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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2020, Volume 60, Number 4, Pages 652–662
DOI: https://doi.org/10.31857/S0044466920040110 (Mi zvmmf11064) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Optimization of a finite-difference scheme for numerical solution of the Helmholtz equation

V. I. Kostin, S. A. Solovyev

Institute of Geology and Geophysics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia
Citations (3)
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DOI: https://doi.org/10.31857/S0044466920040110
Abstract: In this article, we propose an optimization method for a difference scheme for the numerical solution of the Helmholtz equation, applicable for any ratio of the grid steps. In the range of the number of points per wavelength of practical interest, the dispersion error of the optimal scheme is comparable with the error of higher order schemes known in the literature.
Key words: Helmholtz equation, finite-difference schemes, numerical dispersion, optimization.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation АААА-А19-119102490039-7
This work was carried out within the Research Plan of the Institute of Geology and Geophysics, Siberian Branch, Russian Academy of Sciences, state registration no. AAAA-A19-119102490039-7.
Received: 14.11.2019
Revised: 14.11.2019
Accepted: 16.12.2019
English version:
Computational Mathematics and Mathematical Physics, 2020, Volume 60, Issue 4, Pages 641–650
DOI: https://doi.org/10.1134/S0965542520040119
Bibliographic databases:
Document Type: Article
UDC: 519.632
Language: Russian
Citation: V. I. Kostin, S. A. Solovyev, “Optimization of a finite-difference scheme for numerical solution of the Helmholtz equation”, Zh. Vychisl. Mat. Mat. Fiz., 60:4 (2020), 652–662; Comput. Math. Math. Phys., 60:4 (2020), 641–650
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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