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Discretization Error Estimates for an Optimal Control Problem in a Nonconvex Domain

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • Th. Apel

    (Universität der Bundeswehr München, Institut für Mathematik und Bauinformatik, Fakultät für Bauingenieur- und Vermessungswesen)

  • A. Rösch

    (Austrian Academy of Sciences, Johann Radon Institute for Computational and Applied Mathematics (RICAM))

  • G. Winkler

    (Universität der Bundeswehr München, Institut für Mathematik und Bauinformatik, Fakultät für Bauingenieur- und Vermessungswesen)

Abstract

An optimal control problem for a 2-d elliptic equation and with pointwise control constraints is investigated. The domain is assumed to be polygonal but non-convex. The corner singularities are treated by a priori mesh grading. A second order approximation of the optimal control is constructed by a projection of the discrete adjoint state. Here we summarize the results from [1] and add further numerical tests.

Suggested Citation

  • Th. Apel & A. Rösch & G. Winkler, 2006. "Discretization Error Estimates for an Optimal Control Problem in a Nonconvex Domain," Springer Books, in: Alfredo Bermúdez de Castro & Dolores Gómez & Peregrina Quintela & Pilar Salgado (ed.), Numerical Mathematics and Advanced Applications, pages 299-307, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-34288-5_23
    DOI: 10.1007/978-3-540-34288-5_23
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