Article contents
On nonoverlapping domain decomposition methods for the incompressible Navier-Stokes equations
Published online by Cambridge University Press: 15 November 2005
Abstract
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.
Keywords
- Type
- Research Article
- Information
- ESAIM: Mathematical Modelling and Numerical Analysis , Volume 39 , Issue 6 , November 2005 , pp. 1251 - 1269
- Copyright
- © EDP Sciences, SMAI, 2005
References
- 8
- Cited by