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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
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.
Received: 22.03.2021 Revised: 08.05.2021 Accepted: 24.06.2021
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
Linking options:
https://www.mathnet.ru/eng/sjim1144 https://www.mathnet.ru/eng/sjim/v24/i3/p83
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Abstract page: | 206 | Full-text PDF : | 82 | References: | 44 | First page: | 13 |
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