GMRES with new preconditioning for solving BEM-type linear system

Author

Saitoh, Ayumu ; Kamitani, Atsushi

Author_Institution

Graduate Sch. of Sci. & Eng., Yamagata Univ., Japan

Volume

40

Issue

2

fYear

2004

fDate

3/1/2004 12:00:00 AM

Firstpage

1084

Lastpage

1087

Abstract

A linear system solver has been proposed by adopting the product-type method as a preconditioner to the generalized minimal residual method (GMRES). When applied to the boundary-element method (BEM)-type linear system arising from the two-dimensional Laplace problem, the solver has a faster speed than the Gaussian elimination. In order to compare the proposed solver with the variable preconditioned conjugate gradient method, the operation count for both methods are estimated. As a result, it is found that the proposed solver is a powerful tool for solving the BEM-type linear system.

Keywords

Gaussian processes; Laplace equations; boundary-elements methods; conjugate gradient methods; electromagnetism; linear systems; GMRES; Gaussian elimination; Laplace problem; boundary-element method; conjugate gradient method; generalized minimal residual method; linear system; preconditioners; product-type method; Character generation; Convergence; Educational technology; Electromagnetic fields; Gaussian processes; Gradient methods; Iterative methods; Large-scale systems; Linear systems; Partial differential equations;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2004.825172

Filename

1284606