A posteriori error estimates for control problems governed by Stokes equations

被引：97

作者：

Liu, WB ^{[1
]}

Yan, NN

机构：

[1] Univ Kent, CBS, Canterbury CT2 7NF, Kent, England

[2] Univ Kent, Inst Math & Stat, Canterbury CT2 7NF, Kent, England

[3] Chinese Acad Sci, Inst Syst Sci, Beijing, Peoples R China

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2002年 / 40卷 / 05期

关键词：

distributed optimal control; finite element approximation; adaptive finite element methods; a posteriori error estimates; Stokes equations;

D O I：

10.1137/S0036142901384009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we derive a posteriori error estimates for the finite element approximation of distributed optimal control problems governed by the Stokes equations. We obtain a posteriori error estimators for both the state and the control approximation in the L-2 norm and the H-1 norm. These estimates can be used to construct reliable adaptive finite element approximation for the control problems.

引用

页码：1850 / 1869

页数：20

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