A Mimetic Discretization of Elliptic Control Problems

Keywords

Advanced Numerical Methods for Scientific Computing
Code:
27/2011
Title:
A Mimetic Discretization of Elliptic Control Problems
Date:
Tuesday 12th July 2011
Author(s):
Antonietti, P.F.; Bigoni, N.; Verani, M.
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Abstract:
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.