On convergence of ICCG applied to finite-element equation for quasi-static fields

Author

Igarashi, H. ; Honma, T.

Author_Institution

Graduate Sch. of Eng., Hokkaido Univ., Kita, Japan

Volume

38

Issue

2

fYear

2002

fDate

3/1/2002 12:00:00 AM

Firstpage

565

Lastpage

568

Abstract

This paper discusses convergence of the incomplete Cholesky conjugate gradient method (ICCG) which solves edge-based finite-element equations for quasi-static electromagnetic fields. It has been observed in numerical computations that convergence of ICCG for the A-V method is faster than that for the A method. This phenomenon is found to be explained by the fact that, in the A-V method, the preconditioning eliminates the small singular values which deteriorate the condition number while they remain after the preconditioning in the case of the A method

Keywords

conjugate gradient methods; convergence of numerical methods; eddy currents; electromagnetic field theory; finite element analysis; A method; A-V method; convergence; eddy current; edge element; finite element analysis; incomplete Cholesky conjugate gradient method; numerical computation; preconditioning technique; quasi-static electromagnetic field; singular value; AC generators; Character generation; Conductivity; Convergence of numerical methods; Electromagnetic fields; Equations; Finite element methods; Frequency; Gradient methods; Magnetic analysis;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.996148

Filename

996148