Solving steady incompressible Navier-Stokes equations by the Arrow-Hurwicz method

被引：12
|
作者：
Chen, Puyin
Huang, Jianguo [1 ]
Sheng, Huashan
机构：
[1] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2017年 / 311卷
关键词：
Navier-Stokes equations; Mixed element method; The Arrow-Hurwicz method; Convergence rate analysis; SADDLE-POINT PROBLEMS; ELEMENT METHODS;
D O I：
10.1016/j.cam.2016.07.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article is devoted to analyzing an Arrow-Hurwicz type method for solving incompressible Navier-Stokes equations discretized by mixed element methods. Under several reasonable conditions, it is proved by a subtle argument that the method converges geometrically with a contraction number independent of the finite element mesh size h, even for regular triangulations. A series of numerical examples are provided to illustrate the computational performance of the method. (C) 2016 Elsevier B.V. All rights reserved.
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页码：100 / 114
页数：15
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