@Article{AAMM-6-552,
author = {Shen , WanfangGe , LiangYang , Danping and Liu , Wenbin},
title = {A Priori Error Estimates of Finite Element Methods for Linear Parabolic Integro-Differential Optimal Control Problems},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2014},
volume = {6},
number = {5},
pages = {552--569},
abstract = {<p style="text-align: justify;">In this paper, we study the mathematical formulation for an optimal
control problem governed by a linear parabolic integro-differential
equation and present the optimality conditions. We then set up its
weak formulation and the finite element approximation scheme. Based
on these we derive the a priori error estimates for its finite
element approximation both in $H^1$ and $L^2$ norms. Furthermore, some numerical tests are presented to
verify the theoretical results.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2012.m30},
url = {http://global-sci.org/intro/article_detail/aamm/35.html}
}