摘要
In this paper,the finite element approximation of a class of semilinear parabolic optimal control problems with pointwise control constraint is studied.We discretize the state and co-state variables by piecewise linear continuous functions,and the control variable is approximated by piecewise constant functions or piecewise linear discontinuous functions.Some a priori error estimates are derived for both the control and state approximations.The convergence orders are also obtained.
基金
supported by the National Basic Research Program of China(No.2007CB814906)
the National Natural Science Foundation of China(No.10771124)。
