源自纳维-斯托克斯方程的广义鞍点问题的PSS预条件子变体
数值分析
2018-10-02 v2
摘要
本文针对广义鞍点线性系统提出了一类基于矩阵分裂的新预条件子，可视为对近期发表的一些预条件子的进一步改进。此外，我们将新预条件子的适用范围拓宽至求解更一般但极少被考虑的具有奇异主对角块和秩亏非对角块的鞍点线性系统。与原有的现有预条件子相比，这些新变体能够带来更好的收敛性质和谱分布。数值实验用于说明所提出新预条件子的有效性。
引用
@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}
}
备注
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