Young measure approximation in micromagnetics

0410750 - UTIA-B 20010219 RIV DE eng J - Journal Article
Kružík, Martin - Prohl, A.
Young measure approximation in micromagnetics.
Numerische Mathematik. Roč. 90, č. 2 (2001), s. 291-307. ISSN 0029-599X. E-ISSN 0945-3245
R&D Projects: GA AV ČR IAA1075707
Institutional research plan: AV0Z1075907
Keywords : active set strategy * adaptive scheme * Young measures
Subject RIV: BA - General Mathematics
Impact factor: 1.145, year: 2001

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.
Permanent Link: http://hdl.handle.net/11104/0130838