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JOURNALS // Dal'nevostochnyi Matematicheskii Zhurnal // Archive

Dal'nevost. Mat. Zh., 2024 Volume 24, Number 2, Pages 220–234 (Mi dvmg546)

This article is cited in 1 paper

Numerical optimization in problems of design multilayer cloaking shells consisting of hyperbolic metamaterials

A. V. Lobanov

Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok

Abstract: The article is devoted to the numerical modeling of optimization problems for a 3D model of electrostatics that arise when designing multilayer shielding or cloaking devices. Various shell design options are considered. Based on the analysis of the computational experiments carried out, important properties of optimal solutions are established and it is shown that the resulting optimal solutions correspond to shielding or cloaking devices that have the highest efficiency in the class of devices under consideration.

Key words: inverse problems, optimization method, electrostatic cloaking, hyperbolic metamaterials, particle swarm optimization method.

UDC: 517.95+519.63

MSC: Primary 35Q93; Secondary 78A46, 65N21

Received: 14.07.2024
Accepted: 18.11.2024

DOI: 10.47910/FEMJ202420



© Steklov Math. Inst. of RAS, 2026