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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2019, Volume 16, Pages 812–825
DOI: https://doi.org/10.33048/semi.2019.16.054 (Mi semr1096) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Real, complex and functional analysis

Optimization method in 2D magnetic cloaking problems

Yu. E. Spivakab

a Institute of Applied Mathematics FEB RAS, 7, Radio str., Vladivostok, 690041, Russia
b Far Eastern Federal University, 8, Sukhanova str., Vladivostok, 690090, Russia
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DOI: https://doi.org/10.33048/semi.2019.16.054
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.
Funding agency Grant number
Far Eastern Branch of the Russian Academy of Sciences 18-5-064
Received February 11, 2018, published June 11, 2019
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: 35Q93+65N21+78A46
Language: Russian
Citation: Yu. E. Spivak, “Optimization method in 2D magnetic cloaking problems”, Sib. Èlektron. Mat. Izv., 16 (2019), 812–825
Citation in format AMSBIB
\Bibitem{Spi19}
\by Yu.~E.~Spivak
\paper Optimization method in 2D magnetic cloaking problems
\jour Sib. \`Elektron. Mat. Izv.
\yr 2019
\vol 16
\pages 812--825
\mathnet{http://mi.mathnet.ru/semr1096}
\crossref{https://doi.org/10.33048/semi.2019.16.054}
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    • This publication is cited in the following 6 articles:
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