A posteriori error estimates for optimal control problems governed by parabolic equations

被引：135
|
作者：
Liu, WB [1 ]
Yan, NN
机构：
[1] Univ Kent, CBS, Canterbury CT2 7PE, Kent, England
[2] Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing, Peoples R China
来源：
NUMERISCHE MATHEMATIK | 2003年 / 93卷 / 03期
关键词：
D O I：
10.1007/s002110100380
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 quadratic optimal control problem governed by linear parabolic equation. We obtain a posteriori error estimates for both the state and the control approximation. Such estimates, which are apparently not available in the literature, are an important step towards developing reliable adaptive finite element approximation schemes for the control problem.
引用
收藏
页码：497 / 521
页数：25
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