Error estimates for parabolic optimal control problems with control and state constraints

Error estimates for parabolic optimal control problems with control and state constraints

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Article ID: iaor20133978
Volume: 56
Issue: 1
Start Page Number: 131
End Page Number: 151
Publication Date: Sep 2013
Journal: Computational Optimization and Applications
Authors: ,
Keywords: error analysis
Abstract:

The numerical approximation to a parabolic control problem with control and state constraints is studied in this paper. We use standard piecewise linear and continuous finite elements for the space discretization of the state, while the dG(0) method is used for time discretization. A priori error estimates for control and state are obtained by an improved maximum error estimate for the corresponding discretized state equation. Numerical experiments are provided which support our theoretical results.

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