Two-Grid Arrow-Hurwicz Methods for the Steady Incompressible Navier-Stokes Equations

被引：6

作者：

Du, Binbin ^{[1
]}

Huang, Jianguo ^{[2
,3
]}

Zheng, Haibiao ^{[4
]}

机构：

[1] Southwestern Univ Finance & Econ, Sch Econ Math, Chengdu 611130, Peoples R China

[2] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China

[3] Shanghai Jiao Tong Univ, MOE LSC, Shanghai 200240, Peoples R China

[4] East China Normal Univ, Sch Math Sci, Shanghai 200241, Peoples R China

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2021年 / 89卷 / 01期

关键词：

Navier-Stokes equations; Two-grid strategy; Arrow-Hurwicz method; Error analysis; FINITE-ELEMENT METHODS; VARIATIONAL MULTISCALE METHOD; 2-LEVEL METHOD; ALGORITHMS;

D O I：

10.1007/s10915-021-01627-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, three kinds of two-grid Arrow-Hurwicz (A-H) methods are proposed and analyzed for the steady incompressible Navier-Stokes equations, which adopt the existing A-H method to obtain the coarse mesh solution, and further enhance the efficiency by three different one-step schemes (Oseen type, Simple type and Newton type) on the fine mesh. These methods combine the A-H method and the two-grid strategy, retaining the best features of two techniques and overcoming some of their limitations. Furthermore, the error analyses of the three methods are carefully studied and the numerical tests are reported to demonstrate the theoretical results and show the efficiency of the methods.

引用

页数：24

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