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 …

Large-scale optimization of systems governed by partial differential equations (PDEs) is a
frontier problem in scientific computation. Reduced quasi-Newton sequential quadratic …

This is a book on Optimal Control Problems (OCPs): how to formulate them, how to set up a
suitable mathematical framework for their analysis, how to approximate them numerically …

Second order methods for open loop optimal control problems governed by the two-
dimensional instationary Navier--Stokes equations are investigated. Optimality systems …

The numerical solution of optimization problems governed by partial differential equations
(PDEs) with random coefficients is computationally challenging because of the large number …

The construction of reduced order models for dynamical systems using proper orthogonal
decomposition (POD) is based on the information contained in so-called snapshots. These …

The generalized empirical interpolation method (GEIM) can be used to estimate the physical
field by combining observation data acquired from the physical system itself and a reduced …

Control and optimization of systems or processes in industry is a challenging field, since
appropriate mathematical modelling often leads to optimization problems where the …

A central theme of applied mathematics is the design of accurate mathematical models for a
variety of technical, financial, medical, and many other applications, and the development of …

In this paper we study optimal control of the Navier–Stokes equations when the control acts
as a pointwise constrained boundary condition of Dirichlet type. The problem is analyzed in …