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

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  • Wei Gong
  • Michael Hinze

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. Copyright Springer Science+Business Media New York 2013

Suggested Citation

  • Wei Gong & Michael Hinze, 2013. "Error estimates for parabolic optimal control problems with control and state constraints," Computational Optimization and Applications, Springer, vol. 56(1), pages 131-151, September.
    • Handle: RePEc:spr:coopap:v:56:y:2013:i:1:p:131-151
    DOI: 10.1007/s10589-013-9541-z
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    Cited by:

    1. Francesco Ludovici & Ira Neitzel & Winnifried Wollner, 2018. "A Priori Error Estimates for State-Constrained Semilinear Parabolic Optimal Control Problems," Journal of Optimization Theory and Applications, Springer, vol. 178(2), pages 317-348, August.

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