Variants of the PSS preconditioner for generalized saddle point problems from the Navier-Stokes equations
Abstract
In this paper, a class of new preconditioners based on matrix splitting are presented for generalized saddle-point linear systems, which can be viewed as further modified improvements of some recently published preconditioners. Moreover, we widen the scope of the new preconditioners to solve the more general but rarely considered saddle-point linear systems with singular leading blocks and rank-deficient off-diagonal blocks. The new variants can result in much better convergence properties and spectrum distributions than the original existing preconditioners. Numerical experiments are used to illustrate the efficiency of the new proposed preconditioners.
Keywords
Cite
@article{arxiv.1802.10230,
title = {Variants of the PSS preconditioner for generalized saddle point problems from the Navier-Stokes equations},
author = {Zhao-Zheng Liang and Guo-Feng Zhang},
journal= {arXiv preprint arXiv:1802.10230},
year = {2018}
}
Comments
We have updated the original submission greatly. Additional contents are added and the structures are changed. Moreover, a more suitable title is used to replace the original one. In order to make it clearer to understand the main idea of this paper, we decide to withdraw the arXiv article (1802.10230) and submit a new paper