@Article{JCM-26-660,
author = {Yanzhen Chang and Danping Yang},
title = {Superconvergence Analysis of Finite Element Methods for Optimal Control Problems of the Stationary Bénard Type},
journal = {Journal of Computational Mathematics},
year = {2008},
volume = {26},
number = {5},
pages = {660--676},
abstract = {<p style="text-align: justify;">In this paper, we consider the finite element approximation of the distributed optimal control problems of the stationary Bénard type under the pointwise control constraint. The states and the co-states are approximated by polynomial functions of lowest-order mixed finite element space or piecewise linear functions and the control is approximated by piecewise constant functions. We give the superconvergence analysis for the control; it is proved that the approximation has a second-order rate of convergence. We further give the superconvergence analysis for the states and the co-states. Then we derive error estimates in $L^\infty$-norm and optimal error estimates in $L^2$-norm.</p>},
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/8650.html}
}