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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2017, Volume 57, Number 9, Pages 1477–1493
DOI: https://doi.org/10.7868/S0044466917090034 (Mi zvmmf10612) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Optimization method in problems of acoustic cloaking of material bodies

G. V. Alekseevab, A. V. Lobanova, Yu. E. Spivakb

a Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok, Russia
b Far Eastern Federal University, Vladivostok, Russia
Full-text PDF (291 kB) Citations (6)
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DOI: https://doi.org/10.7868/S0044466917090034
Abstract: Optimization problems for a three-dimensional model of acoustic scattering are formulated and studied. These problems arise in designing tools for cloaking material bodies by applying the wave flow method. The cloaking effect is achieved due to an optimal choice of variable parameters of the inhomogeneous isotropic medium occupying the sought shell. The solvability of direct and optimization problems for the acoustic scattering model is proved, and sufficient conditions ensuring the uniqueness and stability of optimal solutions are established.
Key words: acoustic scattering, transmission problem, solvability, optimization problem, uniqueness, stability.
Funding agency Grant number
Russian Science Foundation 14-11-00079
Russian Foundation for Basic Research 16-01-00365_а
Received: 19.02.2016
Revised: 13.02.2017
English version:
Computational Mathematics and Mathematical Physics, 2017, Volume 57, Issue 9, Pages 1459–1474
DOI: https://doi.org/10.1134/S0965542517090032
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: G. V. Alekseev, A. V. Lobanov, Yu. E. Spivak, “Optimization method in problems of acoustic cloaking of material bodies”, Zh. Vychisl. Mat. Mat. Fiz., 57:9 (2017), 1477–1493; Comput. Math. Math. Phys., 57:9 (2017), 1459–1474
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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