A posteriori error estimates for control problems governed by nonlinear elliptic equations

被引：42

作者：

Liu, WB ^{[1
]}

Yan, NN

机构：

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

[2] Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China

来源：

APPLIED NUMERICAL MATHEMATICS | 2003年 / 47卷 / 02期

关键词：

nonlinear optimal control; finite element approximation; adaptive finite element methods; a posteriori error analysis;

D O I：

10.1016/S0168-9274(03)00054-0

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 a class of nonlinear optimal control problems. We derive a posteriori error estimates for both the state and the control approximation. Such estimates, which are apparently not available in the literature, can be used to construct reliable adaptive finite element approximation schemes for the control problems. (C) 2003 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：173 / 187

页数：15

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