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Maximum principle based algorithm for hysteresis in micromagnetics. (English) Zbl 1093.82020

The article refers to a mesoscopical level rate-independent model for the evolution of magnetization in large ferromagnets. The model describes pure hysteresis losses. For the time-discretized model necessary and sufficient optimality conditions are derived and uniqueness of the solution is discussed. Via spatial discretization one formulates an adaptive algorithm. Computational experiments in 2D are performed.

MSC:

82D40 Statistical mechanics of magnetic materials
49K24 Optimal control problems with differential inclusions (nec./ suff.) (MSC2000)
47J40 Equations with nonlinear hysteresis operators
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