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Journal Article

Maximum principle based algorithm for hysteresis in micromagnetics

Kružík Martin

: Advances in Mathematical Sciences and Applications vol.13, 2 (2003), p. 461-485

: CEZ:AV0Z1075907

: IAA1075005, GA AV ČR

: calculus of variations, convexification, ferromagnetism

(eng): 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.

: 12A

: BA