Evaluation of the Laplace double layer potential with linear test/trial functions. More...

class	LplGal008
	Evaluation of the Laplace hypersingular operator with linear test/trial functions. More...

class	LplGal009
	Evaluation of the Laplace double layer potential with linear test/trial functions. More...

class	LplGal010
	Evaluation of the Laplace double layer potential with constant test/trial functions. More...

class	LplGal011
	Evaluation of the Laplace double layer potential with constant test/trial functions. More...

class	LplGal012
	Evaluation of the Laplace double layer potential with constant test/trial functions. More...

class	LplGal014
	Evaluation of the Laplace double layer potential with constant test/trial functions. More...

class	LplGal018
	Evaluation of the Laplace single layer potential with constant test/trial functions. More...

class	Neumann
	Linear form. More...

class	NoOfIntegrationPointsToHigh
	Exception class to express that the number of integration points exceeds the number of precalculated values. More...

class	Poly
	Polynomial in one variable (used only to test quadrature schemes) More...

class	Riesz
	Linear form to evaluate $\int_K f v \, dx$ . More...

class	StroudAbscWght
	Abscissas and weights for Stroud formulas. More...

class	StroudLinTrialWght
	Abscissas and weight. More...

class	TriangleGraphics
	Handles graphics for triangles in 3D. More...

Functions
uint	match (const concepts::Triangle &triX, const concepts::Triangle &triY)
	Function to check if two triangles are connected. More...

std::ostream &	operator<< (std::ostream &os, const AdaptiveAdjust &adj)

Variables
const Real	int_1_PI4

Detailed Description

Used for the basic classes of the boundary element method.

Author: Gregor Schmidlin, 2002

Function Documentation

◆ match()

uint bem::match	(	const concepts::Triangle &	triX,
		const concepts::Triangle &	triY
	)

Function to check if two triangles are connected.

Returns

Returns a 28 bit code which detects the connection. Format

<nr><x1><y1><x2><y2><x3><y3>

Each <> denotes 4 bits. nr counts the number of matching vertices. The pairs <xi><yj> denote the keys of the matching vertices.

◆ operator<<()

std::ostream& bem::operator<<	(	std::ostream &	os,
		const AdaptiveAdjust &	adj
	)

Variable Documentation

◆ int_1_PI4

const Real bem::int_1_PI4

bem Namespace Reference

Classes