A posteriori error estimates for control problems governed by nonlinear elliptic equations
A posteriori error estimates for control problems governed by nonlinear elliptic equations
复制标题
DOI：
10.1016/s0168-9274(03)00054-0
复制
发表时间：
2003-11-01
影响因子：
2.8
通讯作者：
Yan, NN
中科院分区：
文献类型：
--
作者：
Liu, WB;Yan, NN
本文给出了一类非线性最优控制问题有限元逼近的后验误差估计。我们推导出状态和控制近似的后验误差估计。这样的估计，这显然是没有在文献中，可以用来构造可靠的自适应有限元逼近方案的控制问题。(C)2003年IMACS。Elsevier B.V.出版，保留所有权利。
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.