Magnetostatic field computations based on the coupling of finite element and integral representation methods

IEEE Transactions on Magnetics

Stéphane Balac
Laboratoire de Mathématiques Appliquées (MAPLY)
INSA de Lyon
20 Av. Albert Einstein
69621 Villeurbanne, France

Gabriel Caloz
IRMAR, Université de Rennes 1
Campus de Beaulieu
35042 Rennes Cedex, France

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. As a byproduct an integral representation formula is proposed to compute the magnetic field in any point of the space from the reduced scalar potential without numerical differentiation.