TY - JOUR
T1 - A Relaxed Dimensional Factorization preconditioner for the incompressible Navier-Stokes equations
AU - Benzi, Michele
AU - Ng, Michael
AU - Niu, Qiang
AU - Wang, Zhen
N1 - Funding Information:
Michele Benzi’s work was supported in part by a grant from the University Research Council of Emory University. Michael Ng’s work was supported in part by HKRGC grants and HKBU FRGs. Qiang Niu’s work was supported in part by the UIC research fund and XJTLU research fund. The authors are indebted to the three anonymous referees for many constructive comments and suggestions.
PY - 2011/7/10
Y1 - 2011/7/10
N2 - 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.
AB - 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.
KW - Dimensional Factorization
KW - Dimensional Splitting
KW - Krylov subspace method
KW - Navier-Stokes equations
KW - Oseen problem
KW - Saddle point problem
UR - http://www.scopus.com/inward/record.url?scp=79957551863&partnerID=8YFLogxK
U2 - 10.1016/j.jcp.2011.04.001
DO - 10.1016/j.jcp.2011.04.001
M3 - Article
AN - SCOPUS:79957551863
SN - 0021-9991
VL - 230
SP - 6185
EP - 6202
JO - Journal of Computational Physics
JF - Journal of Computational Physics
IS - 16
ER -