@Article{JCM-31-88,
author = {Hongfei Fu, Hongxing Rui and Hui Guo},
title = {A Characteristic Finite Element Method for Constrained Convection-Diffusion-Reaction Optimal Control Problems},
journal = {Journal of Computational Mathematics},
year = {2013},
volume = {31},
number = {1},
pages = {88--106},
abstract = {<p style="text-align: justify;">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&nbsp; $L^2$-norm priori error estimates are obtained. Finally, we give two numerical examples to validate the theoretical analysis.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.1210-m3966},
url = {http://global-sci.org/intro/article_detail/jcm/9723.html}
}