Preconditioned iterative solvers for complex and unsymmetric systems of equations resulting from the hybrid FE-BE method

Author

Hen, Jinxing ; Hybler, Thomas ; Kost, Arnulf

Author_Institution

ABB Corp. Res., Heidelberg, Germany

Volume

33

Issue

2

fYear

1997

fDate

3/1/1997 12:00:00 AM

Firstpage

1764

Lastpage

1767

Abstract

A complex and unsymmetric system of equations has to be solved when the hybrid finite element/boundary element (FE-BE) method is applied to harmonic eddy currents. In this paper the performance of preconditioned iterative solvers for complex and unsymmetric systems of equations are numerically investigated. It is significant to adopt an incomplete LU decomposition preconditioner of a higher fill-in level to accelerate the convergence rate. For nonlinear problems it is suggested to use a symbolic decomposition in preconditioning for a further performance improvement

Keywords

boundary-elements methods; convergence of numerical methods; eddy currents; finite element analysis; iterative methods; complex systems of equations; convergence rate; fill-in level; harmonic eddy currents; hybrid FE-BE method; hybrid finite element/boundary element method; incomplete LU decomposition preconditioner; nonlinear problems; performance; preconditioned iterative solvers; symbolic decomposition; unsymmetric systems of equations; Acceleration; Character generation; Convergence; Eddy currents; Hydrogen; Iterative algorithms; Iterative methods; Nonlinear equations; Partial differential equations; Symmetric matrices;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.582615

Filename

582615