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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
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.
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
Linking options:
https://www.mathnet.ru/eng/ivpnz542 https://www.mathnet.ru/eng/ivpnz/y2023/i3/p46
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Abstract page: | 44 | Full-text PDF : | 26 | References: | 18 |
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