Analysis of convergence in nonlinear magnetostatic finite elements problems

Author

Neagoe, C. ; Ossart, F.

Author_Institution

Lab. d´´Electrotech., CNRS, Grenoble, France

Volume

30

Issue

5

fYear

1994

fDate

9/1/1994 12:00:00 AM

Firstpage

2865

Lastpage

2868

Abstract

Deals with convergence difficulties using Newton-Raphson method in nonlinear magnetostatic problems. It is shown use of magnetostatic scalar potential can lead to a very unstable iterative process because of the shape of the residual function which is to be cancelled. Such effects do not exist when the vector potential is used and Newton-Raphson method is much more efficient. A simple example points out the behavior of Newton-Raphson method for both formulations. A method for reducing the CPU time required for determining the relaxation factor used to insure convergence in the case of scalar potential is also presented

Keywords

convergence of numerical methods; finite element analysis; iterative methods; magnetostatics; numerical analysis; Newton-Raphson method; convergence; finite elements problems; magnetostatic scalar potential; nonlinear magnetostatics; relaxation factor; residual function; unstable iterative process; Convergence; Equations; Finite element methods; Jacobian matrices; Lead; Magnetic analysis; Magnetostatics; Newton method; Shape; Vectors;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.312534

Filename

312534