Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
Dr. Na Huang, Institute of Computational Mathematics and Scientific/Engineering Computing, CAS
Inviter:
Title:
Inexact Uzawa-type methods for solving a class of block three-by-three saddle point problems
Time & Venue:
2017.11.8 16:00-17:00 Z311
Abstract:
We extend the Uzawa iterative method to solve a class of block three-by-three saddle point problems. Each step requires the solution of a symmetric indefinite system of linear equations. By using an approximate solution to replace this computation, we also study an inexact Uzawa-type method and its two special cases. Theoretical analyses show that the inexact Uzawa-type methods converge to the unique solution of this saddle point problem under suitable assumptions on the approximation calculation level. Numerical experiments are presented to further confirm the effectiveness and robustness of all these new methods.