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
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
收藏
页码:566 / 573
页数:8
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