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.

引用

页码：299 / 316

页数：18

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