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Dal'nevostochnyi Matematicheskii Zhurnal, 2020, Volume 20, Number 2, Pages 127–134
DOI: https://doi.org/10.47910/FEMJ202013 (Mi dvmg426) 		 
Economical method for solving two-dimensional problems of electrostatic cloaking

G. V. Alekseevab, A. V. Lobanovab, V. I. Silchenkob

a Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
b Far Eastern Federal University, Vladivostok
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DOI: https://doi.org/10.47910/FEMJ202013
Abstract: An economical numerical algorithm for solving a two-dimensional problem of electrostatic cloaking is proposed and implemented. The algorithm is based on the use of an $M$-layer shell, each layer of which is filled with one of two specified materials, while the material of the last layer is determined by minimizing a special quality functional associated with the cloaking efficiency of the desired shell.
Key words: inverse problems, electrostatic cloaking, optimization method, particle swarm optimization method, alternating design scheme.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-01095-20-00
075-02-2020-1482-1
Received: 04.08.2020
Document Type: Article
UDC: 517.95, 519.63
MSC: Primary 35Q93; Secondary 78A46, 65N21
Language: Russian
Citation: G. V. Alekseev, A. V. Lobanov, V. I. Silchenko, “Economical method for solving two-dimensional problems of electrostatic cloaking”, Dal'nevost. Mat. Zh., 20:2 (2020), 127–134
Citation in format AMSBIB
\Bibitem{AleLobSil20}
\by G.~V.~Alekseev, A.~V.~Lobanov, V.~I.~Silchenko
\paper Economical method for solving two-dimensional problems of electrostatic cloaking
\jour Dal'nevost. Mat. Zh.
\yr 2020
\vol 20
\issue 2
\pages 127--134
\mathnet{http://mi.mathnet.ru/dvmg426}
\crossref{https://doi.org/10.47910/FEMJ202013}
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