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Sibirskii Zhurnal Industrial'noi Matematiki, 2020, Volume 23, Number 4, Pages 5–17
DOI: https://doi.org/10.33048/SIBJIM.2020.23.401 (Mi sjim1105) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Optimization analysis of electrostatic cloaking problems

G. V. Alekseevab, A. V. Lobanovba

a Far-Eastern Federal University, ul. Sukhanova 8, Vladivostok 690091, Russia
b Institute of Applied Mathematics FEB RAS, ul. Radio 7, Vladivostok 690041, Russia
Full-text PDF (619 kB) Citations (4)
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DOI: https://doi.org/10.33048/SIBJIM.2020.23.401
Abstract: Under consideration are the inverse problems of electrostatics that arise in designing two-dimensional multilayer shielding and cloaking devices. Using optimization, we reduce these inverse problems to the finite-dimensional extremal problems in which the roles of control parameters are played by the constant dielectric permittivities of the layers. Basing on particle swarm optimization, we develop some numerical algorithm for solving these problems. We also show that the devices designed by the algorithm have the highest cloaking efficiency and simplicity of technical implementation.
Keywords: inverse problem, electrostatic cloaking, particle swarm optimization. .
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-01095-20-00
075-02-2020-1482-1
The authors were supported by the State Task to the Institute of Applied Mathematics of the Far-Eastern Branch of the Russian Academy of Sciences (project no. 075-01095-20-00) and the Ministry of Education and Science of the Russian Federation (Additional Agreement no. 075-02-2020-1482-1 on April 21, 2020).
Received: 08.07.2020
Revised: 31.07.2020
Accepted: 10.09.2020
English version:
Journal of Applied and Industrial Mathematics, 2020, Volume 14, Issue 4, Pages 599–609
DOI: https://doi.org/10.1134/S1990478920040018
Bibliographic databases:
Document Type: Article
UDC: 517.95:519.63
Language: Russian
Citation: G. V. Alekseev, A. V. Lobanov, “Optimization analysis of electrostatic cloaking problems”, Sib. Zh. Ind. Mat., 23:4 (2020), 5–17; J. Appl. Industr. Math., 14:4 (2020), 599–609
Citation in format AMSBIB
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\by G.~V.~Alekseev, A.~V.~Lobanov
\paper Optimization analysis of electrostatic cloaking problems
\jour Sib. Zh. Ind. Mat.
\yr 2020
\vol 23
\issue 4
\pages 5--17
\mathnet{http://mi.mathnet.ru/sjim1105}
\crossref{https://doi.org/10.33048/SIBJIM.2020.23.401}
\elib{https://elibrary.ru/item.asp?id=44984652}
\transl
\jour J. Appl. Industr. Math.
\yr 2020
\vol 14
\issue 4
\pages 599--609
\crossref{https://doi.org/10.1134/S1990478920040018}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85099883721}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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