On the control of an evolutionary equilibrium in micromagnetics

Michal Kočvara (), Martin Kružík () and Jiří V. Outrata ()
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Michal Kočvara: Academy of Sciences of the Czech Republic
Martin Kružík: Academy of Sciences of the Czech Republic
Jiří V. Outrata: Academy of Sciences of the Czech Republic

A chapter in Optimization with Multivalued Mappings, 2006, pp 143-168 from Springer

Abstract: Summary Optimal control of magnetization in a ferromagnet is formulated as a mathematical program with evolutionary equilibrium constraints. To this purpose, we construct an evolutionary infinite-dimensional model which is discretized both in the space as well as in time variables. The evolutionary nature of this equilibrium is due to the hysteresis behavior of the respective magnetization process. To solve the problem numerically, we adapted the implicit programming technique. The adjoint equations, needed to compute subgradients of the composite objective, are derived using the generalized differential calculus of B. Mordukhovich. We solve two test examples and discuss numerical results.

Keywords: coderivatives; ferromagnetism; hysteresis; implicit programming technique; mathematical programs with equilibrium constraints (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-0-387-34221-4_8

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DOI: 10.1007/0-387-34221-4_8

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