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Zapiski Nauchnykh Seminarov POMI, 2013, Volume 419, Pages 154–167 (Mi znsl5743)  
This article is cited in 1 scientific paper (total in 1 paper)

Analytic evaluation of the matrix entries for linear algebraic systems in the problem of electromagnetic scattering by surfaces of arbitrary shape

I. S. Kostareva, T. R. Gazizovb, Yu. M. Kazantsevc

a Joint-Stock Company "Scientific & Industrial Center "Polyus", Tomsk, Russia
b Tomsk State University of Control Systems and Radioelectronics, Tomsk, Russia
c Tomsk Polytechnic University, Tomsk, Russia
Full-text PDF (235 kB) Citations (1)
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Abstract: The paper considers computation of the matrix entries for linear algebraic systems of equations occurring in the Rao–Wilton–Glisson solution by the method of moments for problems of electromagnetic scattering by surfaces of arbitrary shape. Using the Taylor series expansion and its truncation to four terms, all double integrals needed in computing the matrix entries are taken, and closed-form analytic expressions are obtained. It is demonstrated that these expressions provide for a faster and more accurate solution than numerical integration.
Key words and phrases: linear algebraic equations, matrix entry, integration, analytic expression, Taylor series expansion, method of moments.
Received: 26.04.2013
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 199, Issue 4, Pages 456–462
DOI: https://doi.org/10.1007/s10958-014-1873-4
Bibliographic databases:
Document Type: Article
UDC: 004.942
Language: Russian
Citation: I. S. Kostarev, T. R. Gazizov, Yu. M. Kazantsev, “Analytic evaluation of the matrix entries for linear algebraic systems in the problem of electromagnetic scattering by surfaces of arbitrary shape”, Computational methods and algorithms. Part XXVI, Zap. Nauchn. Sem. POMI, 419, POMI, St. Petersburg, 2013, 154–167; J. Math. Sci. (N. Y.), 199:4 (2014), 456–462
Citation in format AMSBIB
\Bibitem{KosGazKaz13}
\by I.~S.~Kostarev, T.~R.~Gazizov, Yu.~M.~Kazantsev
\paper Analytic evaluation of the matrix entries for linear algebraic systems in the problem of electromagnetic scattering by surfaces of arbitrary shape
\inbook Computational methods and algorithms. Part~XXVI
\serial Zap. Nauchn. Sem. POMI
\yr 2013
\vol 419
\pages 154--167
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5743}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2014
\vol 199
\issue 4
\pages 456--462
\crossref{https://doi.org/10.1007/s10958-014-1873-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84902343658}
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  • https://www.mathnet.ru/eng/znsl/v419/p154
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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