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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 9, Pages 1515–1536
DOI: https://doi.org/10.7868/S0044466914070102 (Mi zvmmf10090) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Domain decomposition method and numerical analysis of a fluid dynamics problem

A. V. Rukavishnikov

Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, ul. Dzerzhinskogo 54, Khabarovsk, 680000, Russia
Full-text PDF (659 kB) Citations (5)
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DOI: https://doi.org/10.7868/S0044466914070102
Abstract: A two-dimensional problem obtained by time discretization and linearization of a viscous flow governed by the incompressible Navier–Stokes equations is considered. The original domain is divided into subdomains such that their interface is a smooth (nonclosed, self-avoiding) curve with the ends belonging to the boundary of the domain. A nonconforming finite element method is constructed for the problem, and the convergence rate of the discrete solution of the problem to the exact one is estimated in the $L_2(\Omega_h)$ norm.
Key words: domain decomposition method, nonconforming finite element method, mortar elements, incompressible Navier–Stokes equations, estimate of the convergence rate of the discrete solution to the exact one.
Received: 25.05.2012
Revised: 16.01.2014
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 9, Pages 1459–1480
DOI: https://doi.org/10.1134/S0965542514070094
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. V. Rukavishnikov, “Domain decomposition method and numerical analysis of a fluid dynamics problem”, Zh. Vychisl. Mat. Mat. Fiz., 54:9 (2014), 1515–1536; Comput. Math. Math. Phys., 54:9 (2014), 1459–1480
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    • This publication is cited in the following 5 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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