Folded IC preconditioning in quasi-static field analysis taking account of both tree-cotree and Ø = 0 gauge conditions

Author

Takahashi, Yasuhito ; Mifune, Takeshi ; Iwashita, Takeshi ; Fujiwara, Koji ; Ishihara, Yoshiyuki

Author_Institution

Doshisha Univ., Kyoto, Japan

fYear

2010

fDate

9-12 May 2010

Firstpage

1

Lastpage

1

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. Numerical results verify the effectiveness of the proposed methods.

Keywords

computational electromagnetics; conjugate gradient methods; electromagnetic field theory; matrix multiplication; φ =0 gauge condition; ICCG method; additive Schwarz type folded preconditioning; auxiliary matrices; electromagnetic field analysis; folded IC preconditioning; incomplete Cholesky conjugate gradient method; matrix-vector multiplication; quasi-static field analysis; tree-cotree gauge condition; Additives; Convergence; Electric potential; Electromagnetic analysis; Electromagnetic fields; Equations; Iterative methods; Linear systems; Magnetostatics; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Electromagnetic Field Computation (CEFC), 2010 14th Biennial IEEE Conference on

Conference_Location

Chicago, IL

Print_ISBN

978-1-4244-7059-4

Type

conf

DOI

10.1109/CEFC.2010.5481185

Filename

5481185