A posteriori error estimates for convex boundary control problems

被引：128
作者：
Liu, WB [1 ]
Yan, NN
机构：
[1] Univ Kent, Canterbury Business Sch, Canterbury CT2 7NF, Kent, England
[2] Univ Kent, Inst Math & Stat, Canterbury CT2 7NF, Kent, England
来源：
SIAM JOURNAL ON NUMERICAL ANALYSIS | 2001年 / 39卷 / 01期
关键词：
optimal boundary control; finite element approximation; adaptive finite element methods; a posteriori error analysis;
D O I：
10.1137/S0036142999352187
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present an a posteriori error analysis for the finite element approximation of convex optimal Neumann boundary control problems. We derive a posteriori error estimates for both the state and the control approximation, rst on polygonal domains and then on Lipschitz piecewise C-2 domains. 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. Explicit estimates are shown for some model problems that frequently appear in applications.
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页码：73 / 99
页数：27
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