Far Eastern Mathematical Journal

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Economical method for solving two-dimensional problems of electrostatic cloaking


Alekseev G.V., Lobanov A.V., Silchenko V.I.

2020, issue 2, Ñ. 127-134
DOI: https://doi.org/10.47910/FEMJ202013


Abstract
An economical numerical algorithm for solving a two-dimensional problem of electrostatic cloaking is proposed and implemented. The algorithm is based on the use of an $M$-layer shell, each layer of which is filled with one of two specified materials, while the material of the last layer is determined by minimizing a special quality functional associated with the cloaking efficiency of the desired shell.

Keywords:
inverse problems, electrostatic cloaking, optimization method, particle swarm optimization method, alternating design scheme

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