A convergent finite element approximation for Landau-Lifschitz-Gilbert equation
A convergent finite element approximation for Landau-Lifschitz-Gilbert equation
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DOI：
10.1016/j.physb.2011.11.031
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发表时间：
2012-05-01
影响因子：
2.8
通讯作者：
Toussaint, Jean-Christophe
中科院分区：
文献类型：
--
作者：
Alouges, Francois;Kritsikis, Evaggelos;Toussaint, Jean-Christophe
本文给出了Landau-Lifschitz-吉尔伯特方程（LLGE）的一种有限元格式，证明了该格式在时间步长和空间步长趋于0时收敛于LLGE的弱解.一个二阶（在时间上）的计划也给出了数值结果表明该方法的适用性。(c)2011 Elsevier B. V.保留所有权利。
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.