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 …

The optimization and control of systems governed by partial differential equations (PDEs)
usually requires numerous evaluations of the forward problem or the optimality system …

Building a representative model of a complex dynamical system from empirical evidence
remains a highly challenging problem. Classically, these models are described by systems …

We study barrier methods for state constrained optimal control problems with PDEs. The
focus of our analysis is the path of minimizers of the barrier subproblems with the aim to …

Topology optimization problems often support multiple local minima due to a lack of
convexity. Typically, gradient-based techniques combined with continuation in model …

The prevalence of uncertainty in models of engineering and the natural sciences
necessitates the inclusion of random parameters in the underlying partial differential …

Building upon the results in [M. Hintermüller and T. Surowiec, Pac. J. Optim., 9 (2013), pp.
251--273], a class of noncooperative Nash equilibrium problems is presented, in which the …

Interior point methods provide an attractive class of approaches for solving linear, quadratic
and nonlinear programming problems, due to their excellent efficiency and wide …

Partial differential equation (PDE)–constrained optimization problems with control or state
constraints are challenging from an analytical and numerical perspective. The combination …

Moreau-Yosida based approximation techniques for optimal control of variational
inequalities are investigated. Properties of the path generated by solutions to the regularized …