Department of Mathematics
A relaxed dimensional factorization preconditioner for the incompressible navier-stokes equations
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 . 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. © 2011 Elsevier Inc.
Dimensional Factorization, Dimensional Splitting, Krylov subspace method, Navier-Stokes equations, Oseen problem, Saddle point problem
Source Publication Title
Journal of Computational Physics
Benzi, Michele, Michael Ng, Qiang Niu, and Zhen Wang. "A relaxed dimensional factorization preconditioner for the incompressible navier-stokes equations." Journal of Computational Physics 230.16 (2011): 6185-6202.