A two-grid method based on Newton iteration for the Navier-Stokes equations

被引：47

作者：

Dai, Xiaoxia ^{[1
]}

Cheng, Xiaoliang ^{[1
]}

机构：

[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2008年 / 220卷 / 1-2期

基金：

美国国家科学基金会;

关键词：

Navier-Stokes equations; two-grid; Newton method;

D O I：

10.1016/j.cam.2007.09.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a two-grid method for resolving the nonlinearity in finite element approximations of the equilibrium Navier-Stokes equations. We prove the convergence rate of the approximation obtained by this method. The two-grid method involves solving one small, nonlinear coarse mesh system and two linear problems on the fine mesh which have the same stiffness matrix with only different fight-hand side. The algorithm we study produces an approximate solution with the optimal asymptotic in h and accuracy for any Reynolds number. Numerical example is given to show the convergence of the method. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：566 / 573

页数：8