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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2016, Volume 295, Pages 184–194
DOI: https://doi.org/10.1134/S0371968516040105 (Mi tm3756) 		 
This article is cited in 6 scientific papers (total in 6 papers)

A local perturbation method for the approximate calculation of the acoustic wave diffraction with impedance interface conditions

D. Yu. Knyaz'kov, A. V. Romanova, A. S. Shamaev

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
Full-text PDF (213 kB) Citations (6)
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DOI: https://doi.org/10.1134/S0371968516040105
Abstract: The problem of incidence of an acoustic wave on the interface between media with impedance interface conditions is considered. An approximate method is proposed for calculating the result of diffraction under such conditions. The method is implemented as a computer program, and the result is compared with the analytical solution for the impedance conditions and with the calculations by a program for the contact boundary conditions. Good accuracy of the method and high computation speed are demonstrated, which allow one to apply the proposed approximate method to solving both direct and inverse problems of acoustics.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work is supported by the Russian Science Foundation under grant 14-50-00005.
Received: June 22, 2016
English version:
Proceedings of the Steklov Institute of Mathematics, 2016, Volume 295, Pages 168–178
DOI: https://doi.org/10.1134/S0081543816080101
Bibliographic databases:
Document Type: Article
UDC: 519.632.4+534.26
Language: Russian
Citation: D. Yu. Knyaz'kov, A. V. Romanova, A. S. Shamaev, “A local perturbation method for the approximate calculation of the acoustic wave diffraction with impedance interface conditions”, Modern problems of mechanics, Collected papers, Trudy Mat. Inst. Steklova, 295, MAIK Nauka/Interperiodica, Moscow, 2016, 184–194; Proc. Steklov Inst. Math., 295 (2016), 168–178
Citation in format AMSBIB
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\paper A local perturbation method for the approximate calculation of the acoustic wave diffraction with impedance interface conditions
\inbook Modern problems of mechanics
\bookinfo Collected papers
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\vol 295
\pages 184--194
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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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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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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