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Numerical methods and programming, 2005, Volume 6, Issue 1, Pages 304–314 (Mi vmp651)  
Solution of the Stokes problem with parameter by the use of iteration of boundary conditions

A. V. Kargin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (380 kB)
Abstract: An iterative method for solving the Stokes problem with parameter in a rectangular domain is proposed and substantiated. The convergence rate of the method does not depend on the parameter and on the ratio of the rectangle sides. Some numerical results are discussed for a test problem on a cavern.
Keywords: Stokes problem with parameter, iteration of boundary conditions, uniform parametric convergence.
UDC: 519.63
Language: Russian
Citation: A. V. Kargin, “Solution of the Stokes problem with parameter by the use of iteration of boundary conditions”, Num. Meth. Prog., 6:1 (2005), 304–314
Citation in format AMSBIB
\Bibitem{Kar05}
\by A.~V.~Kargin
\paper Solution of the Stokes problem with parameter by the use of iteration of boundary conditions
\jour Num. Meth. Prog.
\yr 2005
\vol 6
\issue 1
\pages 304--314
\mathnet{http://mi.mathnet.ru/vmp651}
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  • https://www.mathnet.ru/eng/vmp/v6/i1/p304
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