Adaptive techniques for Landau–Lifshitz–Gilbert equation with magnetostriction

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• 作者：L’ ; ubomí ; r Baň ; as
• 关键词：Micromagnetism ; Maxwell's equations ; Magnetostriction ; Numerical methods ; Space– ; time a posteriori error estimates
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2008
• 期刊代码：72_03770427
• 类别：cp
• 出版时间：1 June 2008
• 卷：215
• 期：2
• 页码：304-310
• 文件大小：151 K

摘要

In this paper we propose a time–space adaptive method for micromagnetic problems with magnetostriction. The considered model consists of coupled Maxwell's, Landau–Lifshitz–Gilbert (LLG) and elastodynamic equations. The time discretization of Maxwell's equations and the elastodynamic equation is done by backward Euler method, the space discretization is based on Whitney edge elements and linear finite elements, respectively. The fully discrete LLG equation reduces to an ordinary differential equation, which is solved by an explicit method, that conserves the norm of the magnetization.