Abstract
In this paper we introduce a Relaxed Dimensional Factorization (RDF) preconditioner for saddle point problems. Properties of the preconditioned matrix are analyzed and compared with those of the closely related Dimensional Splitting (DS) preconditioner recently introduced by Benzi and Guo [7]. Numerical results for a variety of finite element discretizations of both steady and unsteady incompressible flow problems indicate very good behavior of the RDF preconditioner with respect to both mesh size and viscosity.
Original language | English |
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Pages (from-to) | 6185-6202 |
Number of pages | 18 |
Journal | Journal of Computational Physics |
Volume | 230 |
Issue number | 16 |
DOIs | |
Publication status | Published - 10 Jul 2011 |
User-Defined Keywords
- Dimensional Factorization
- Dimensional Splitting
- Krylov subspace method
- Navier-Stokes equations
- Oseen problem
- Saddle point problem