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Dal'nevostochnyi Matematicheskii Zhurnal, 2024, Volume 24, Number 1, Pages 3–8
DOI: https://doi.org/10.47910/FEMJ202401
(Mi dvmg526)
 

Optimization method of solving cloaking problem for 2D electrical conductivity model

K. E. Bakhtinab, P. A. Savinovb

a Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
b Far Eastern Federal University, Vladivostok
References:
Abstract: he problems of designing multilayer cloaking shells for a 2D model of electrical conductivity are considered. It is assumed that these shells consist of a finite number of annular layers filled with isotropic media. Using the optimization method, the problems under consideration were reduced to extremal problems, their properties are studied. An efficient numerical algorithm based on the particle swarm method (PSO) has developed. The results of the performed computational experiments were discussed.
Key words: electrical conductivity, optimization method, inverse problems, cloaking, multilayer shell, particle swarm method.
Funding agency Grant number
Russian Science Foundation 22-21-00271
The study was supported by the Russian Science Foundation grant No. 22-21-00271.
Received: 01.08.2023
Accepted: 14.11.2023
Document Type: Article
UDC: 517.95
MSC: Primary 35Q93; Secondary 78A46
Language: Russian
Citation: K. E. Bakhtin, P. A. Savinov, “Optimization method of solving cloaking problem for 2D electrical conductivity model”, Dal'nevost. Mat. Zh., 24:1 (2024), 3–8
Citation in format AMSBIB
\Bibitem{BakSav24}
\by K.~E.~Bakhtin, P.~A.~Savinov
\paper Optimization method of solving cloaking problem for 2D electrical conductivity model
\jour Dal'nevost. Mat. Zh.
\yr 2024
\vol 24
\issue 1
\pages 3--8
\mathnet{http://mi.mathnet.ru/dvmg526}
\crossref{https://doi.org/10.47910/FEMJ202401}
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