Path-following for optimal control of stationary variational inequalities

  • Authors:
  • Karl Kunisch;Daniel Wachsmuth

  • Affiliations:
  • Institute for Mathematics and Scientific Computing, Graz, Austria 8010;Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Linz, Austria 4040

  • Venue:
  • Computational Optimization and Applications
  • Year:
  • 2012

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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.