The hysteretic event in the computation of magnetization
type: Item
instance of: scholarly article
title: The hysteretic event in the computation of magnetization
zbMATH Open document ID: 0873.65114
DOI: 10.1007/BF02677975
author: David Kinderlehrer
author: Ling Ma
published in: Journal of Nonlinear Science
publication date: 1997-10-30T00:00:00Z
review text: The authors consider the general problem of hysteresis in magnetic and magnetostrictive problems for a two-dimensional rectangular system. They discuss the Stoner-Wohlfarth theory, estimate the critical field and the width of the hysteresis loop, and evaluate the shadow energy. There is also a discussion of the jump conditions which arise in the solution of Poisson's equation. Calculations are carried out by both a Newton method and a conjugate gradient method and it turns out that the energy system results are mesh-independent, implying that a fairly coarse grid is sufficient to indicate the general behaviour.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 78A30
Mathematics Subject Classification ID: 65C20
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35Q60
zbMATH DE Number: 1016991
zbMATH Keywords: hysteresis
zbMATH Keywords: Stoner-Wohlfarth theory
zbMATH Keywords: critical field
zbMATH Keywords: shadow energy
zbMATH Keywords: Poisson equation
zbMATH Keywords: Newton method
zbMATH Keywords: conjugate gradient method
reviewed by: Ll. G. Chambers
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02677975
OpenAlex ID: W1989717872
description: scientific article; zbMATH DE number 1016991