Analyse numerique du champ magnetique d'un alternateur par elements finis et sur-relaxation ponctuelle non lineaire

The purpose of this paper is to study a method of solution of the two-dimensional non-linear partial differential equation describing the magnetic state in the cross-section of an alternator. The method used is based on the combination of finite element technique with various non-linear successive point overrelaxation algorithms. We obtain a method which is very robust and efficient and gives the possibility of solving easily, even on middle-size computers, the previous problem on complicated geometries. Convergence proofs for the finite element approximation and iterative algorithms are given.