Acceleration of convergence characteristic of the ICCG method

Author

Fujiwara, K. ; Nakata, T. ; Fusayasu, H.

Author_Institution

Dept. of Electr. Eng., Okayama Univ., Japan

Volume

29

Issue

2

fYear

1993

fDate

3/1/1993 12:00:00 AM

Firstpage

1958

Lastpage

1961

Abstract

The effectiveness of renumbering for the incomplete Cholesky conjugate gradient (ICCG) solver, which is usually applied to direct solvers, is examined quantitatively by analyzing 3D standard benchmark models. On an acceleration factor which is introduced to obtain convergence quickly, indices for determining the optimum value of the acceleration factor, which minimizes the number of iterations, are discussed. It is found that the renumbering is effective to use with the ICCG solver, and the solver using the acceleration factor gives a good convergence characteristic even in the case when the conventional solver fails to provide convergent solutions

Keywords

convergence of numerical methods; electromagnetic fields; finite element analysis; iterative methods; 3D standard benchmark models; ICCG method; acceleration factor; convergence characteristic; convergent solutions; incomplete Cholesky conjugate gradient; iterations; Acceleration; Convergence; Electrical equipment industry; Electromagnetic analysis; Electromagnetic fields; Finite element methods; Information analysis; Laboratories; Matrix decomposition; Symmetric matrices;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.250792

Filename

250792