Mimetic Discretizations of Elliptic Control Problems

نویسندگان

  • Paola F. Antonietti
  • Nadia Bigoni
  • Marco Verani
چکیده

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.

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عنوان ژورنال:
  • J. Sci. Comput.

دوره 56  شماره 

صفحات  -

تاریخ انتشار 2013