J. Phys. III France
Volume 3, Number 5, May 1993
Page(s) 995 - 1004
DOI: 10.1051/jp3:1993177
J. Phys. III France 3 (1993) 995-1004

An h-formulation for the computation of magnetostatic fields. Implementation by combining a finite element method and a boundary element method

B. Bandelier1, 2, C. Daveau2 and F. Rioux-Damidau1

1  Institut d'Electronique Fondamentale, Universités Paris VI et XI, URA CNRS 022, Bât 220, 91405 Orsay, France
2  Laboratoire de Modèles de Physique Mathématique, Université François Rabelais, Parc Grandmont, 37200 Tours, France

(Received 27 November 1993, revised 1 February 1993, accepted 8 February 1993)

A new formulation of magnetostatics is given: it uses the magnetic field h as variable and a penalty technique. For its discretization, a finite element method inside the magnetic materials is combined with a boundary integral method which describes the exterior domain. Numerical tests are presented. The value to be chosen for the penalty parameter and a criterion of validity of the computation are given.

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