Accuracy improvement using a modified Gauss-quadrature for integral methods in electromagnetics

Author

Schlemmer, E. ; Steffan, J. ; Rucker, W.M. ; Richter, K.R.

Author_Institution

Inst. for Fundamentals & Theory in Electr. Eng., Graz Univ., of Technol., Austria

Volume

28

Issue

2

fYear

1992

fDate

3/1/1992 12:00:00 AM

Firstpage

1755

Lastpage

1758

Abstract

A Gaussian quadrature technique for evaluating shape-function-boundary-element kernel produce integrals over three-dimensional isoparametric boundary elements is presented. The procedure allows the integration of singular kernels of O(1/r) on curved surfaces. The integration of the normal derivative of Green´s function is also possible. Integrals which exist in the sense of Cauchy principal values are dealt with using the addition-subtraction technique. The accuracy of the numerical integration scheme is compared with that of the double exponential formula and the subdivision technique. Some examples show the effectiveness of the procedure

Keywords

Green´s function methods; boundary-elements methods; electromagnetic fields; Cauchy principal values; Green´s function; addition-subtraction technique; curved surfaces; double exponential formula; electromagnetics; integral methods; modified Gauss-quadrature; shape-function-boundary-element kernel produce integrals; subdivision technique; three-dimensional isoparametric boundary elements; Boundary element methods; Gaussian processes; Green´s function methods; Integral equations; Interpolation; Jacobian matrices; Kernel; Polynomials; Shape; Tin;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.124044

Filename

124044