A posteriori error estimates of stabilized finite element method for the steady Navier-Stokes problem

被引：4

作者：

Zhang, Tong ^{[1
,2
]}

Zhao, Xin ^{[3
]}

Lei, Gang ^{[4
]}

机构：

[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454003, Peoples R China

[2] Univ Fed Parana, Dept Matemat, Ctr Politecn, BR-81531990 Curitiba, Parana, Brazil

[3] Baoji Univ Arts & Sci, Dept Geog Sci & Environm Engn, Baoji 721013, Peoples R China

[4] Baoji Univ Arts & Sci, Dept Math, Baoji 721013, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 17期

关键词：

Steady Navier-Stokes equations; Stabilized finite element method; A posteriori error estimate; Adaptivity; INCOMPRESSIBLE-FLOW; EQUATIONS; APPROXIMATIONS;

D O I：

10.1016/j.amc.2013.03.063

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we develop a posteriori error estimates for the steady Navier-Stokes equations based on the lowest equal-order mixed finite element pair. Residual type a posteriori error estimates are derived by means of general framework established by Verfurth for the nonlinear equations. Furthermore, a simple error estimator in L-2 norm is also presented by using the duality argument. Numerical experiments using adaptive computations are presented to demonstrate the effectiveness of these error estimates for three examples. The first example is a singular problem with known solution, the second example is a physical model of lid driven cavity and the last one is a backward facing step problem. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：9081 / 9092

页数：12

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