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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 2, Pages 217–234
DOI: https://doi.org/10.1134/S0044466919020029 (Mi zvmmf10830) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Optimization method for axisymmetric problems of electric cloaking of material bodies

G. V. Alekseev, D. A. Tereshko

Institute of Applied Mathematics, Far East Branch, Russian Academy of Sciences, Vladivostok, 690041 Russia
Citations (15)
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DOI: https://doi.org/10.1134/S0044466919020029
Abstract: Inverse problems of designing spherical shells intended for cloaking material bodies in a stationary electric field are studied. By applying an optimization method, these problems are reduced to optimization ones in which the role of controls is played by components of the diagonal electrical conductivity tensor of the shell’s anisotropic material. The solvability of the direct and optimization problems is proved. A numerical algorithm based on particle swarm optimization is proposed for solving optimization problems, and numerical results are discussed.
Key words: inverse problems, optimization method, particle swarm optimization, electrical conductivity, anisotropic medium, electric cloaking.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00365
Russian Science Foundation 14-11-00079
This work was supported by the Russian Foundation for Basic Research (project no. 16-01-00365-a) and by the Russian Science Foundation (project no. 14-11-00079).
Received: 25.04.2018
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 2, Pages 207–223
DOI: https://doi.org/10.1134/S0965542519020027
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: G. V. Alekseev, D. A. Tereshko, “Optimization method for axisymmetric problems of electric cloaking of material bodies”, Zh. Vychisl. Mat. Mat. Fiz., 59:2 (2019), 217–234; Comput. Math. Math. Phys., 59:2 (2019), 207–223
Citation in format AMSBIB
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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