A Mimetic Discretization of Elliptic Control Problems
Tuesday 12th July 2011
Antonietti, P.F.; Bigoni, N.; Verani, M.
In this paper we investigate the Mimetic Finite Difference method for the approximation of a constraint optimal control problem governed by an elliptic operator. A priori error estimates of the first order are derived in suitable discrete norms for both the control and the state variables. The theoretical results are confirmed by numerical experiments performed on a set of test cases selected from the literature.