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

Authors:
Wei Gong;Michael Hinze
Affiliations:
LSEC, Institute of Computational Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China 100190 and Bereich Optimierung und Approximation, Universit ...;Bereich Optimierung und Approximation, Universität Hamburg, Hamburg, Germany 20146
Venue:
Computational Optimization and Applications
Year:
2013

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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.