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Optimization analysis of the thermal cloaking problem for a cylindrical body

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Abstract

The inverse heat transfer problem associated with constructing multilayer material shells cloaking the presence of a cylindrical body in an externally applied temperature field is studied. As the original mathematical model, the steady-state heat equation for an anisotropic shell is used. With the help of the optimization method, this inverse problem is reduced to the corresponding control problem. A numerical algorithm of its solution based on the particle swarm optimization is proposed, and the results of numerical experiments are discussed.

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Authors and Affiliations

  1. Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok, 690041, Russia

    G. V. Alekseev & D. A. Tereshko

  2. Institute of Automatics and Control Processes, Far Eastern Branch, Russian Academy of Sciences, Vladivostok, 690041, Russia

    V. A. Levin

  3. Far Eastern Federal University, Vladivostok, 690600, Russia

    G. V. Alekseev, V. A. Levin & D. A. Tereshko

Authors
  1. G. V. Alekseev
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  2. V. A. Levin
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  3. D. A. Tereshko
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Corresponding author

Correspondence to G. V. Alekseev.

Additional information

Original Russian Text © G.V. Alekseev, V.A. Levin, D.A. Tereshko, 2017, published in Doklady Akademii Nauk, 2017, Vol. 472, No. 4, pp. 398–402.

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Alekseev, G.V., Levin, V.A. & Tereshko, D.A. Optimization analysis of the thermal cloaking problem for a cylindrical body. Dokl. Phys. 62, 71–75 (2017). https://doi.org/10.1134/S102833581702001X

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  • DOI: https://doi.org/10.1134/S102833581702001X

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