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 $L_2(\Omega_h)$ norm.
Key words:domain decomposition method, nonconforming finite element method, mortar elements, incompressible Navier–Stokes equations, estimate of the convergence rate of the discrete solution to the exact one.
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