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JOURNALS // Dal'nevostochnyi Matematicheskii Zhurnal // Archive

Dal'nevost. Mat. Zh., 2022 Volume 22, Number 2, Pages 195–200 (Mi dvmg488)

Numerical solution of shielding problem for 3D model of electrostatics in the presence of anisotropic layer

A. V. Lobanov

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

Abstract: An economical numerical algorithm for solving the problem of designing a shielding device for a 3D model of electrostatics is proposed and implemented. The algorithm is based on the use of a multilayered shell. Its first layer is anisotropic, and the remaining layers are filled with one of two predefined isotropic materials according to an alternating design scheme. It is shown that the applying of the developed algorithm enables us to design easy-to-implement shielding shells with high efficiency.

Key words: Inverse problems, shielding problem, optimization method.

UDC: 517.95, 519.63

MSC: Primary 35Q93; Secondary 78A46

Received: 16.06.2022

Language: English

DOI: 10.47910/FEMJ202225



© Steklov Math. Inst. of RAS, 2024