Challenges in Optimization with Complex PDE-Systems

  • Michael Hintermüller

    Weierstrass-Institut für Angewandte Analysis und Stochastik, Berlin, Germany
  • Karl Kunisch

    Karl-Franzens-Universität Graz, Austria
  • Günter Leugering

    FAU Erlangen-Nürnberg, Germany
  • Elisabetta Rocca

    Università degli Studi di Pavia, Italy

Abstract

The workshop concentrated on various aspects of optimization problems with systems of nonlinear partial differential equations (PDEs) or variational inequalities (VIs) as constraints. In particular, discussions around several keynote presentations in the areas of optimal control of nonlinear or non-smooth systems, optimization problems with functional and discrete or switching variables leading to mixed integer nonlinear PDE constrained optimization, shape and topology optimization, feedback control and stabilization, multi-criteria problems and multiple optimization problems with equilibrium constraints as well as versions of these problems under uncertainty or stochastic influences, and the respectively associated numerical analysis as well as design and analysis of solution algorithms were promoted. Moreover, aspects of optimal control of data-driven PDE constraints (e.g. related to machine learning) were addressed.

Cite this article

Michael Hintermüller, Karl Kunisch, Günter Leugering, Elisabetta Rocca, Challenges in Optimization with Complex PDE-Systems. Oberwolfach Rep. 18 (2021), no. 1, pp. 419–506

DOI 10.4171/OWR/2021/9