摘要
This paper is concerned with recovery type a posteriori error estimates of fully discrete finite element approximation for general convex parabolic optimal control problems with pointwise control constraints.The time discretization is based on the backward Euler method.The state and the adjoint state are approximated by piecewise linear functions and the control is approximated by piecewise constant functions.We derive the superconvergence properties of finite element solutions.By using the superconvergence results,we obtain recovery type a posteriori error estimates.Some numerical examples are presented to verify the theoretical results.
基金
supported by Guangdong Province Universities and Colleges Pearl River Scholar Funded Scheme(2008)
National Science Foundation of China(10971074)
Specialized Research Fund for the Doctoral Program of Higher Education(20114407110009)
Hunan Provinical Innovation Foundation for Postgraduate(lx2009 B120)。