Summary.
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 compute efficiently discrete solutions of the generalized minimization problem. Computational experiments are given to show the efficiency of the scheme.
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Received January 20, 2000 / Published online May 30, 2001
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Kružík, M., Prohl, A. Young measure approximation in micromagnetics. Numer. Math. 90, 291–307 (2001). https://doi.org/10.1007/s002110100286
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DOI: https://doi.org/10.1007/s002110100286