About the gauge conditions arising in Finite Element magnetostatic problems

Finite element method; Gauge conditions; Maxwell equations; Potential formulations; Gages; Magnetostatics; Finite element solver; Magnetostatic problem; Numerical benchmark; Source terms; Vector potential

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

Disciplines :

Electrical & electronics engineering

Author, co-author :

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

Dular, Patrick ; Université de Liège - ULg

Nicaise, S.; Univ. Valenciennes, EA 4015 - LAMAV - Laboratoire de Mathématiques et leurs Applications de Valenciennes, FR CNRS 2956, Valenciennes, F-59313, France

Language :

English

Title :

About the gauge conditions arising in Finite Element magnetostatic problems

Publication date :

2019

Journal title :

Computers and Mathematics with Applications

ISSN :

0898-1221

eISSN :

1873-7668

Publisher :

Elsevier, United Kingdom

Volume :

Issue :

Pages :

1563-1582

Peer reviewed :

Peer Reviewed verified by ORBi

Funders :

ANR - Agence Nationale de la Recherche

Funding number :

ANR-11-LABX-0007-01

Available on ORBi :

since 21 November 2021

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