DocumentCode
1502323
Title
Folded IC Preconditioning in Quasi-Static Field Analysis Taking Account of Both Tree-Cotree and 
Gauge Conditions
Author
Takahashi, Yasuhito ; Mifune, Takeshi ; Iwashita, Takeshi ; Fujiwara, Koji ; Ishihara, Yoshiyuki
Author_Institution
Dept. of Electr. Eng., Doshisha Univ., Kyoto, Japan
Volume
47
Issue
5
fYear
2011
fDate
5/1/2011 12:00:00 AM
Firstpage
1342
Lastpage
1345
Abstract
This paper develops a folded preconditioning (FP) in quasi-static field analysis taking account of both tree-cotree and φ = 0 gauge conditions. We present an efficient procedure to compute the matrix-vector multiplication with respect to the auxiliary matrices required for the FP. Furthermore, we also construct the IC-based additive Schwarz type FP, which can achieve the further reduction of computation time and memory usage. Numerical results verify the effectiveness of the proposed methods.
Keywords
computational electromagnetics; electromagnetic field theory; matrix algebra; trees (mathematics); vectors; IC-based additive Schwarz type FP; auxiliary matrices; computation time; folded IC preconditioning; gauge condition; matrix-vector multiplication; memory usage; quasistatic field analysis; tree-cotree condition; Acceleration; Additives; Convergence; Integrated circuits; Linear systems; Magnetostatics; Sparse matrices; Additive Schwarz type preconditioning; ICCG method; folded preconditioning; tree-cotree gauge condition;
fLanguage
English
Journal_Title
Magnetics, IEEE Transactions on
Publisher
ieee
ISSN
0018-9464
Type
jour
DOI
10.1109/TMAG.2010.2082509
Filename
5754776
Link To Document