A posteriori error estimates of stabilized finite volume method for the Stokes equations

被引：4

作者：

Zhang, Tong ^{[1
,3
]}

Mu, Lin ^{[2
]}

Yuan, JinYun ^{[3
]}

机构：

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

[2] Michigan State Univ, Dept Math, E Lansing, MI 48823 USA

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

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2016年 / 39卷 / 01期

关键词：

a posteriori error estimates; stabilized finite volume method; Stokes equations; dual argument; ELEMENT-METHOD; APPROXIMATIONS;

D O I：

10.1002/mma.3457

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, the residual-type posteriori error estimates of stabilized finite volume method are studied for the steady Stokes problem based on two local Gauss integrations. By using the residuals between the source term and numerical solutions, the computable global upper and local lower bounds for the errors of velocity in H-1 norm and pressure in L-2 norm are derived. Furthermore, a global upper bound of u - u(h) in L-2-norm is also derived. Finally, some numerical experiments are provided to verify the performances of the established error estimators. Copyright (c) 2015 John Wiley & Sons, Ltd.

引用

页码：32 / 43

页数：12

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