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Publication Date:
January 2006
ISSN:
1569-3988
DOI:
10.1515/156939806775696904

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Editor-in-Chief: Marchuk, Guri I.

Managing Editor: Kuznetsov, Yuri

Editorial Board Member: Agoshkov, Valeri I. / Dymnikov, Valentin P. / Kobelkov, Georgy M. / Mikhailov, Gennady A. / Repin, Sergey I. / Shaidurov, Vladimir V. / Shokin, Yuri I. / Tyrtyshnikov, Eugene E. / Vassilevski, Yuri V.

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On solution of the Stokes problem by the iteration of boundary conditions

E. V. Chizhonkov / A. V. Kargin

Moscow M. V. Lomonosov State University, Moscow 119992, Russia

Citation Information: Russian Journal of Numerical Analysis and Mathematical Modelling rnam. Volume 21, Issue 1, Pages 21–38, ISSN (Online) 1569-3988, ISSN (Print) 0927-6467, DOI: 10.1515/156939806775696904,

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In this paper we propose and justify at the differential level an iteration method for solving the Stokes problem in a rectangular domain with the rate of convergence independent of the ratio of the sides. The numerical implementation of the algorithm is constructed for the cavity test problem and computational results are given.

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