Solving optimization problems subject to constraints given in terms of partial d-ferential
equations (PDEs) with additional constraints on the controls and/or states is one of the most …

This paper addresses complementarity problems motivated by constrained optimal control
problems. It is shown that the primal-dual active set strategy, which is known to be extremely …

This book provides a comprehensive treatment of a very successful class of methods for
solving optimization problems with PDE and inequality constraints as well as variational …

Die mathematische Optimierung von Vorgängen, die durch partielle Differentialgleichungen
modelliert werden, hat in den letzten Jahren einen beachtlichen Aufschwung genommen …

Elliptic optimal control problems with L 1-control cost are analyzed. Due to the nonsmooth
objective functional the optimal controls are identically zero on large parts of the control …

We develop a semismoothness concept for nonsmooth superposition operators in function
spaces. The considered class of operators includes nonlinear complementarity problem …

Do you know the difference between an optimist and a pessimist? The former believes we
live in the best possible world, and the latter is afraid that the former might be right.… In that …

For a class of semismooth operator equations a mesh independence result for generalized
Newton methods is established. The main result states that the continuous and the discrete …

We develop and analyze a class of trust-region methods for bound-constrained semismooth
systems of equations. The algorithm is based on a simply constrained differentiable …

PDE-constrained optimization refers to the optimization of systems governed by PDEs. The
simulation problem is to solve the PDEs for the state variables (eg, displacement, velocity …