| Abstract in Chinese | 第1-5页 |
| Abstract in English | 第5-6页 |
| 1 Introduction | 第6-11页 |
| 2 Splitting preconditioner for the saddle point system | 第11-19页 |
| §2.1 A new splitting preconditioner P_S | 第11-12页 |
| §2.2 Convergence analysis of the stationary scheme | 第12-17页 |
| §2.3 Practical implementation of the P_S preconditioner | 第17-19页 |
| 3 Relaxed splitting preconditioner for the saddle point system | 第19-24页 |
| §3.1 A new relaxed splitting preconditioner P_(RS) | 第19页 |
| §3.2 Spectral properties of the relaxed preconditioned matrix | 第19-23页 |
| §3.3 Practical implementation of the P_(RS) preconditioner | 第23-24页 |
| 4 Generalized relaxed splitting preconditioner for the saddle pointsystem | 第24-29页 |
| §4.1 Generalized relaxed splitting preconditioner P_(GRS) | 第24-25页 |
| §4.2 Analysis of the spectral properties | 第25-28页 |
| §4.3 Practical implementation of the P_(GRS) preconditioner | 第28-29页 |
| 5 Numerical experiments | 第29-40页 |
| 6 Conclusions and future work | 第40-41页 |
| Bibliography | 第41-45页 |
| Acknowledgements | 第45页 |
