Determination of precession and dissipation parameters in micromagnetism
type: Item
instance of: scholarly article
title: Determination of precession and dissipation parameters in micromagnetism
zbMATH Open document ID: 1206.78007
published in: Journal of Computational and Applied Mathematics
publication date: 2010-07-20T00:00:00Z
review text: The paper deals with the problem of reconstruction of the dissipation parameter and the precession parameter of a ferromagnetic material, whose magnetization around of the effective field is governed by the Landau-Lifshitz equation. The parameters are assumed to be space-varying functions. The measurements for the inverse problem are the magnetization over the whole (bounded) domain, over the whole evolution time interval. The approach consists in defining an appropriate cost functional, choosing a method for its minimization, computing the gradients, and discussing the convergence of the minimization algorithm (the steepest descent method is chosen). The algorithm is tested numerically in the cases when one of the parameters is assumed to be known.
Mathematics Subject Classification ID: 78A25
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 78A55
Mathematics Subject Classification ID: 78M50
zbMATH DE Number: 5758088
zbMATH Keywords: micromagnetism
zbMATH Keywords: Landau-Lifshitz equation
zbMATH Keywords: inverse parameter estimation problem
zbMATH Keywords: sensitivity analysis
author: Ivan Cimrák
author: Valdemar Melicher
reviewed by: Dmitry Shepelsky
describes a project that uses: FreeFem++
MaRDI profile type: Publication
full work available at URL: j.cam.2009.08.081
OpenAlex ID: W2006226342
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DOI: 10.1016/J.CAM.2009.08.081
description: scientific article; zbMATH DE number 5758088