Spectral properties of primal-based penalty preconditioners for saddle point problems |
| |
| Authors: | Shu-Qian Shen Ting-Zhu Huang Er-Jie Zhong |
| |
| Affiliation: | a School of Mathematics and Computational Sciences, China University of Petroleum, Dongying, Shandong, 257061, PR China
b School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan, 610054, PR China |
| |
| Abstract: | For large and sparse saddle point linear systems, this paper gives further spectral properties of the primal-based penalty preconditioners introduced in [C.R. Dohrmann, R.B. Lehoucq, A primal-based penalty preconditioner for elliptic saddle point systems, SIAM J. Numer. Anal. 44 (2006) 270-282]. The regions containing the real and non-real eigenvalues of the preconditioned matrix are obtained. The model of the Stokes problem is supplemented to illustrate the theoretical results and to test the quality of the primal-based penalty preconditioner. |
| |
| Keywords: | Saddle point problem Block preconditioner Eigenvalue Krylov subspace method |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
