A new finite element scheme for Landau-Lifchitz equations

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June 2008, 1(2): 187-196. doi: 10.3934/dcdss.2008.1.187

A new finite element scheme for Landau-Lifchitz equations

1.	Laboratoire de Mathématiques, Université Paris-Sud 11, 91405 Orsay Cedex, France

Received September 2006 Revised September 2007 Published March 2008

Abstract
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In this paper we describe a new implicit finite element scheme for the discretization of Landau-Lifchitz equations. A proof of convergence of the numerical solution to a (weak) solution of the original equations is given and numerical tests showing the applicability of the method are also provided.

Keywords: Landau-Lifchitz equations, Finite elements, micromagnetism..

Mathematics Subject Classification: 35K55 and 65M6.

Citation: François Alouges. A new finite element scheme for Landau-Lifchitz equations. Discrete & Continuous Dynamical Systems - S, 2008, 1 (2) : 187-196. doi: 10.3934/dcdss.2008.1.187

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