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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

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

This article is cited 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

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.

UDC: 519.632.4+534.26

Received: June 22, 2016

DOI: 10.1134/S0371968516040105


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

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