A new Uzawa method for fourth-order block saddle point problems

作者:Shen, Hai-Long; Nie, Peng-Fei; Shao, Xin-Hui*; Li, Chang-Jun
来源:COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 37(4): 5175-5186.
DOI:10.1007/s40314-018-0623-5

摘要

In this paper, we first propose a new Uzawa-SOR method for fourth-order block saddle point problems. Then we study its convergence conditions through some lemmas and theorems. Finally, the numerical results are presented to prove the 4-USOR method we proposed has less workload per iteration and higher accuracy for large linear system than the other Uzawa-type methods for solving the fourth-order block saddle point problem, which shows the effectiveness and feasibility of our method.

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