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Matematicheskoe modelirovanie, 2017, Volume 29, Number 1, Pages 109–118 (Mi mm3810)  

The problem of diffraction of acoustic waves on a system of bodyes, screens and antennas

Yu. G. Smirnov, M. Yu. Medvedik, A. A. Tsupak, M. A. Moskaleva

Penza State University
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Abstract: The problem of diffraction of a monochromatic acoustic wave on a system of nonintersecting bodies, screens and antennas is considered. A boundary value problem for the Helmholtz equation is reduced to a system of integral equations on manifolds of different dimensions. We use the Galerkin method with a choice of piecewise constant basis functions to find the approximate solutions of the resulting system. We use subhierarchical approach to solve the problem of diffraction by scatterers irregular shapes. A series of computing experiments is conducted; the calculation results are presented in the graphic form.
Keywords: problem of diffraction, acoustic waves, Helmholtz equation, Galerkin method, subhierarchical approach.
Received: 06.05.2016
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Document Type: Article
Language: Russian
Citation: Yu. G. Smirnov, M. Yu. Medvedik, A. A. Tsupak, M. A. Moskaleva, “The problem of diffraction of acoustic waves on a system of bodyes, screens and antennas”, Matem. Mod., 29:1 (2017), 109–118
Citation in format AMSBIB
\Bibitem{SmiMedTsu17}
\by Yu.~G.~Smirnov, M.~Yu.~Medvedik, A.~A.~Tsupak, M.~A.~Moskaleva
\paper The problem of diffraction of acoustic waves on a system of bodyes, screens and antennas
\jour Matem. Mod.
\yr 2017
\vol 29
\issue 1
\pages 109--118
\mathnet{http://mi.mathnet.ru/mm3810}
\elib{https://elibrary.ru/item.asp?id=28405096}
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