Comparison of analytical and numerical integration techniques for the boundary integrals in the BEM-FEM coupling considering TEAM workshop problem no. 13

Author

Fetzer, Joachim ; Kurz, Stefan ; Lehner, Gunther

Author_Institution

Inst. fur Theor. der Elektrotech., Stuttgart Univ., Germany

Volume

33

Issue

2

fYear

1997

fDate

3/1/1997 12:00:00 AM

Firstpage

1227

Lastpage

1230

Abstract

When the BEM-FEM coupling is used for the solution of a boundary value problem the domain is decomposed into a multiple connected BEM subdomain and generally several FEM subdomains. Magnetic materials are treated in the FEM subdomains only. To keep the discretization process simple, the parts containing magnetic materials coincide with the FEM subdomains. The surrounding air space is described with the help of boundary elements. The coupling of both methods is carried out on the surface of the magnetic materials. The solution of problems discretized this way shows that the accuracy of the results strongly depends on the accuracy of the boundary element integral calculation. Therefore either a large number of Gauss points or an analytical integration scheme has to be used for the calculation of the BEM integrals

Keywords

boundary-elements methods; boundary-value problems; finite element analysis; integration; magnetic materials; magnetostatics; BEM integrals; BEM-FEM coupling; FEM subdomains; Gauss points; TEAM workshop problem no. 13; air space; analytical integration techniques; boundary element integral calculation; boundary elements; boundary value problem solution; magnetic materials; magnetostatic problem; multiple connected BEM subdomain; numerical integration techniques; Boundary value problems; Current density; Finite element methods; Integral equations; Magnetic domains; Magnetic flux; Magnetic materials; Magnetostatics; Surface treatment; Vectors;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.582475

Filename

582475