Error estimate for a simple two-level discretization of stream function form of the Navier-Stokes equations

被引：1

作者：

Shao, Xinping ^{[1
]}

Han, Danfu ^{[2
]}

机构：

[1] Hangzhou Dianzi Univ, Sch Sci, Hangzhou 310018, Peoples R China

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 19期

关键词：

Two-level method; Navier-Stokes equations; Error estimate; Backtracking technique; Stream function; FINITE-ELEMENT; BACKTRACKING; FORMULATION;

D O I：

10.1016/j.amc.2012.03.081

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a simplified two-level finite element method with backtracking is proposed for the stream function formulation of the Navier-Stokes equations. This method requires the solution of two small systems on the coarse space and one symmetric, positive linear problem on the refined space. Error analysis for the case of Clough-Tocher or Bogner-Fox-Schmit elements is presented and the optimal asymptotic estimation is obtained in the H-2-and H-1-norms. Finally, numerical examples are given to verify the theoretical analysis. Crown Copyright (C) 2012 Published by Elsevier Inc. All rights reserved.

引用

页码：9943 / 9952

页数：10

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