Strong convergence for large bodies in micromagnetics |
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| Authors: | Carsten Carstensen Dirk Praetorius Wolfgang Boiger |
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| Affiliation: | 1. Humboldt-Universität zu Berlin, Institut für Mathematik, Unter den Linden 6, D-10099 Berlin, Germany;2. Technische Universität Wien, Institut für Analysis und Scientific Computing, Wiedner Hauptstrasse 8-10, A-1040 Wien, Austria |
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| 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 stabilised finite element discretisation which allows for the strong convergence of the discrete magnetisation fields with reduced convergence order for a uniaxial model problem. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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