A convergent finite element approximation for LandauLifschitzGilbert equation

Alouges F.; Kritsikis E.; Toussaint J.-C.

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A convergent finite element approximation for LandauLifschitzGilbert equation

机译：LandauLifschitzGilbert方程的收敛有限元逼近

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摘要

This paper describes a finite element formulation for LandauLifschitzGilbert 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.

机译：本文描述了LandauLifschitzGilbert方程（LLGE）的有限元公式，该公式被证明会随着时间和空间步长趋于0向LLGE的弱解收敛。还给出了一个二阶（及时）方案，并给出了数值结果，表明了该方法的适用性。

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《Physica, B. Condensed Matter》 |2012年第9期|共5页
作者
Alouges F.; Kritsikis E.; Toussaint J.-C.;
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正文语种 eng
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关键词
Finite elements; LandauLifschitzGilbert equations; Micromagnetism;

机译：有限元;LandauLifschitzGilbert方程;微磁性;

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1. A convergent finite element approximation for LandauLifschitzGilbert equation [J] . Alouges F., Kritsikis E., Toussaint J.-C. Physica, B. Condensed Matter . 2012,第9期

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2. Finite central difference/finite element approximations for parabolic integro-differential equations [J] . Wulan Li, Xu Da Computing Supplementum . 2010,第3a4期

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3. C-0 finite element approximations of linear elliptic equations in non-divergence form and Hamilton-Jacobi-Bellman equations with Cordes coefficients [J] . Wu Shuonan Calcolo . 2021,第1期

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7. A convergent finite element approximation for the quasi-static Maxwell-Landau-Lifshitz-Gilbert equations [O] . Le K-N, Tran T 2013

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A convergent finite element approximation for LandauLifschitzGilbert equation

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