Geodesic
The problem of diffraction of acoustic waves on a system of bodyes, screens and antennas
Matematičeskoe modelirovanie, Tome 29 (2017) no. 1, pp. 109-118

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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. 
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     author = {Yu. G. Smirnov and M. Yu. Medvedik and A. A. Tsupak and M. A. Moskaleva},
     title = {The problem of diffraction of acoustic waves on a system of bodyes, screens and antennas},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {109--118},
     publisher = {mathdoc},
     volume = {29},
     number = {1},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2017_29_1_a7/}
}
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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. Matematičeskoe modelirovanie, Tome 29 (2017) no. 1, pp. 109-118. http://geodesic.mathdoc.fr/item/MM_2017_29_1_a7/