Algebraic multigrid method for nonsymmetric matrices arising in electromagnetic finite-element analyses

Author

Mifune, T. ; Iwashita, T. ; Shimasaki, M.

Author_Institution

Dept. of Electr. Eng., Kyoto Univ., Japan

Volume

39

Issue

3

fYear

2003

fDate

5/1/2003 12:00:00 AM

Firstpage

1670

Lastpage

1673

Abstract

Algebraic multigrid (AMG) methods were originally developed for linear systems of equations with symmetric coefficient matrices. The objective of this paper is to investigate the applicability of the AMG solvers in electromagnetic finite-element analyses, which lead to nonsymmetric matrices. The excellent performances of the AMG solvers are demonstrated in (two-dimensional and three-dimensional) electromagnetic analyses of a magnetohydrodynamic generator and in a three-dimensional eddy-current analysis including a moving conductor.

Keywords

conductors (electric); differential equations; eddy currents; finite element analysis; magnetohydrodynamic convertors; AMG; algebraic multigrid method; coefficient matrices; eddy-current analysis; electromagnetic finite-element analyses; magnetohydrodynamic generator; moving conductor; nonsymmetric matrices; Conductors; Electromagnetic analysis; Equations; Finite element methods; Linear systems; Magnetic analysis; Magnetohydrodynamic power generation; Multigrid methods; Performance analysis; Symmetric matrices;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2003.810349

Filename

1198552