标题：A CHARACTERISTIC FINITE ELEMENT METHOD FOR CONSTRAINED CONVECTION-DIFFUSION-REACTION OPTIMAL CONTROL PROBLEMS
作者：Hongfei Fu;Hongxing Rui;Hui Guo
作者机构：[Hongfei Fu;Hui Guo]Department of Computational and Applied Mathematics, China University of Petroleum, Qingdao 266580, China.;[Hongxing Rui]School of 更多
通讯作者地址：[Fu, HF]China Univ Petr, Dept Computat & Appl Math, Qingdao 266580, Peoples R China.
摘要：In this paper, we develop a priori error estimates for the solution of constrained convection-diffusion-reaction optimal control problems using a characteristic finite element method. The cost functional of the optimal control problems consists of three parts: The first part is about integration of the state over the whole time interval, the second part refers to final-time state, and the third part is a regularization term about the control. We discretize the state and co-state by piecewise linear continuous functions, while the control is approximated by piecewise constant functions. Pointwise inequality function constraints on the control are considered, and optimal a L-2-norm priori error estimates are obtained. Finally, we give two numerical examples to validate the theoretical analysis.