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Recent Advances in Mesh Adaptivity for Optimal Control Problems

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Fast Solution of Discretized Optimization Problems

Part of the book series: ISNM International Series of Numerical Mathematics ((ISNM,volume 138))

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Abstract

In this work, we present a brief review on recent developments on adaptive finite element method for optimal control problems. We review some current approaches commonly used in adaptive finite element method, and further discuss the main obstacles in applying these approaches to finite element approximation of optimal control problems. We then discuss some recent progress in this area and possible future research. In particular, we report upon the recent advances made by the research groups in Kent and Heidelberg.

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Authors
  1. WenBin Liu
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Editor information

Editors and Affiliations

  1. Center of Advanced European Studies and Research (caesar), Friedensplatz 16, Bonn, 53111, Germany

    Karl-Heinz Hoffmann

  2. Lehrstuhl für Angewandte Analysis mit Schwerpunkt Numerik, Universität Augsburg, Universitätsstr. 14, Augsburg, 86159, Germany

    Ronald H. W. Hoppe

  3. Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstrasse 39, Berlin, 10117, Germany

    Volker Schulz

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© 2001 Springer Basel AG

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Liu, W. (2001). Recent Advances in Mesh Adaptivity for Optimal Control Problems. In: Hoffmann, KH., Hoppe, R.H.W., Schulz, V. (eds) Fast Solution of Discretized Optimization Problems. ISNM International Series of Numerical Mathematics, vol 138. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8233-0_12

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  • DOI: https://doi.org/10.1007/978-3-0348-8233-0_12

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9484-5

  • Online ISBN: 978-3-0348-8233-0

  • eBook Packages: Springer Book Archive

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