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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1990, Volume 30, Number 5, Pages 697–704 (Mi zvmmf3263)  
This article is cited in 2 scientific papers (total in 2 papers)

Comparison of two-numerical methods for solving the problem of the diffraction of an $E$-polarized plane wave by an ideally conducting periodic surface

V. A. Korneev, A. G. Mikheev, E. Yu. Rabotnova, A. S. Shamaev

Moscow
Full-text PDF (790 kB) Citations (2)
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Abstract: The method of collocation and the “integral equation” method, which is based on the use of the fast Fourier transform, are compared. The two algorithms are described and the results of numerical calculations of the surface currents and amplitudes of the non-decaying reflected plane waves obtained by the two methods are presented. Tables of the energy defects, the normalized difference of the solutions in $L_2[0,2\pi]$ and the times required to carry out calculations on a ES-1055 digital computer are given. The operation of the two algorithms is analysed.
Received: 09.03.1989
Revised: 29.11.1989
English version:
USSR Computational Mathematics and Mathematical Physics, 1990, Volume 30, Issue 3, Pages 41–46
DOI: https://doi.org/10.1016/0041-5553(90)90188-X
Bibliographic databases:
Document Type: Article
UDC: 519.6:535.4
MSC: Primary 65Z05; Secondary 65N38, 65N35, 35Q60, 78A45
Language: Russian
Citation: V. A. Korneev, A. G. Mikheev, E. Yu. Rabotnova, A. S. Shamaev, “Comparison of two-numerical methods for solving the problem of the diffraction of an $E$-polarized plane wave by an ideally conducting periodic surface”, Zh. Vychisl. Mat. Mat. Fiz., 30:5 (1990), 697–704; U.S.S.R. Comput. Math. Math. Phys., 30:3 (1990), 41–46
Citation in format AMSBIB
\Bibitem{KorMikRab90}
\by V.~A.~Korneev, A.~G.~Mikheev, E.~Yu.~Rabotnova, A.~S.~Shamaev
\paper Comparison of two-numerical methods for solving the problem of the diffraction of an $E$-polarized plane wave by an ideally conducting periodic surface
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1990
\vol 30
\issue 5
\pages 697--704
\mathnet{http://mi.mathnet.ru/zvmmf3263}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1058617}
\zmath{https://zbmath.org/?q=an:0704.65095}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1990
\vol 30
\issue 3
\pages 41--46
\crossref{https://doi.org/10.1016/0041-5553(90)90188-X}
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  • https://www.mathnet.ru/eng/zvmmf/v30/i5/p697
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:70
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