About the gauge conditions arising in Finite Element magnetostatic problems

Creusé, Emmanuel; Dular, Patrick; Nicaise, Serge

Document type :

Compte-rendu et recension critique d'ouvrage

DOI :

10.1016/j.camwa.2018.06.030

Title :

About the gauge conditions arising in Finite Element magnetostatic problems

Author(s) :

Creusé, Emmanuel [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Reliable numerical approximations of dissipative systems [RAPSODI]
Dular, Patrick [Auteur]
Applied and Computational Electromagnetics [Liège] [ACE]
Nicaise, Serge [Auteur]
Laboratoire de Mathématiques et leurs Applications de Valenciennes - EA 4015 [LAMAV]

Journal title :

Computers & Mathematics with Applications

Pages :

1563-1582

Publisher :

Elsevier

Publication date :

2019-03-15

ISSN :

0898-1221

English keyword(s) :

Maxwell equations
potential formulations
gauge conditions
finite element method

HAL domain(s) :

Mathématiques [math]/Analyse numérique [math.NA]

English 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, ...
Show more >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.Show less >

Language :

Anglais

Popular science :

Non

ANR Project :

Centre Européen pour les Mathématiques, la Physique et leurs Interactions

Collections :