About the gauge conditions arising in Finite Element magnetostatic problems

被引：11

作者：

Creuse, Emmanuel ^{[1
,2
]}

Dular, Patrick ^{[3
]}

Nicaise, Serge ^{[4
]}

机构：

[1] Univ Lille 1, Lab Math Paul Painleve UMR 8524, F-59655 Villeneuve Dascq, France

[2] INRIA Lille Nord Europe, EPI RAPSODI, Parc Sci Haute Borne 40,Ave Halley,Bat A,Pk Plaza, F-59650 Villeneuve Dascq, France

[3] Univ Liege, Unit Appl & Computat Electromagnet, Liege, Belgium

[4] Univ Valenciennes, Lab Math & Leurs Applicat Valenciennes, LAMAV, EA 4015,FR CNRS 2956, F-59313 Valenciennes, France

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2019年 / 77卷 / 06期

关键词：

Maxwell equations; Potential formulations; Gauge conditions; Finite element method; VECTOR POTENTIALS; EDGE ELEMENTS; EQUATIONS; FORMULATIONS; CONVERGENCE; BOUNDARY; DOMAINS; TRACES;

D O I：

10.1016/j.camwa.2018.06.030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：1563 / 1582

页数：20

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