Evaluation Index of Acceleration Factor and Ordering in Shifted ICCG Method for Electromagnetic Field Analyses

Author

Iwashita, Takeshi ; Mifune, Takeshi ; Shimasaki, Masaaki

Author_Institution

Kyoto Univ.

Volume

43

Issue

4

fYear

2007

fDate

4/1/2007 12:00:00 AM

Firstpage

1493

Lastpage

1496

Abstract

This paper introduces a simple way to evaluate the preconditioning effect in the shifted ICCG method. The proposed evaluation index is easily calculated with little additional memory in an incomplete factorization process; thus, it can be used for setting appropriate parameters for the solver, such as an acceleration factor and the ordering of unknowns, prior to the time-consuming iteration process. Numerical results show that the evaluation index gives the good estimate of the number of iterations necessary for convergence

Keywords

electromagnetic fields; iterative methods; Choleskey conjugate gradient method; acceleration factor; electromagnetic field analysis; evaluation index; incomplete factorization process; iteration process; predictioning effect; Acceleration; Convergence of numerical methods; Eigenvalues and eigenfunctions; Electromagnetic analysis; Electromagnetic fields; Equations; Helium; Iterative methods; Linear systems; Symmetric matrices; Convergence estimation; evaluation index; finite-edge element analysis; ordering; shifted ICCG method;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2007.892472

Filename

4137747