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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2022, Volume 507, Pages 51–56
DOI: https://doi.org/10.31857/S2686954322600513 (Mi danma318) 		 
This article is cited in 3 scientific papers (total in 3 papers)

MATHEMATICS

Numerical modeling of acoustic processes in gradient media using the grid-characteristic method

I. B. Petrova, V. I. Golubeva, Yu. S. Ankipovichb, A. V. Favorskayaa

a Scientific Research Institute for System Analysis, Russian Academy of Sciences, Moscow, Russia
b Moscow Institute of Physics and Technology (National Research University), Dolgoprudnyi, Moscow Region, Russia
Citations (3)
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DOI: https://doi.org/10.31857/S2686954322600513
Abstract: In this paper, we consider the problem of seismic wave propagation in gradient geological media. Their dynamic behavior is described using the acoustic approximation and the numerical integration of the initial-boundary value problem for the acoustic wave equation with spatially variable mechanical parameters. A grid-characteristic numerical method is developed that explicitly takes into account the gradient of the medium. The numerical solutions are compared with results obtained using a piecewise constant model of the medium in the one-dimensional case.
Keywords: gradient media, acoustics, mathematical modeling, grid-characteristic method.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation FNEF-2022-0005
This work was performed within the state assignment at the Federal Research Center Scientific Research Institute for System Analysis of the Russian Academy of Sciences, subject no. FNEF-2022-0005 “Mathematical Modeling of Dynamic Processes in Deformable and Reacting Media on Multiprocessor Computer Systems”, registration no. 1021060708369-1-1.2.1.
Received: 05.08.2022
Revised: 24.10.2022
Accepted: 28.10.2022
English version:
Doklady Mathematics, 2022, Volume 106, Issue 3, Pages 449–453
DOI: https://doi.org/10.1134/S1064562422700090
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: I. B. Petrov, V. I. Golubev, Yu. S. Ankipovich, A. V. Favorskaya, “Numerical modeling of acoustic processes in gradient media using the grid-characteristic method”, Dokl. RAN. Math. Inf. Proc. Upr., 507 (2022), 51–56; Dokl. Math., 106:3 (2022), 449–453
Citation in format AMSBIB
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\paper Numerical modeling of acoustic processes in gradient media using the grid-characteristic method
\jour Dokl. RAN. Math. Inf. Proc. Upr.
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\pages 51--56
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\crossref{https://doi.org/10.31857/S2686954322600513}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4563846}
\elib{https://elibrary.ru/item.asp?id=49991284}
\transl
\jour Dokl. Math.
\yr 2022
\vol 106
\issue 3
\pages 449--453
\crossref{https://doi.org/10.1134/S1064562422700090}
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