In this paper, we investigate the superconvergence results for
optimal control problems governed by parabolic equations with
semidiscrete mixed finite element approximation. We use the lowest
order mixed finite element spaces to discrete the state and costate
variables while use piecewise constant function to discrete the
control variable. Superconvergence estimates for both the state
variable and its gradient variable are obtained.
Optimal control mixed finite element superconvergence parabolic equations