Adaptive finite element approximation for distributed elliptic optimal control problems

被引：236

作者：

Li, R ^{[1
]}

Liu, WB

Ma, HP

Tang, T

机构：

[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

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

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

[4] Shanghai Univ, Dept Math, Shanghai 200436, Peoples R China

[5] Hong Kong Baptist Univ, Dept Math, Kowloon, Hong Kong, Peoples R China

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2002年 / 41卷 / 05期

关键词：

mesh adaptivity; optimal control; a posteriori error estimate; finite element method;

D O I：

10.1137/S0363012901389342

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, sharp a posteriori error estimators are derived for a class of distributed elliptic optimal control problems. These error estimators are shown to be useful in adaptive finite element approximation for the optimal control problems and are implemented in the adaptive approach. Our numerical results indicate that the sharp error estimators work satisfactorily in guiding the mesh adjustments and can save substantial computational work.

引用

页码：1321 / 1349

页数：29

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