A new method for the numerical calculation of Cauchy principal value integrals in BEM applied to electromagnetics

Author

Huber, C.J. ; Rucker, W.M. ; Hoschek, R. ; Richter, K.R.

Author_Institution

Inst. for Theory in Electr. Eng., Stuttgart Univ., Germany

Volume

33

Issue

2

fYear

1997

fDate

3/1/1997 12:00:00 AM

Firstpage

1386

Lastpage

1389

Abstract

A new method for the evaluation of singular boundary element integrals over three-dimensional isoparametric boundary elements of higher order is presented. This new procedure represents a Gaussian quadrature technique using polar coordinates for the calculation of the Gaussian points and the weighting coefficients. This method permits an efficient integration of singular kernels of order O(1/r) on curved surfaces. For a numerical example the proposed integration scheme is compared with other methods (subdivision technique, double exponential formula method, modified Gauss-quadrature) showing high efficiency and accuracy. The actual computation can be easily included in any existing computer code

Keywords

boundary integral equations; boundary-elements methods; electromagnetism; integration; 3D isoparametric boundary elements; BEM; Cauchy principal value integrals; Gaussian points; Gaussian quadrature technique; accuracy; boundary element method; computer code; curved surfaces; double exponential formula method; efficiency; electromagnetics; modified Gauss-quadrature; numerical calculation; polar coordinates; singular boundary element integrals; singular kernels integration; subdivision technique; weighting coefficients; Equations; Gaussian distribution; Gaussian processes; Kernel;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.582515

Filename

582515