Free Boundary Problems in Applications & Optimal Control
Wann
Donnerstag, 16. Mai 2024
17 bis 0 Uhr
Wo
G201
Veranstaltet von
Vortragende Person/Vortragende Personen:
Prof. Dr. René Pinnau (TU Kaiserslautern)
We present free boundary problems in different areas of application, e.g., automotive industry, f ilter production or film casting. The high nonlinearity of these problems is challenging from the analytical and numerical point of view. In particular, if the free boundary problem is a constraint in an optimal control problem. Here, we will study the production of the fibre material as well as the control of filtration processes. We use the adjoint variables to get the derivative information which is needed for the respective numerical solution. This will yield a nice interplay of analytical techniques and numerical approaches. Finally, we discuss and analyze possible numerical relaxations and approximations, which allow for simpler numerical implementations.