On an inexact Uzawa-type algorithm for stabilized saddle point problems

Abstract

In this article, we study the convergence of an inexact Uzawa-type algorithm for solving stabilized saddle point problems. It is shown that for stabilized problems, the algorithm converges under the same condition as that in classical case.

Keywords:

• stabilized saddle point problem
• inexact Uzawa-type algorithm
• approximate Schur complement
• spectral radius
• convergence rate

2000 AMS Subject Classifications:

• 65F10
• 65F15

Acknowledgements

The author would like to thank the anonymous referees for their helpful suggestions, which would greatly improve the article. This work is supported by the National Natural Science Foundation of China under grant 10801048.