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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 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

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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