A Posteriori Error Analysis of Optimal Control Problems with Control Constraints

@article{Kohls2014APE,
  title={A Posteriori Error Analysis of Optimal Control Problems with Control Constraints},
  author={Kristina Kohls and Arnd R{\"o}sch and Kunibert G. Siebert},
  journal={SIAM J. Control and Optimization},
  year={2014},
  volume={52},
  pages={1832-1861}
}
We derive a unifying framework for the a posteriori error analysis of control constrained linear-quadratic optimal control problems. We consider finite element discretizations with discretized and non-discretized control. A fundamental error equivalence drastically simplifies the a posteriori error analysis for optimal control problems. It basically remains to apply error estimators for the linear state and adjoint problem. We give several examples, including stabilized discretizations, and… CONTINUE READING
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