DocumentCode
1177997
Title
Iterative Solvers for Singular Symmetric Linear Systems in Low Frequency Electromagnetics
Author
Tinzefte, A. ; Le Menach, Yvonnick ; Piriou, F.
Author_Institution
Lab. of Electrotechnics & Power Electron. (L2EP), Univ. of Lille, Villeneuve dAscq
Volume
45
Issue
3
fYear
2009
fDate
3/1/2009 12:00:00 AM
Firstpage
1428
Lastpage
1431
Abstract
In this paper, several methods based on Krylov methods are proposed to solve the singular linear systems from finite element method. Indeed, in the magnetostatic case, for A-formulation the system to solve is singular but it is auto-gauged by Krylov methods. However, due to the computation of residual vector all the methods (CG, MRTR, SQMR, MINRES) do not present the same behavior. Moreover, these methods are applied to eddy current problem. The numerical behavior are compared and analyzed.
Keywords
eddy currents; finite element analysis; iterative methods; magnetostatics; CG; MINRES; MRTR; SQMR; auto-gauged by Krylov methods; eddy current problem; finite element method; iterative solvers; low frequency electromagnetics; magnetostatics; singular symmetric linear systems; Eddy currents; magnetostatics; numerical analysis;
fLanguage
English
Journal_Title
Magnetics, IEEE Transactions on
Publisher
ieee
ISSN
0018-9464
Type
jour
DOI
10.1109/TMAG.2009.2012660
Filename
4787497
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