On the convergence of iterative methods for stabilized saddle point problems

Abstract

The convergence of the inexact Uzawa method for stabilized saddle point problems was analysed in a recent paper by Cao, Evans and Qin. We show that this method converges under conditions weaker than those stated in their paper.

Keywords:

• Saddle point problem
• Inexact Uzawa method
• Convergence analysis
• Mixed finite element
• Preconditioner

Acknowledgements

The author would like to thank the anonymous referees for their helpful suggestions, which greatly improved the paper, and also wishes to thank Professor Zhi-Hao Cao for his valuable comments. This work is supported by Scientific Research Startup Foundation of Hunan University of Science and Engineering for Young Teachers.

Additional information

Notes on contributors

Yiqin Lin

Email: [email protected]