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.
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
\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}
Linking options:
https://www.mathnet.ru/eng/sjim1144
https://www.mathnet.ru/eng/sjim/v24/i3/p83
This publication is cited in the following 1 articles:
O. A. Solnyshkina, N. B. Fatkullina, A. Z. Bulatova, “Three-dimensional simulation of single- and multiphase flow in roughness microchannels”, J. Appl. Industr. Math., 17:2 (2023), 396–404
Citation in format AMSBIB
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