Domain decomposition method and numerical analysis of a fluid dynamics problem
Abstract
A twodimensional problem obtained by time discretization and linearization of a viscous flow governed by the incompressible NavierStokes equations is considered. The original domain is divided into subdomains such that their interface is a smooth (nonclosed, selfavoiding) 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.
 Publication:

Computational Mathematics and Mathematical Physics
 Pub Date:
 September 2014
 DOI:
 10.1134/S0965542514070094
 Bibcode:
 2014CMMPh..54.1459R
 Keywords:

 domain decomposition method;
 nonconforming finite element method;
 mortar elements;
 incompressible NavierStokes equations;
 estimate of the convergence rate of the discrete solution to the exact one