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University proceedings. Volga region. Physical and mathematical sciences, 2023, Issue 3, Pages 46–65
DOI: https://doi.org/10.21685/2072-3040-2023-3-4
(Mi ivpnz542)
 

This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Numerical study of electromagnetic wave scattering from a non-homogeneous solid and curvilinear perfectly conducting screen

O. S. Skvortsov, A. A. Tsupak

Penza State University, Penza
References:
Abstract: Background. The purpose of the work is development, software implementation and testing of a projection method and a parallel algorithm for solving the problem of electromagnetic wave diffraction on a system of solids and screens. Material and methods. Galerkin method is implemented for the vector integro-differential equation of the diffraction problem; basis vector functions on a three-dimensional body and a parameterized non-planar screen are determined; parallel algorithm for solving the problem is implemented using the MSMPI library. Results. approximate solutions of the model problem are compared with the previously published results; the inner convergence of the Galerkin method is investigated; dependence of the solution in the area of inhomogeneity on a perfectly conducting screen is investigated. Conclusions. The proposed method of approximation on a curvilinear screen is an effective method that significantly expands the class of diffraction problems solved by integral equations method; numerical tests confirmed high efficiency of the parallel algorithm.
Keywords: electromagnetic wave diffraction, inhomogeneous solid, curvilinear screen, system of integro-differential equations, basis functions, Galerkin method, parallel algorithm.
Document Type: Article
UDC: 517.968.78
Language: Russian
Citation: O. S. Skvortsov, A. A. Tsupak, “Numerical study of electromagnetic wave scattering from a non-homogeneous solid and curvilinear perfectly conducting screen”, University proceedings. Volga region. Physical and mathematical sciences, 2023, no. 3, 46–65
Citation in format AMSBIB
\Bibitem{SkvTsu23}
\by O.~S.~Skvortsov, A.~A.~Tsupak
\paper Numerical study of electromagnetic wave scattering from a non-homogeneous solid and curvilinear perfectly conducting screen
\jour University proceedings. Volga region. Physical and mathematical sciences
\yr 2023
\issue 3
\pages 46--65
\mathnet{http://mi.mathnet.ru/ivpnz542}
\crossref{https://doi.org/10.21685/2072-3040-2023-3-4}
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    University proceedings. Volga region. Physical and mathematical sciences
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