A numerical scheme for a Maxwell--Landau--Lifshitz--Gilbert system
type: Item
instance of: scholarly article
title: A numerical scheme for a Maxwell--Landau--Lifshitz--Gilbert system
zbMATH Open document ID: 1099.78020
author: Ľubomír Baňas
author: M. Slodička
published in: Applied Mathematics and Computation
publication date: 2004-11-23T00:00:00Z
review text: The aim of this paper is to present two approximation schemes for the time discretization of the Maxwell--Landau--Lifshitz--Gilbert system. Accordingly, two appropriate algorithms (linear and nonlinear) for the computation of the vector field are developed in the paper. The authors justify that the modulus of magnetization is conserved in both cases. Assuming that the electromagnetic field is smooth enough, the error estimates for both approximation schemes is deduced. The paper ends with a numerical example that illustrates the efficiency of the algorithms.
reviewed by: Teodora-Liliana Rădulescu
Mathematics Subject Classification ID: 78M25
Mathematics Subject Classification ID: 78A25
Mathematics Subject Classification ID: 35Q60
zbMATH DE Number: 2117776
zbMATH Keywords: Maxwell's equations
zbMATH Keywords: dissipative magnetic law
zbMATH Keywords: electromagnetic field
MaRDI profile type: Publication
full work available at URL: j.amc.2003.08.065
OpenAlex ID: W2047244313
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DOI: 10.1016/J.AMC.2003.08.065
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description: scientific article; zbMATH DE number 2117776