Coupling of finite element and integral representation methods in magnetostatics

Stéphane Balac
Institut Camille Jordan
INSA de Lyon
69621 Villeurbanne, France
Stephane.Balac@insa-lyon.fr

Gabriel Caloz
IRMAR, Université de Rennes 1
Campus de Beaulieu
35042 Rennes Cedex, France
Gabriel.Caloz@univ-rennes1.fr

Abstract

We present an original method to compute the magnetic field generated by some electromagnetic device through the coupling of an integral representation formula and a finite element method.
The unbounded three dimensional magnetostatic problem is formulated in terms of the reduced scalar potential.
Through an integral representation formula, an equivalent problem is set in a bounded domain and discretized using a standard finite element method.
A complete error analysis of the method is achieved and presented in the paper.

Keywords

Finite element method, integral formulation, artificial boundary, magnetostatics, reduced scalar potential