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Journal Article

Young measure approximation in micromagnetics

Kružík Martin, Prohl A.

: Numerische Mathematik vol.90, 2 (2001), p. 291-307

: AV0Z1075907

: IAA1075707, GA AV ČR

: active set strategy, adaptive scheme, Young measures

(eng): 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 problem.

: 12A, 12C

: BA