A ROBUST A POSTERIORI ERROR ESTIMATOR FOR DIVERGENCE-CONFORMING DISCONTINUOUS GALERKIN METHODS FOR THE OSEEN EQUATION

被引：2

作者：

Khan, Arbaz ^{[1
]}

Kanschat, Guido ^{[2
]}

机构：

[1] Univ Manchester, Dept Math, Manchester M13 9PL, Lancs, England

[2] Heidelberg Univ, Interdisziplinares Zentrum Wissensch Rechnen IWR, D-69120 Heidelberg, Germany

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2020年 / 58卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

a posteriori error estimates; divergence-conforming DG methods; Oseen equations; APPROXIMATIONS;

D O I：

10.1137/18M1169072

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a robust a posteriori error estimator for divergence-conforming discontinuous Galerkin methods for the Oseen equation is presented. Upper and local lower bounds for the velocity-pressure error in terms of the energy norm and a seminorm associated with the convective term are derived. We prove that the ratio of upper and lower bounds is independent of the Reynolds number. Thus the proposed estimator is fully robust. Specific numerical experiments are discussed to validate the theoretical results.

引用

页码：492 / 518

页数：27

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