Error estimates for the Lavrentiev regularization of elliptic optimal control problems
Error estimates for the Lavrentiev regularization of elliptic optimal control problems
复制标题
椭圆最优控制问题拉夫连季耶夫正则化的误差估计
DOI：
10.1088/0266-5611/24/5/055003
复制
发表时间：
2008
期刊：
影响因子：
2.1
通讯作者：
A. Rösch
中科院分区：
文献类型：
--
作者：
S. Cherednichenko;K. Krumbiegel;A. Rösch
我们主要研究由偏微分方程组控制的最优控制问题。对状态的约束的存在带来了数值和分析上的困难。我们处理这些障碍，引入拉夫伦蒂耶夫正则化。关键问题是基于某些源表示变元的解的收敛阶的分析研究。针对具有附加控制约束的问题，研究了一种虚拟控制方法。给出了数值实验结果。
We focus on optimal control problems governed by partial differential equations. The presence of constraints on the state provides numerical and analytical difficulties. We treat these obstacles introducing a Lavrentiev regularization. The key issue is addressed to the analytical investigation of the convergence order of solutions based on certain source representation arguments. A virtual control approach is investigated for problems with additional control constraints. Numerical experiments are presented.