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Tr. Mat. Inst. Steklova, 2016, Volume 295, Pages 184–194 (Mi tm3756)  

This article is cited in 3 scientific papers (total in 3 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

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.


DOI: https://doi.org/10.1134/S0371968516040105

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English version:
Proceedings of the Steklov Institute of Mathematics, 2016, 295, 168–178

Bibliographic databases:

Document Type: Article
UDC: 519.632.4+534.26
Received: June 22, 2016

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, Tr. 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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\pages 184--194
\publ MAIK Nauka/Interperiodica
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  • http://mi.mathnet.ru/eng/tm/v295/p184

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. D. Knyazkov, “Web-interface for HPC computation of a plane wave diffraction on a periodic layer”, Lobachevskii J. Math., 38:5, SI (2017), 936–939  crossref  mathscinet  zmath  isi  scopus
    2. Knyazkov D., “Simulating Diffraction of Plane Wave on Periodic Layer With the Use of the Method of Projections”, Proceedings of the International Conference Days on Diffraction (Dd) 2017, eds. Motygin O., Kiselev A., Goray L., Suslina T., Kazakov A., Kirpichnikova A., IEEE, 2017, 180–185  isi
    3. Knyazkov D., “Diffraction of Plane Wave At 3-Dimensional Periodic Layer”, AIP Conference Proceedings, 1978, Amer Inst Physics, 2018, UNSP 470075-1  crossref  isi  scopus
  • Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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