Efficient Techniques for Shape Optimization with Variational Inequalities Using Adjoints

  title={Efficient Techniques for Shape Optimization with Variational Inequalities Using Adjoints},
  author={Daniel Luft and V. Schulz and K. Welker},
  journal={SIAM J. Optim.},
  • Daniel Luft, V. Schulz, K. Welker
  • Published 2020
  • Mathematics, Computer Science
  • SIAM J. Optim.
  • In general, standard necessary optimality conditions cannot be formulated in a straightforward manner for semi-smooth shape optimization problems. In this paper, we consider shape optimization problems constrained by variational inequalities of the first kind, so-called obstacle-type problems. Under appropriate assumptions, we prove existence of adjoints for regularized problems and convergence to limiting objects of the unregularized problem. Moreover, we derive existence and closed form of… CONTINUE READING
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