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Path-following for optimal control of stationary variational inequalities

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Abstract

Moreau-Yosida based approximation techniques for optimal control of variational inequalities are investigated. Properties of the path generated by solutions to the regularized equations are analyzed. Combined with a semi-smooth Newton method for the regularized problems these lead to an efficient numerical technique.

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Authors and Affiliations

  1. Institute for Mathematics and Scientific Computing, Heinrichstraße 36, 8010, Graz, Austria

    Karl Kunisch

  2. Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Altenbergerstraße 69, 4040, Linz, Austria

    Daniel Wachsmuth

Authors
  1. Karl Kunisch
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  2. Daniel Wachsmuth
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Corresponding author

Correspondence to Daniel Wachsmuth.

Additional information

K. Kunisch was partially supported by ‘Fonds zur Förderung der Wissenschaftlichen Forschung’ under SFB 32, Mathematical Optimization and Applications in the Biomedical Sciences.

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Kunisch, K., Wachsmuth, D. Path-following for optimal control of stationary variational inequalities. Comput Optim Appl 51, 1345–1373 (2012). https://doi.org/10.1007/s10589-011-9400-8

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  • DOI: https://doi.org/10.1007/s10589-011-9400-8

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