Two-level defect-correction locally stabilized finite element method for the steady Navier-Stokes equations

被引：21

作者：

Huang, Pengzhan ^{[1
]}

Feng, Xinlong ^{[1
]}

Su, Haiyan ^{[1
]}

机构：

[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2013年 / 14卷 / 02期

基金：

中国博士后科学基金;

关键词：

Defect-correction; Two-level strategy; Navier-Stokes equations; Local Gauss integration; Error estimate; Finite element method; DISCRETIZATION; APPROXIMATION; REGULARITY; PROJECTION;

D O I：

10.1016/j.nonrwa.2012.09.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper proposes a two-level defect-correction stabilized finite element method for the steady Navier-Stokes equations based on local Gauss integration. The method combines the two-level strategy with the defect-correction method under the assumption of the uniqueness condition. Both the simplified and the Newton scheme are proposed and analyzed. Moreover, the numerical illustrations agree completely with the theoretical expectations. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：1171 / 1181

页数：11

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