Geodesic
Domain decomposition method and numerical analysis of a fluid dynamics problem
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 9, pp. 1515-1536 
A. V. Rukavishnikov. Domain decomposition method and numerical analysis of a fluid dynamics problem. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 9, pp. 1515-1536. http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_9_a6/
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     author = {A. V. Rukavishnikov},
     title = {Domain decomposition method and numerical analysis of a fluid dynamics problem},
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     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_9_a6/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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