00-2   Berichtsreihe des Mathematischen Seminars der Universität Kiel

Martin Kruzik, Andreas Prohl:

Young measure approximation in micromagnetics

Modeling of micromagnetic phenomena typically faces the minimization of a non-convex problem, which gives rise to highly oscillatory magnetization structures. Mathematically, this necessitates to extend the notion of Lebesgue-type solutions to Young-measure valued solutions. The present work proposes and analyzes a conforming finite element method that is based on an active set strategy to efficiently compute discrete solutions of the generalized minimization problem. Computational experiments are given to show the efficiency of the scheme. Beschreibung

Mathematics Subject Classification (1991): 49K20, 65K10, 65N30, 65N15, 65N30, 65N50

Keywords: Active set strategy, adaptive scheme, micromagnetics, optimality conditions, relaxation, Young measures

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[Thu Feb 19 18:56:35 2009]
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