Journal
JOURNAL OF SCIENTIFIC COMPUTING
Volume 56, Issue 1, Pages 14-27Publisher
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10915-012-9659-7
Keywords
Optimal control problems; Mimetic finite difference method; Mixed formulation
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Funding
- Azione Integrata Italia-Spagna [IT097ABB10]
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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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