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A note on the approximation of elliptic control problems with bang-bang controls

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Abstract

In the present work we use the variational approach in order to discretize elliptic optimal control problems with bang-bang controls. We prove error estimates for the resulting scheme and present a numerical example which supports our analytical findings.

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Authors and Affiliations

  1. Institut für Analysis und Numerik, Otto-von-Guericke-Universität Magdeburg, Universitätsplatz 2, 39106, Magdeburg, Germany

    Klaus Deckelnick

  2. Schwerpunkt Optimierung und Approximation, Universität Hamburg, Bundesstraße 55, 20146, Hamburg, Germany

    Michael Hinze

Authors
  1. Klaus Deckelnick
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  2. Michael Hinze
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Correspondence to Michael Hinze.

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Deckelnick, K., Hinze, M. A note on the approximation of elliptic control problems with bang-bang controls. Comput Optim Appl 51, 931–939 (2012). https://doi.org/10.1007/s10589-010-9365-z

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  • DOI: https://doi.org/10.1007/s10589-010-9365-z

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