Numerical Analysis and Comparison of Three Iterative Methods Based on Finite Element for the 2D/3D Stationary Micropolar Fluid Equations

被引：10
作者：
Xing, Xin [1 ]
Liu, Demin [1 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
来源：
ENTROPY | 2022年 / 24卷 / 05期
基金：
中国国家自然科学基金;
关键词：
micropolar fluid equations; finite element method; iterative methods; stability; error estimation; NAVIER-STOKES EQUATIONS; 2-LEVEL METHOD; SCHEME; FLOW;
D O I：
10.3390/e24050628
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, three iterative methods (Stokes, Newton and Oseen iterative methods) based on finite element discretization for the stationary micropolar fluid equations are proposed, analyzed and compared. The stability and error estimation for the Stokes and Newton iterative methods are obtained under the strong uniqueness conditions. In addition, the stability and error estimation for the Oseen iterative method are derived under the uniqueness condition of the weak solution. Finally, numerical examples test the applicability and the effectiveness of the three iterative methods.
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页数：25
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