Abstract :
[en] In this paper, we deal with some magnetostatic models considered in vector potential formulations and solved by a Finite Element solver. In order to ensure the uniqueness of the solution, a gauge condition has to be imposed, and several possibilities occur. Moreover, the source term has to be correctly defined to ensure a physically admissible solution. We show the equivalence between some of these choices for several kinds of boundary conditions. Moreover, we highlight their characteristic behaviors on some numerical benchmarks to illustrate our theoretical results. © 2018 Elsevier Ltd
Creusé, E.; Laboratoire de Mathématiques Paul Painlevé UMR 8524. Université Lille 1, Cité Scientifique, Villeneuve d'Ascq Cedex, 59655, France, INRIA Lille Nord Europe, EPI RAPSODI. Parc scientifique de la Haute Borne 40, avenue Halley - Bât A - Park Plaza, Villeneuve d'Ascq, 59650, France
Nicaise, S.; Univ. Valenciennes, EA 4015 - LAMAV - Laboratoire de Mathématiques et leurs Applications de Valenciennes, FR CNRS 2956, Valenciennes, F-59313, France
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