INERTIAL ALGORITHMS FOR THE STATIONARY NAVIER-STOKES EQUATIONS

作     者：侯延仁 R.M.M.Mattheij Hou Yanren College of Science, Xi’an Jiaotong University, Xi’an 710049, ChinaR.M.M. MattheijDepartment of Mathematics and Computing Science, Eindhoven University of Technology P.O. Box 513, 5600 MB Eindhoven, The Netherlands

作者机构：College of Science Xi'an Jiaotong University Department of Mathematics and Computing Science 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2003年第23卷第2期

页      面：219-238页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0704[理学-天文学] 0701[理学-数学] 

基　　金：Subsidized by the Special Funds for Major State Basic Research ProjectsG1999032801-07,NSFC(10101020,10001028) Tian Yuan Funds(TY10126004) 

主　　题：Navier-Stokes equations error estimation inertial algorithms 

摘      要：Several kind of new numerical schemes for the stationary Navier-Stokes equations based on the virtue of Inertial Manifold and Approximate Inertial Manifold, which we call them inertial algorithms in this paper, together with their error estimations are presented. All these algorithms are constructed under an uniform frame, that is to construct some kind of new projections for the Sobolev space in which the true solution is sought. It is shown that the proposed inertial algorithms can greatly improve the convergence rate of the standard Galerkin approximate solution with lower computing effort. And some numerical examples are also given to verify results of this paper.