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[00680] Computing p-Harmonic Descent Directions for Shape Optimization

  • Session Time & Room : 4E (Aug.24, 17:40-19:20) @F403
  • Type : Contributed Talk
  • Abstract : Recent development in shape optimization suggests enhanced results by using a $p$-harmonic approach to determine descent directions. Therefore, we present the extension of an algorithm to solve the occurring vector-valued $p$-Laplace problem subject to a boundary force without requiring an iteration over the order $p$ and thus compute higher-order solutions efficiently. Results are verified by numerical experiments in a fluid dynamic setting.
  • Classification : 49Q10, 49M41
  • Format : Talk at Waseda University
  • Author(s) :
    • Henrik Wyschka (University of Hamburg)
    • Martin Siebenborn (University of Hamburg)
    • Winnifried Wollner (University of Hamburg)