Domain decomposition method and numerical analysis of a fluid dynamics problem
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.
- Publication:
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Computational Mathematics and Mathematical Physics
- Pub Date:
- September 2014
- DOI:
- 10.1134/S0965542514070094
- Bibcode:
- 2014CMMPh..54.1459R
- Keywords:
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- 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