Stabilisation yields strong convergence of macroscopic magnetisation vectors for micromagnetics without exchange energy
type: Item
instance of: scholarly article
title: Stabilisation yields strong convergence of macroscopic magnetisation vectors for micromagnetics without exchange energy
zbMATH Open document ID: 1247.78051
author: C. Carstensen
author: Dirk Praetorius
published in: Journal of Numerical Mathematics
publication date: 2012-07-13T00:00:00Z
Mathematics Subject Classification ID: 78M30
Mathematics Subject Classification ID: 78M10
zbMATH DE Number: 6055370
zbMATH Keywords: micromagnetics
zbMATH Keywords: microstructure
zbMATH Keywords: relaxation
zbMATH Keywords: non-convex minimization
zbMATH Keywords: degenerate problem
MaRDI profile type: Publication
full work available at URL: jnum-2012-0004
OpenAlex ID: W2070040995
DOI: 10.1515/JNUM-2012-0004
review text: The paper under review deals with a stabilized finite element discretization in relationship with the strong convergence of discrete magnetization fields with reduced convergence order for a uni-axial model problem. In the first part of the paper, the Euler-Lagrange equations for the relaxed minimization problem are deduced and a priori estimates are established. Next, the authors prove the strong \(L^2\)-convergence for discrete solutions of the stabilized problem. Numerical experiments are presented in the final section.
reviewed by: Teodora-Liliana Rădulescu
description: scientific article; zbMATH DE number 6055370