On nonoverlapping domain decomposition methods for the incompressible Navier-Stokes equations
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 39 (2005) no. 6 , p. 1251-1269
doi : 10.1051/m2an:2005046
URL stable : http://www.numdam.org/item?id=M2AN_2005__39_6_1251_0

Classification:  65F10,  65N30,  65N55
In this paper, a Dirichlet-Neumann substructuring domain decomposition method is presented for a finite element approximation to the nonlinear Navier-Stokes equations. It is shown that the Dirichlet-Neumann domain decomposition sequence converges geometrically to the true solution provided the Reynolds number is sufficiently small. In this method, subdomain problems are linear. Other version where the subdomain problems are linear Stokes problems is also presented.

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