@unpublished{Grimm2015Numer-30103,
  year={2015},
  title={Numerical Analysis of Optimality-System POD for Constrained Optimal Control},
  author={Grimm, Eva and Gubisch, Martin and Volkwein, Stefan},
  note={Beitrag wird veröffentlicht in "Lecture Notes in Computational Science and Engineering"}
}

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    <dcterms:abstract xml:lang="eng">In this work linear-quadratic optimal control problems for parabolic equa- tions with control and state constraints are considered. Utilizing a Lavrentiev regu- larization we obtain a linear-quadratic optimal control problem with mixed control- state constraints. For the numerical solution a Galerkin discretization is applied uti- lizing proper orthogonal decomposition (POD). Based on a perturbation method it is determined by a-posteriori error analysis how far the suboptimal control, com- puted on the basis of the POD method, is from the (unknown) exact one. POD basis updates are computed by optimality-system POD. Numerical examples illustrate the theoretical results for control and state constrained optimal control problems.</dcterms:abstract>
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    <dcterms:title>Numerical Analysis of Optimality-System POD for Constrained Optimal Control</dcterms:title>
    <dc:contributor>Grimm, Eva</dc:contributor>
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    <dc:creator>Grimm, Eva</dc:creator>
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    <dc:creator>Volkwein, Stefan</dc:creator>
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