Error analysis of a numerical scheme for 3D Maxwell-Landau-Lifshitz system

被引：4

作者：

Cimrak, Ivan ^{[1
]}

机构：

[1] Univ Ghent, Dept Math Anal, NfaM2 Res Grp, B-9000 Ghent, Belgium

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2007年 / 30卷 / 14期

关键词：

micromagnetism; Maxwell equations; numerical scheme; ferromagnetism; error analysis;

D O I：

10.1002/mma.863

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We suggest a linear numerical scheme solving strongly non-linear coupled Maxwell-Landau-Lifshitz (Maxwell-LL) system describing ferromagnetic phenomena. Using recent results on the regularity of the solutions to the Maxwell-LL system we are able to prove convergence and to derive the error estimates for this numerical scheme. We provide numerical examples which confirm the theoretical results. Copyright (c) 2007 John Wiley & Sons, Ltd.

引用

页码：1667 / 1683

页数：17

共 9 条

[1] Bossavit A., 1998, COMPUTATIONAL ELECTR
[2] Carbou G., 2001, Diff. Integral Equ, V14, P213
[3] Error estimates for a semi-implicit numerical scheme solving the Landau-Lifshitz equation with an exchange field
Cimrák, I
[J]. IMA JOURNAL OF NUMERICAL ANALYSIS, 2005, 25 (03) : 611 - 634
[4] CIMRAK I, 2007, J COMPUTATIONAL APPL
[5] Existence, regularity and local uniqueness of the solutions to the Maxwell-Landau-Lifshitz system in three dimensions
Cimrak, Ivan
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 329 (02) : 1080 - 1093
[6] Friedman A., 1976, PARTIAL DIFFERENTIAL
[7] THE LANDAU-LIFSHITZ EQUATION OF THE FERROMAGNETIC SPIN CHAIN AND HARMONIC MAPS
GUO, BL
HONG, MC
[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 1993, 1 (03) : 311 - 334
[8] Neumann problem for the Landau-Lifshitz-Maxwell system in two dimensions
Guo, BL
Ding, SJ
[J]. CHINESE ANNALS OF MATHEMATICS SERIES B, 2001, 22 (04) : 529 - 540
[9] Prohl A., 2001, ADV NUMERICAL MATH

← 1 →