A Strategy to Improve the Convergence of the Fixed-Point Method for Nonlinear Eddy Current Problems

The fixed-point method together with the Fourier decomposition of time dependent quantities can be used to determine the steady state solution of sinusoidally driven electrodynamic problems in the presence of nonlinear materials. The advantage of this method is to obtain the steady state immediately without having to calculate transient processes. However, the convergence rate of the method is heavily influenced by the so called fixed-point permeability. An appropriate choice of this parameter can speed up the convergence whereas an unsuitable value leads the method to divergence. The aim of this paper is to present a strategy to choose the value for the fixed-point permeability in order to enhance the convergence rate. The result is illustrated by two 2-D examples.