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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 12, Pages 2265–2276 (Mi zvmmf372)  
This article is cited in 15 scientific papers (total in 15 papers)

Artificial boundary conditions for finding surface waves in the problem of diffraction by a periodic boundary

S. A. Nazarov

Institute of Mechanical Engineering Problems, Russian Academy of Sciences, Vasil’evskii Ostrov, Bol'shoi pr. 61, St. Petersburg, 199178, Russia
Full-text PDF (1738 kB) Citations (15)
Abstract: Transparent artificial boundary conditions and an algorithm for computing the augmented scattering matrix are proposed for finding surface waves in a prescribed range of decay rates. An infinite-dimensional fictitious scattering operator is constructed that determines all waves decaying exponentially with distance from a periodic obstacle.
Key words: artificial boundary conditions, diffraction by a periodic boundary, search for surface waves.
Received: 05.10.2004
Revised: 10.02.2006
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 12, Pages 2164–2175
DOI: https://doi.org/10.1134/S0965542506120141
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: S. A. Nazarov, “Artificial boundary conditions for finding surface waves in the problem of diffraction by a periodic boundary”, Zh. Vychisl. Mat. Mat. Fiz., 46:12 (2006), 2265–2276; Comput. Math. Math. Phys., 46:12 (2006), 2164–2175
Citation in format AMSBIB
\Bibitem{Naz06}
\by S.~A.~Nazarov
\paper Artificial boundary conditions for finding surface waves in the problem of diffraction by a~periodic boundary
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 12
\pages 2265--2276
\mathnet{http://mi.mathnet.ru/zvmmf372}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2344971}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 12
\pages 2164--2175
\crossref{https://doi.org/10.1134/S0965542506120141}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33846136735}
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  • https://www.mathnet.ru/eng/zvmmf/v46/i12/p2265
    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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