Maximum principle based algorithm for hysteresis in micromagnetics

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SYSNO ASEP	0411240
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Ostatní články
Title	Maximum principle based algorithm for hysteresis in micromagnetics
Author(s)	Kružík, Martin (UTIA-B)_{RID, ORCID}
Source Title	Advances in Mathematical Sciences and Applications - ISSN 1343-4373 Roč. 13, č. 2 (2003), s. 461-485
Number of pages	25 s.
Language	eng - English
Country	JP - Japan
Keywords	calculus of variations ; convexification ; ferromagnetism
Subject RIV	BA - General Mathematics
R&D Projects	IAA1075005 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
CEZ	AV0Z1075907 - UTIA-B
Annotation	Recently, a new mesoscopical model describing evolution of the magnetization in ferromagnets has been proposed. Here a corresponding time-discrete relaxed variational problem is studied. First, necessary and sufficient optimality conditions are derived and the uniqueness of a time-discrete solution is shown. Then the optimality conditions are used in an efficient numerical algorithm for a simulation of magnetic hysteresis in single crystals and polycrystals.
Workplace	Institute of Information Theory and Automation
Contact	Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201.

Number of the records: 1