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

  • Th. Apel
  • A. Rösch
  • G. Winkler
Conference paper

DOI: 10.1007/978-3-540-34288-5_23

Cite this paper as:
Apel T., Rösch A., Winkler G. (2006) Discretization Error Estimates for an Optimal Control Problem in a Nonconvex Domain. In: de Castro A.B., Gómez D., Quintela P., Salgado P. (eds) Numerical Mathematics and Advanced Applications. Springer, Berlin, Heidelberg

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.

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Copyright information

© Springer 2006

Authors and Affiliations

  • Th. Apel
    • 1
  • A. Rösch
    • 2
  • G. Winkler
    • 1
  1. 1.Institut für Mathematik und Bauinformatik, Fakultät für Bauingenieur- und VermessungswesenUniversität der Bundeswehr MünchenNeubibergGermany
  2. 2.Johann Radon Institute for Computational and Applied Mathematics (RICAM)Austrian Academy of SciencesLinzAustria

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