A priori estimate of Crank-Nicolson mixed covolume method for parabolic optimal control problems
Changling Xu
School of Mathematics and Statistics, Beihua University, Jilin, P.R.C
Keywords: mixed volume method, Crank-Nicolson, generalized mixed covolume elliptic projection, a priori error estimate
Abstract
In this paper, we will give a new Crank-Nicolson mixed covolume method for parabolic optimal control problems. The state and co-state variables are approximated by the lowest order Raviart-Thomas element and the control variable is approximated by piecewise constant function, while Crank-Nicolson scheme is ultilized for temporal discretization. We derive the priori error estimates for the control variable, the state and the co-state variables.
|
