TY - JOUR
T1 - A Posteriori Error Estimate of Finite Element Method for the Optimal Control with the Stationary Bénard Problem
JO - Journal of Computational Mathematics
VL - 1
SP - 68
EP - 87
PY - 2013
DA - 2013/02
SN - 31
DO - http://doi.org/10.4208/jcm.1210-m3864
UR - https://global-sci.org/intro/article_detail/jcm/9722.html
KW - Optimal control problem, Stationary Bénard problem, Nonlinear coupled system, A posteriori error estimate.
AB - <p style="text-align: justify;">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.</p>