Domain decomposition method and numerical analysis of a fluid dynamics problem |
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Authors: | A V Rukavishnikov |
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Institution: | 1. Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, ul. Dzerzhinskogo 54, Khabarovsk, 680000, Russia
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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(Ω h ) norm. |
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