An application of the inexact Newton method to nonlinear magnetostatics

Author

Borghi, Carlo A. ; Breschi, Marco ; Carraro, Mario R. ; Cristofolini, Andrea

Author_Institution

Dept. of Electr. Eng., Univ. of Bologna, Italy

Volume

40

Issue

2

fYear

2004

fDate

3/1/2004 12:00:00 AM

Firstpage

1076

Lastpage

1079

Abstract

Inexact Newton solvers offer many attractive features for the solution of nonlinear problems in the field of electromagnetics. A critical point for the optimal setup of the solver is the choice of the best algorithm for the evaluation of the approximate solution of the linear systems at each Newton step and the most effective preconditioning strategy. In this paper, the Newton iterative solver method is proposed for the solution of a nonlinear magnetostatic problem. The problem is discretized by means of a finite-element approach. The generalized minimum residuals (GMRES) method is adopted as linear solver, and three preconditioners are tested. The performance of this procedure is evaluated for different magnetostatic problems and compared to the results obtained by means of a Newton-Raphson method.

Keywords

Newton method; Newton-Raphson method; electromagnetic fields; finite element analysis; magnetostatics; Newton iterative solver; Newton-Raphson method; electromagnetics; finite-element method; generalized minimum residuals method; inexact Newton methods; nonlinear magnetostatics; nonlinear problems; Finite element methods; Jacobian matrices; Linear systems; Magnetic materials; Magnetostatics; Newton method; Permeability; Robustness; Shape; Vectors;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2004.825178

Filename

1284604