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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 5, Pages 908–922 (Mi zvmmf4879)  
This article is cited in 1 scientific paper (total in 1 paper)

Convergence rate estimates for a projection-difference scheme as applied to the nonstationary stokes equation in cylindrical coordinates

E. I. Aksenova

Praktika Law Firm, ul. Delegatskaya 11, Moscow, 127473 Russia
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Abstract: An implicit projection-difference scheme is constructed for the nonstationary Stokes equation in cylindrical coordinates. No axial symmetry is assumed. Under minimal assumptions about the initial data, convergence rate estimates are obtained that are uniform in the inner radius of the domain of order $(\tau^{1/2}+h)^\alpha$, $\alpha=1$, $2$. The results remain valid for domains with no hole and in the case of Cartesian coordinates.
Key words: nonstationary Stokes equation, cylindrical coordinates, domain with a small hole, nonsmooth data, implicit projection-difference scheme, convergence rate estimate.
Received: 17.10.2008
Revised: 08.04.2009
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 5, Pages 862–876
DOI: https://doi.org/10.1134/S0965542510050106
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: E. I. Aksenova, “Convergence rate estimates for a projection-difference scheme as applied to the nonstationary stokes equation in cylindrical coordinates”, Zh. Vychisl. Mat. Mat. Fiz., 50:5 (2010), 908–922; Comput. Math. Math. Phys., 50:5 (2010), 862–876
Citation in format AMSBIB
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    • This publication is cited in the following 1 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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