Journal of Scientific Computing

, Volume 56, Issue 1, pp 14–27

Mimetic Discretizations of Elliptic Control Problems

Authors

  • Paola F. Antonietti
    • MOX, Dipartimento di MatematicaPolitecnico di Milano
    • MOX, Dipartimento di MatematicaPolitecnico di Milano
  • Marco Verani
    • MOX, Dipartimento di MatematicaPolitecnico di Milano
Article

DOI: 10.1007/s10915-012-9659-7

Cite this article as:
Antonietti, P.F., Bigoni, N. & Verani, M. J Sci Comput (2013) 56: 14. doi:10.1007/s10915-012-9659-7

Abstract

We investigate the performance of the Mimetic Finite Difference (MFD) method for the approximation of a constraint optimal control problem governed by an elliptic operator. Low-order and high-order mimetic discretizations are considered and a priori error estimates are derived, in a suitable discrete norm, for both the control and the state variables. A wide class of numerical experiments performed on a set of examples selected from the literature assesses the robustness of the MFD method and confirms the convergence analysis.

Keywords

Optimal control problemsMimetic finite difference methodMixed formulation

Copyright information

© Springer Science+Business Media New York 2012