Uzawa型算法的收敛性分析及Stokes问题求解  

Some Convergence Analysis of Uzawa-type Algorithms for Solving the Stokes Problem

作　　者：孙国卿[1] 郑权[2] 朱晓云[3] Sun Guoqing;Zheng Quan;Zhu Xiaoyun(Tianjin University Renai College,Tianjin 301636,China;College of Science,North China University of Technology,Beijing 100144,China;Tianjin Transportation Techinical College,Tianjin 300110,China)

机构地区：[1]天津大学仁爱学院,天津301636 [2]北方工业大学理学院,北京100144 [3]天津交通职业学院,天津300110

出　　处：《南开大学学报（自然科学版）》2020年第6期65-71,共7页Acta Scientiarum Naturalium Universitatis Nankaiensis

基　　金：国家自然科学基金(11471019)。

摘　　要：对求解鞍点问题的不精确Uzawa算法及非线性不精确Uzawa算法进行研究,给出这些算法收敛的一些新的充要条件或充分条件及收敛速度估计.并将算法应用到Mini元离散求解Stokes问题中,通过数值计算验证所得结论的正确性.The inexact Uzawa algorithm and the nonlinear inexact Uzawa algorithm for solving saddle point problems are discussed, meanwhile the new sufficient condition and error propagation matrix of those algorithms are obtained. Applying to the Stokes equations by the Mini element, the theoretical results will be verified by the numerical calculation.

关 键 词：不精确Uzawa算法 非线性不精确Uzawa算法 收敛性 STOKES问题 

分 类 号：O242[理学—计算数学]