Uzawa-Low method and preconditioned Uzawa-Low method for three-order block saddle point problem
Uzawa-Low method and preconditioned Uzawa-Low method for three-order block saddle point problem
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DOI：
10.1016/j.amc.2015.07.107
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发表时间：
2015-10
期刊：
影响因子：
--
通讯作者：
Jicheng Li;Na-Na Wang-Na;Xu Kong
中科院分区：
文献类型：
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作者：
Jicheng Li;Na-Na Wang-Na;Xu Kong
本文给出了求解三阶块鞍点问题的Uzawa-Low方法，并建立了相应的收敛条件。在此基础上，通过引入一个预条件，提出了中心预条件Uzawa-Low方法（CPU-Low方法），并给出了其收敛条件。实验结果表明，对于原始鞍点问题，这两种方法均优于Uzawa-Low方法，对于三阶块鞍点问题，CPU-Low方法优于Uzawa-Low方法。
In this paper, Uzawa-Low method for three-order block saddle point problem is presented and the corresponding convergence conditions are established. Furthermore, by introducing a preconditioner, we propose centered preconditioned Uzawa-Low method (CPU-Low method) and obtain its convergence conditions as well. Experimental results show that the two proposed methods are more efficient than Uzawa-Low method for the original saddle point problem and the CPU-Low method is superior to the Uzawa-Low method for three-order block saddle point problem.