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Article Dans Une Revue Computers & Mathematics with Applications Année : 2019

About the gauge conditions arising in Finite Element magnetostatic problems

Résumé

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.
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hal-01955649 , version 1 (14-12-2018)

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Emmanuel Creusé, Patrick Dular, Serge Nicaise. About the gauge conditions arising in Finite Element magnetostatic problems. Computers & Mathematics with Applications, 2019, 77 (6), pp.1563-1582. ⟨10.1016/j.camwa.2018.06.030⟩. ⟨hal-01955649⟩
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