@Article{JCM-31-68, author = {Yanzhen Chang and Danping Yang}, title = {A Posteriori Error Estimate of Finite Element Method for the Optimal Control with the Stationary Bénard Problem}, journal = {Journal of Computational Mathematics}, year = {2013}, volume = {31}, number = {1}, pages = {68--87}, abstract = {

In this paper, we consider the adaptive finite element approximation for the distributed optimal control associated with the stationary Bénard problem under the pointwise control constraint. The states and co-states are approximated by polynomial functions of lowest-order mixed finite element space or piecewise linear functions and control is approximated by piecewise constant functions. We give the a posteriori error estimates for the control, the states and co-states.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1210-m3864}, url = {http://global-sci.org/intro/article_detail/jcm/9722.html} }