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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 3, Pages 490–497
DOI: https://doi.org/10.7868/S0044466916030042 (Mi zvmmf10365) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Inverse problem of determining parameters of inhomogeneity of a body from acoustic field measurements

R. O. Evstigneev, M. Yu. Medvedik, Yu. G. Smirnov

Penza State University, ul. Krasnaya 40, Penza, 110026, Russia
Full-text PDF (398 kB) Citations (11)
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DOI: https://doi.org/10.7868/S0044466916030042
Abstract: This work is devoted to development of methods for solving inverse problems in acoustics. Propagation of an acoustic field in a body located in the free space is considered. In the inverse problem, an iterative method for reconstructing the parameters of inhomogeneity of a body from a known acoustic field is applied. The theorem on convergence of the method is proven. Numerical results for inhomogeneous bodies of complex form are presented.
Key words: diffraction problem, inverse problem, acoustic field, iterative method, inhomogeneity of a body.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 2 1102.2014/К
Received: 07.04.2015
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 3, Pages 483–490
DOI: https://doi.org/10.1134/S0965542516030040
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: R. O. Evstigneev, M. Yu. Medvedik, Yu. G. Smirnov, “Inverse problem of determining parameters of inhomogeneity of a body from acoustic field measurements”, Zh. Vychisl. Mat. Mat. Fiz., 56:3 (2016), 490–497; Comput. Math. Math. Phys., 56:3 (2016), 483–490
Citation in format AMSBIB
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    • This publication is cited in the following 11 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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