Numerical study of nonlinear ferromagnetic materials

被引：26

作者：

Slodicka, M ^{[1
]}

Cimrák, I ^{[1
]}

机构：

[1] Univ Ghent, Fac Engn, Dept Math Anal, B-9000 Ghent, Belgium

来源：

APPLIED NUMERICAL MATHEMATICS | 2003年 / 46卷 / 01期

关键词：

ferromagnetism; Maxwell-Landau-Lifshitz-Gilbert system; quasi-static electromagnetic field;

D O I：

10.1016/S0168-9274(03)00010-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider Maxwell's equations together with a nonlinear dissipative magnetic law described by Landau-Lifshitz-Gilbert equation. We suggest two new numerical schemes (linear and nonlinear) for a time discretization of the nonlinear equations describing a quasi-static electromagnetic field in a ferromagnetic material. Both are designed in such a way that they conserve the quantities natural for the continuous model. Assuming a bounded magnetic field we derive the error estimates for both approximation algorithms. (C) 2003 IMACS. Published by Elsevier Science B.V. All rights reserved.

引用

页码：95 / 111

页数：17

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