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Sibirskii Zhurnal Industrial'noi Matematiki, 2021, Volume 24, Number 3, Pages 83–100
DOI: https://doi.org/10.33048/SIBJIM.2021.24.307 (Mi sjim1144) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the application of the fast multipole method to the optimization of the boundary element method for the Helmholtz equation

S. A. Sivak, M. E. Royak, I. M. Stupakov

Novosibirsk State Technical University, pr. Karla Marksa 20, Novosibirsk, 630073 Russia
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DOI: https://doi.org/10.33048/SIBJIM.2021.24.307
Abstract: Solving the Helmholtz equation by means of the boundary element method applied in conjunction with the fast multipole method is the subject of this paper. The accuracy analysis is presented for the model problem with known analytics. Also, we present an original approach to the computation of the rotation coefficients for the spherical harmonic decomposition of the multipole series.
Keywords: boundary element method, fast multipole method, the Helmholtz equation.
Funding agency Grant number
Russian Foundation for Basic Research 19-31-90052
Received: 22.03.2021
Revised: 08.05.2021
Accepted: 24.06.2021
Document Type: Article
UDC: 519.633.6:519.642.2
Language: Russian
Citation: S. A. Sivak, M. E. Royak, I. M. Stupakov, “On the application of the fast multipole method to the optimization of the boundary element method for the Helmholtz equation”, Sib. Zh. Ind. Mat., 24:3 (2021), 83–100
Citation in format AMSBIB
\Bibitem{SivRoyStu21}
\by S.~A.~Sivak, M.~E.~Royak, I.~M.~Stupakov
\paper On the application of the fast multipole method to the optimization of the boundary element method for the Helmholtz equation
\jour Sib. Zh. Ind. Mat.
\yr 2021
\vol 24
\issue 3
\pages 83--100
\mathnet{http://mi.mathnet.ru/sjim1144}
\crossref{https://doi.org/10.33048/SIBJIM.2021.24.307}
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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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    		Сибирский журнал индустриальной математики
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