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

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• 作者：Fran&#231 ; ois Alouges^a ; ^{francois.alouges@polytechnique.edu} ; Evaggelos Kritsikis^b ; ^c ; Jean-Christophe Toussaint^b ; ^c
• 关键词：Micromagnetism ; Finite elements ; Landau&ndash ; Lifschitz&ndash ; Gilbert equations
• 刊名：Physica B
• 出版年：2012
• 期刊代码：53_09214526
• 类别：ph
• 出版时间：1 May, 2012
• 卷：407
• 期：9
• 页码：1345-1349
• 文件大小：590 K

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.