A convergent finite element approximation for Landau-Lifschitz-Gilbert equation

被引：39

作者：

Alouges, Francois ^{[1
]}

Kritsikis, Evaggelos ^{[2
,3
]}

Toussaint, Jean-Christophe ^{[2
,3
]}

机构：

[1] Ecole Polytech, CMAP, F-91128 Palaiseau, France

[2] Inst Neel, F-38042 Grenoble 9, France

[3] Grenoble INP, F-38031 Grenoble 1, France

来源：

PHYSICA B-CONDENSED MATTER | 2012年 / 407卷 / 09期

关键词：

Micromagnetism; Finite elements; Landau-Lifschitz-Gilbert equations; LIFSHITZ EQUATIONS;

D O I：

10.1016/j.physb.2011.11.031

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

This paper describes a finite element formulation for Landau-Lifschitz-Gilbert equation (LLGE) that is proved to converge as the time and space steps tend to 0 toward a weak solution of LLGE. An order two (in time) scheme is also given and numerical results are presented showing the applicability of the method. (c) 2011 Elsevier B.V. All rights reserved.

引用

页码：1345 / 1349

页数：5

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