TY - JOUR
T1 - Spectral properties of a class of matrix splitting preconditioners for saddle point problems
AU - Wang, Rui Rui
AU - Niu, Qiang
AU - Ma, Fei
AU - Lu, Lin Zhang
N1 - Publisher Copyright:
© 2015 Elsevier B.V. All rights reserved.
PY - 2016/5/15
Y1 - 2016/5/15
N2 - Based on the accelerated Hermitian and skew-Hermitian splitting iteration scheme (Bai and Golub, 2007), we propose a new two-parameter matrix splitting preconditioner in this paper. Spectral properties of the preconditioned matrix are analyzed in detail. Furthermore, based on this preconditioner, an improved version of matrix splitting preconditioner is presented and analyzed. Finally, performance of the preconditioners is compared by using GMRES(m) as an iterative solver on linear systems arising from the discretization of Stokes and Navier-Stokes equations.
AB - Based on the accelerated Hermitian and skew-Hermitian splitting iteration scheme (Bai and Golub, 2007), we propose a new two-parameter matrix splitting preconditioner in this paper. Spectral properties of the preconditioned matrix are analyzed in detail. Furthermore, based on this preconditioner, an improved version of matrix splitting preconditioner is presented and analyzed. Finally, performance of the preconditioners is compared by using GMRES(m) as an iterative solver on linear systems arising from the discretization of Stokes and Navier-Stokes equations.
KW - GMRES
KW - Matrix splitting iteration
KW - Preconditioner
KW - Saddle point problem
UR - http://www.scopus.com/inward/record.url?scp=84952004392&partnerID=8YFLogxK
U2 - 10.1016/j.cam.2015.12.007
DO - 10.1016/j.cam.2015.12.007
M3 - Article
AN - SCOPUS:84952004392
SN - 0377-0427
VL - 298
SP - 138
EP - 151
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
ER -