Convergence of a finite element discretization for the Landau-Lifshitz equations in micromagnetism

被引：85
|
作者：
Alouges, F
Jaisson, P
机构：
[1] Univ Orsay, Math Lab, F-91405 Orsay, France
[2] Ecole Normale Super, Ctr Math & Leurs Applicat, F-94235 Cachan, France
[3] Ecole Cent Paris, Lab MAS, F-92295 Chatenay Malabry, France
来源：
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2006年 / 16卷 / 02期
关键词：
Finite elements; micromagnetism; Landau-Lifshitz equations; weak solutions;
D O I：
10.1142/S0218202506001169
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we propose a new space and time finite elements discretization of the Landau-Lifshitz equations which may be readily used for numerical computations. We then prove its convergence to a weak solution in the sense given by Alouges and Soyeur or Labbe in the literature.
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页码：299 / 316
页数：18
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