A posteriori error estimates for distributed convex optimal control problems
A posteriori error estimates for distributed convex optimal control problems
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DOI：
10.1023/a:1014239012739
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发表时间：
2001-01-01
影响因子：
1.7
通讯作者：
Yan, NN
中科院分区：
文献类型：
--
作者：
Liu, WB;Yan, NN
本文给出了分布凸最优控制问题有限元逼近的后验误差分析。在一些在许多应用中都适用的假设下，我们得到了耦合状态和控制近似的后验误差估计。这种估计显然在文献中是不可用的，可以用来构造控制问题的可靠的自适应有限元逼近格式。对于一些在实际应用中经常出现的模型问题，给出了显式估计。
In this paper, we present an a posteriori error analysis for finite element approximation of distributed convex optimal control problems. We derive a posteriori error estimates for the coupled state and control approximations under some assumptions which hold in many applications. Such estimates, which are apparently not available in the literature, can be used to construct reliable adaptive finite element approximation schemes for control problems. Explicit estimates are obtained for some model problems which frequently appear in real-life applications.