RESIDUAL A POSTERIORI ERROR ESTIMATE TWO-GRID METHODS FOR THE STEADY (NAVIER-STOKES) EQUATION WITH STREAM FUNCTION FORM  

作　　者：任春风 马逸尘 

机构地区：[1]College of Science, Xi'an Jiaotong University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2004年第5期546-559,共14页应用数学和力学（英文版）

基　　金：theNationalNaturalScienceFoundationofChina ( 50 1 3 60 3 0 ;1 0 3 71 0 96)

摘　　要：Residual based on a posteriori error estimates for conforming finite element solutions of incompressible Navier-Stokes equations with stream function form which were computed with seven recently proposed two-level method were derived. The posteriori error estimates contained additional terms in comparison to the error estimates for the solution obtained by the standard finite element method. The importance of these additional terms in the error estimates was investigated by studying their asymptotic behavior. For optimal scaled meshes, these bounds are not of higher order than of convergence of discrete solution.Residual based on a posteriori error estimates for conforming finite element solutions of incompressible Navier-Stokes equations with stream function form which were computed with seven recently proposed two-level method were derived. The posteriori error estimates contained additional terms in comparison to the error estimates for the solution obtained by the standard finite element method. The importance of these additional terms in the error estimates was investigated by studying their asymptotic behavior. For optimal scaled meshes, these bounds are not of higher order than of convergence of discrete solution.

关 键 词：two-level method Navier-Stokes equation residual a posteriori error estimate finite element method stream function form 

分 类 号：O241.82[理学—计算数学]