An AIM and one-step Newton method for the Navier-Stokes equations

被引：42
|
作者：
Li, KT [1 ]
Hou, YR [1 ]
机构：
[1] Xian Jiaotong Univ, Coll Sci, Xian 710049, Peoples R China
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2001年 / 190卷 / 46-47期
关键词：
finite element; the Navier-Stokes equations; two-level method;
D O I：
10.1016/S0045-7825(01)00213-4
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we investigate a two-level finite element approximation to the Navier-Stokes equations by means of a new approximate inertial manifold (AIM). Then we construct a new AIM-based numerical scheme and show that the convergence rate of the new approximation obtained by this AIM method is better than the double of the convergence rate of the standard Galerkin finite element solution. In addition, we also show that the new AIM scheme is equivalent to a one-step Newton iterative scheme for the Navier-Stokes equations in a suitable Hilbert space. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：6141 / 6155
页数：15
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