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 …

In 1950, van Roosbroeck introduced the fundamental semiconductor device equations as a
system of three nonlinearly coupled partial differential equations (PDEs). They describe the …

This book is devoted to primarily continuous models for a special class of supply chains
often called production or supply networks. The aim is to present a mathematical description …

Ion channels control many biological processes in cells, and, consequently, a large amount
of research is devoted to this topic. Great progress in the understanding of channel function …

An ensemble optimal control problem governed by a semiclassical space-homogeneous
Boltzmann equation for charge transport in graphene is formulated and analyzed. The …

The solution of optimization problems constrained by partial differential equations (PDEs)
plays an important role in many areas of science and industry. In this work we present …

The aim of this paper is to investigate stability of an isothermal glass tube drawing process
through control parameters by the method of linear stability analysis. We want to see how …

We consider a supply network where the flow of parts can be controlled at the vertices of the
network. Based on a coarse grid discretization provided in [6] we derive discrete adjoint …

This paper presents a new approach to the design of semiconductor devices, which leads to
fast optimization methods whose numerical effort is of the same order as a single forward …

We consider the optimization of a chemical microchannel reactor by means of PDE-
constrained optimization techniques, using the example of the Sabatier reaction. To model …