This article is cited in 7 papers

Real, complex and functional analysis

Optimization method in 2D magnetic cloaking problems

Yu. E. Spivak<sup>ab

a</sup> Institute of Applied Mathematics FEB RAS, 7, Radio str., Vladivostok, 690041, Russia
^b Far Eastern Federal University, 8, Sukhanova str., Vladivostok, 690090, Russia

Abstract: 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.

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

UDC: 517.95

MSC: 35Q93+65N21+78A46

Received February 11, 2018, published June 11, 2019

DOI: 10.33048/semi.2019.16.054

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