TY - JOUR
T1 - Recovery a Posteriori Error Estimates for General Convex Elliptic Optimal Control Problems Subject to Pointwise Control Constraints
JO - Journal of Computational Mathematics
VL - 4
SP - 543
EP - 560
PY - 2009
DA - 2009/08
SN - 27
DO - http://doi.org/10.4208/jcm.2009.27.4.018
UR - https://global-sci.org/intro/article_detail/jcm/8588.html
KW - General convex optimal control problems, Finite element approximation, Control constraints, Superconvergence, Recovery operator.
AB - <p style="text-align: justify;">Superconvergence and recovery a posteriori error estimates of the finite element approximation for general convex optimal control problems are investigated in this paper. We obtain the superconvergence properties of finite element solutions, and by using the superconvergence results we get recovery a posteriori error estimates which are asymptotically exact under some regularity conditions. Some numerical examples are provided to verify the theoretical results.</p>