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Journal of Numerical Mathematics

Editor-in-Chief: Hoppe, Ronald H. W. / Kuznetsov, Yuri

Managing Editor: Olshanskii, Maxim

Editorial Board: Benzi, Michele / Brenner, Susanne C. / Carstensen, Carsten / Dryja, M. / Feistauer, Miloslav / Glowinski, R. / Lazarov, Raytcho / Nataf, Frédéric / Neittaanmaki, P. / Bonito, Andrea / Quarteroni, Alfio / Guzman, Johnny / Rannacher, Rolf / Repin, Sergey I. / Shi, Zhong-ci / Tyrtyshnikov, Eugene E. / Zou, Jun / Simoncini, Valeria / Reusken, Arnold


IMPACT FACTOR 2017: 0.951
5-year IMPACT FACTOR: 3.128

CiteScore 2017: 0.96

SCImago Journal Rank (SJR) 2017: 0.494
Source Normalized Impact per Paper (SNIP) 2017: 0.772

Mathematical Citation Quotient (MCQ) 2017: 1.68

Online
ISSN
1569-3953
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Volume 20, Issue 2

Issues

Stabilisation yields strong convergence of macroscopic magnetisation vectors for micromagnetics without exchange energy

C. Carstensen / D. Praetorius
Published Online: 2012-06-28 | DOI: https://doi.org/10.1515/jnum-2012-0004

Abstract

The convexified Landau–Lifshitz minimisation problem in micromagnetics leads to a degenerate variational problem. Therefore strong convergence of finite element approximations cannot be expected in general. This paper introduces a stabilized finite element discretization which allows for surprising the strong convergence of the discrete magnetisation fields with reduced convergence order for a uniaxial model problem. This yields a convergent method for the approximation of the Young measure which characterises the enforced microstructure for the generalized solution of the non-relaxed Landau–Lifshitz problem.

About the article

Published Online: 2012-06-28

Published in Print: 2012-06-01


Citation Information: Journal of Numerical Mathematics, Volume 20, Issue 2, Pages 81–110, ISSN (Online) 1569-3953, ISSN (Print) 1570-2820, DOI: https://doi.org/10.1515/jnum-2012-0004.

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