Efficient integral equation method for the solution of 3-D magnetostatic problems

Author

Hafla, Wolfgang ; Buchau, André ; Groh, Friedemann ; Rucker, Wolfgang M.

Author_Institution

Inst. for Theor. of Electr. Eng., Univ. of Stuttgart, Germany

Volume

41

Issue

5

fYear

2005

fDate

5/1/2005 12:00:00 AM

Firstpage

1408

Lastpage

1411

Abstract

Nonlinear three-dimensional (3-D) magnetostatic field problems are solved using integral equation methods (IEM). Only the nonlinear material itself has to be discretized. This results in a system of nonlinear equations with a relative small number of unknowns. To keep computational costs low the fully dense system matrix is compressed with the fast multipole method. The accuracy of the applied indirect IEM formulation is improved significantly by the use of a difference field concept and a special treatment of singularities at edges. An improved fixed point solver is used to ensure convergence of the nonlinear problem.

Keywords

computational electromagnetics; magnetic field integral equations; magnetostatics; nonlinear equations; equivalent magnetic charges; fast multipole method; fixed point solver; fully dense system matrix; indirect IEM formulation; integral equation method; nonlinear 3D magnetostatic field problems; nonlinear equations; nonlinear material; Boundary element methods; Computational efficiency; Convergence; Helium; Integral equations; Magnetic fields; Magnetic materials; Magnetostatics; Nonlinear equations; Permeability; Equivalent magnetic charges; fast multipole methods; integral equation methods; nonlinear magnetostatics;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2005.844342

Filename

1430871