Fundamental study for high accuracy calculation of 3-D electromagnetic field

Author

Kuno, Y. ; Yagi, A. ; Morishima, T. ; Uchikawa, Y.

Author_Institution

Dept. of Electron., Nagoya Univ., Japan

Volume

24

Issue

1

fYear

1988

fDate

1/1/1988 12:00:00 AM

Firstpage

295

Lastpage

298

Abstract

The effect of the improper integral and the discretization in 3-D, which are the main error sources in the boundary element method, is investigated. The accuracy of the double numerical integral with a singularity is improved by using the integral variable transform of a double exponential function and executing the integral synchronously along both integral variables. Trigonometric expressions for computation of the integrand are concisely described. Fundamental characteristics of the discretization error in 3-D are demonstrated. The magnitude of the discretization error for the charge distribution can be decreased by combining the piecewise linear solutions with stepwise solutions according to the sizes of the adjacent elements

Keywords

boundary-elements methods; electromagnetic field theory; 3-D electromagnetic field; boundary element method; charge distribution; discretization; error sources; improper integral; piecewise linear solutions; trigonometric expressions; Accuracy; Boundary element methods; Computer errors; Conductors; Distribution functions; Electromagnetic fields; Electrostatics; Integral equations; Optical character recognition software; Space charge; Yagi-Uda antennas;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.43915

Filename

43915