Johannes Kepler Symposium für Mathematik

Im Rahmen des Johannes-Kepler-Symposiums für Mathematik wird Prof. Dr. Volker Mehrmann, Institut für Mathematik, Technische Universität Berlin, am Thu, Jan. 16, 2014 um 14:00 Uhr im S2 416 einen öffentlichen Vortrag (mit anschließender Diskussion) zum Thema "Optimal control of flow problems via the discretization of transfer operators" halten, zu dem die Veranstalter des Symposiums,

O.Univ.-Prof. Dr. Ulrich Langer,
Univ.-Prof. Dr. Gerhard Larcher
A.Univ.-Prof. Dr. Jürgen Maaß, und
die ÖMG (Österreichische Mathematische Gesellschaft)

hiermit herzlich einladen.

Series B - Mathematical Colloquium:

The intention is to present new mathematical results for an audience interested in general mathematics.

Optimal control of flow problems via the discretization of transfer operators

In the practical approach to optimal control of non-stationary partial
differential-equations, a typical procedure is to first discretize the
forward problem, then to carry out a model order reduction and to
perform the optimization on the reduced order model. Although this works
very well for many parabolic problems, it quickly gets to its limits due
to the costs of the model reduction process. In classical control
engineering, instead one uses a small surrogate model that is produced
from measured input/output data via a realization and applies the
optimal control in a feedback look or other local approaches. In this
talk we present a concept that uses a direct Galerkin/Petrov Galerkin
discretization of the input/output map that can be adapted to the
behavior of the transfer operator to obtain reduced order models and to
use in optimal control of flow problems. We present some analytic
results that show that in this way the error between space, time and
transfer operator discretization can be balanced and present several
numerical examples of successful applications of this technique.