Third order convergent time discretization for parabolic optimal control problems with control constraints

@article{Springer2014ThirdOC,
  title={Third order convergent time discretization for parabolic optimal control problems with control constraints},
  author={Andreas Springer and Boris Vexler},
  journal={Comp. Opt. and Appl.},
  year={2014},
  volume={57},
  pages={205-240}
}
We consider a discretization and the corresponding error analysis for a linear quadratic parabolic optimal control problem with box constraints on the timedependent control variable. For such problems one can show that a time-discrete solution with second order convergence can be obtained by a first order discontinuous Galerkin time discretization for the state variable and either the variational discretization approach or a post-processing strategy for the control variable. Here, by combining… CONTINUE READING
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