Maximum principle based algorithm for hysteresis in micromagnetics

0411240 - UTIA-B 20030227 RIV JP eng J - Článek v odborném periodiku
Kružík, Martin
Maximum principle based algorithm for hysteresis in micromagnetics.
Advances in Mathematical Sciences and Applications. Roč. 13, č. 2 (2003), s. 461-485. ISSN 1343-4373
Grant CEP: GA AV ČR IAA1075005
Výzkumný záměr: CEZ:AV0Z1075907
Klíčová slova: calculus of variations * convexification * ferromagnetism
Kód oboru RIV: BA - Obecná matematika

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.
Trvalý link: http://hdl.handle.net/11104/0131326