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Bol. Soc. Esp. Mat. Apl. no 0 (0000), 133

Summary: Bol. Soc. Esp. Mat. Apl. no
0 (0000), 1­33
Numerical Micromagnetics: A Review
Carlos J. GarcŽia-Cervera
Mathematics Department, University of California, Santa Barbara,
CA 93106, USA
Version of 20 de junio de 2007
Numerical simulation has become an important tool in the study of
both static and dynamic issues in ferromagnetic materials. We present a
review of some of the recent advances in numerical Micromagnetics.
Palabras clave : Micromagnetics, Landau-Lifshitz equation.
ClasificaciŽon por materias AMS : 65M06; 65Z05; 35Q60.
1. Introduction
A ferromagnetic material is one that possesses spontaneous magnetization.
The magnetization in ferromagnetic materials can exhibit intricate domain
structures, characterized by areas where the magnetization varies slowly,
separated by sharp transition layers, where the orientation of the magnetization
changes on a much shorter lengthscale [1, 2]. A first attempt to explain these


Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara


Collections: Mathematics