RUS  ENG
Full version
JOURNALS // Dal'nevostochnyi Matematicheskii Zhurnal // Archive

Dal'nevost. Mat. Zh., 2024 Volume 24, Number 1, Pages 3–8 (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

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.

UDC: 517.95

MSC: Primary 35Q93; Secondary 78A46

Received: 01.08.2023
Accepted: 14.11.2023

DOI: 10.47910/FEMJ202401



© Steklov Math. Inst. of RAS, 2024