Plenary Lecture

Plenary 2

Michael Hinze (U Hamburg): PDE constrained optimization in engineering applications

Monday, April 18, 2011, 13:30 – 14:15

Solving optimization problems subject to constraints involving distributed parameter systems is one of the most challenging problems in the context of industrial applications. In particular, here the transition from model-based numerical simulations to model-based design and optimal control is crucial.

In the first part of my talk I discuss control problems with PDEs as subsidiary conditions and take special emphasis on

• a proper mathematical setting,
• structure preserving discrete concepts in the presence of pointwise constraints, and on
• structure exploiting solution algorithms.

In the second part I consider model applications dealing with

• flow control,
• control of crystal growth, and with
• semiconductor design.

Numerical examples are presented which demonstrate opportunities of PDE constrained optimization and its scope in engineering applications.