Optimization method in 2D magnetic cloaking problems

Yu. E. Spivak

Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 812-825.

Résumé

We consider the optimization problem for the 2D model of magnetic scattering by a permeable obstacle having the form of a circular ring. Problems of this type arise while developing the design technologies of magnetic cloaking devices using the optimization method. The solvability of direct and control problems for the magnetic scattering model under study is proved. The sufficient conditions which provide local uniqueness and stability of optimal solutions are established.

Détail

Keywords: magnetic scattering problem, invisibility, cloaking, optimization problem, solvability, uniqueness, stability estimates.

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