LOCAL POINTWISE A POSTERIORI GRADIENT ERROR BOUNDS FOR THE STOKES EQUATIONS

被引：0

作者：

Demlow, Alan ^{[1
]}

Larsson, Stig ^{[2
,3
]}

机构：

[1] Univ Kentucky, Dept Math, Lexington, KY 40506 USA

[2] Chalmers Univ Technol, Dept Math Sci, SE-41296 Gothenburg, Sweden

[3] Univ Gothenburg, SE-41296 Gothenburg, Sweden

来源：

MATHEMATICS OF COMPUTATION | 2013年 / 82卷 / 282期

基金：

瑞典研究理事会;

关键词：

Stokes system; Taylor-Hood; finite element; a posteriori; gradient; local; SYSTEM; STABILITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the standard Taylor-Hood finite element method for the stationary Stokes system on polyhedral domains. We prove local a posteriori error estimates for the maximum error in the gradient of the velocity field. Because the gradient of the velocity field blows up near reentrant corners and edges, such local error control is necessary when pointwise control of the gradient error is desirable. Computational examples confirm the utility of our estimates in adaptive codes.

引用

页码：625 / 649

页数：25

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