JournalsifbVol. 16, No. 4pp. 459–487

A bilevel shape optimization problem for the exterior Bernoulli free boundary value problem

  • Henry Kasumba

    for Computational and Applied Mathematics, Linz, Austria
  • Karl Kunisch

    Karl-Franzens-Universität Graz, Austria
  • Antoine Laurain

    TU Berlin, Germany
A bilevel shape optimization problem for the exterior Bernoulli free boundary value problem cover
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Abstract

A bilevel shape optimization problem with the exterior Bernoulli free boundary problem as lower-level problem and the control of the free boundary as the upper-level problem is considered. Using the shape of the inner boundary as the control, we aim at reaching a specific shape for the free boundary. A rigorous sensitivity analysis of the bilevel shape optimization in the infinite-dimensional setting is performed. The numerical realization using two different cost functionals presented in this paper demonstrate the efficiency of the approach.

Cite this article

Henry Kasumba, Karl Kunisch, Antoine Laurain, A bilevel shape optimization problem for the exterior Bernoulli free boundary value problem. Interfaces Free Bound. 16 (2014), no. 4, pp. 459–487

DOI 10.4171/IFB/326