- Gerd Wachsmuth, TU Chemnitz
"Optimal control of time-dependent variational inequalities"
physical phenomena can be modeled by time-dependent (and in particular
rate-independent) variational inequalities. These processes include
the forward problem involves a variational inequality (or, after
reformulation, a complementarity condition), the optimization of such
processes yields infinite dimensional Mathematical Programs with
- hysteresis effects in plasticity or (ferro)-magnetics,
- phase field models approximating moving interfaces and phase transitions, and
- sweeping processes in the sense of Moreau.
Equilibrium Constraints (MPECs) or Mathematical Programs with Complementarity Constraints (MPCCs).
is well known that the structure of such optimization problems yields
severe difficulties in the theoretical treatment as well as in