Eur. Phys. J. Appl. Phys. (2013) 64: 24516
https://doi.org/10.1051/epjap/2013120444

Subproblem approach for modeling multiply connected thin regions with an h-conformal magnetodynamic finite element formulation^*

¹ University of Liège, Department of Electrical Engineering and Computer Science, ACE, 4000 Liege, Belgium
² Fonds de la Recherche Scientifique - F.R.S.-FNRS, 1000 Brussels, Belgium
³ University of Lyon, Ampere (CNRS UMR5005), École Centrale de Lyon, 69134 Écully Cedex, France

^a e-mail: quocvuong.dang@ulg.ac.be

Received: 3 October 2012
Revised: 6 May 2013
Accepted: 9 July 2013
Published online: 8 November 2013

Abstract

A subproblem h-conformal eddy current finite element method is proposed for correcting the inaccuracies inherent to thin shell models. Such models replace volume thin regions by surfaces but neglect border effects in the vicinity of their edges and corners. The developed surface-to-volume correction problem is defined as a step of the multiple subproblems that can split a complete problem, consisting of inductors and magnetic or conducting regions, some of these being thin regions. The general case of multiply connected thin regions is considered.