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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
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
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
Linking options:
https://www.mathnet.ru/eng/mm3810 https://www.mathnet.ru/eng/mm/v29/i1/p109
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Abstract page: | 327 | Full-text PDF : | 109 | References: | 39 | First page: | 11 |
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