Optimization and control problems governed by nonlinear partial differential equations
are important for many applications, for instance in phase transitions, fluid dynamics,
thermodynamics, and diffusion processes. They have attracted increasing attention in the
past years. In particular, first order necessary and second order sufficient optimality
conditions were extended to this class of problems. Paralleling these investigations, new
numerical methods were developed. Nonconvexity and the large dimension of the discretized
problems are the main features making their numerical treatment a great challenge. This
minisymposium will focus on numerical methods for optimization problems governed by partial
differential equations of parabolic and elliptic type.
Organizer: Fredi Troltzsch,Technical
University of Chemnitz, Germany
- Domain Optimization for Navier Stokes Equations by Embedding Domain Techniques
- Karl Kunisch, Technische Universitat Berlin, Germany
- On Numerical Methods for Boundary Control Problems of the Heat Equation
- Craig Carthel, Johannes Kepler Universitat Linz, Austria
- Second Order Sufficient Optimality Conditions and Numerical Treatment of
Elliptic Boundary Control Problems
- Andreas Unger, Technical University of Chemnitz, Germany
- Numerical Solution of Parabolic Boundary Control Problems by SQP-Methods
- Fredi Troltzsch, Organizer
LMH, 3/15/96