An Uzawa iterative method for the natural convection problem based on mixed finite element method

被引：3
|
作者：
Li, Xianzhu [1 ]
Huang, Pengzhan [1 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 17期
关键词：
natural convection problem; numerical tests; relaxation parameter; Uzawa iterative method; BOUSSINESQ PROBLEM; STOKES EQUATIONS; ERROR ANALYSIS; ALGORITHM;
D O I：
10.1002/mma.7627
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, an Uzawa iterative method combined with a mixed finite element method is presented for solving the natural convection model, where a decoupling discrete system is solved and no saddle point system is required to solve at each iterative step. Moreover, the authors establish convergence result of the method and find an interval of relaxation parameter that is crucial for the convergence of the presented method.
引用
收藏
页码：13326 / 13343
页数：18
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