@Article{JCM-26-471,
author = {Danping Yang, Yanzhen Chang and Wenbin Liu},
title = {A Priori Error Estimate and Superconvergence Analysis for an Optimal Control Problem of Bilinear Type},
journal = {Journal of Computational Mathematics},
year = {2008},
volume = {26},
number = {4},
pages = {471--487},
abstract = {<p style="text-align: justify;">In this paper, we investigate a priori error estimates and superconvergence properties for a model optimal control problem of bilinear type, which includes some parameter estimation application. The state and co-state are discretized by piecewise linear functions and control is approximated by piecewise constant functions. We derive a priori error estimates and superconvergence analysis for both the control and the state approximations. We also give the optimal $L^2$-norm error estimates and the almost optimal $L^\infty$-norm estimates about the state and co-state. The results can be readily used for constructing a posteriori error estimators in adaptive finite element approximation of such optimal control problems.</p>},
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/8638.html}
}