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.

引用

页码：100 / 114

页数：15

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