Journal of Scientific Computing

, Volume 56, Issue 1, pp 14–27

Mimetic Discretizations of Elliptic Control Problems



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.


Optimal control problems Mimetic finite difference method Mixed formulation 

Copyright information

© Springer Science+Business Media New York 2012

Authors and Affiliations

  • Paola F. Antonietti
    • 1
  • Nadia Bigoni
    • 1
  • Marco Verani
    • 1
  1. 1.MOX, Dipartimento di MatematicaPolitecnico di MilanoMilanItaly

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