Diff. Geom, Math. Phys., PDE Seminar: Enrique Zuazua
Topic
Flow control in the presence of shocks
Speakers
Details
In this talk we present some joint work in collaboration with C. Castro (UPM, Madrid), R. Lecaros (CMM- Chile) and F. Palacios (Stanford) on flow control.
We address a classical optimal control problem of inverse design, aiming to identify the initial source leading to a desired final configuration.
First, in the one-dimensional case, we explain why classical strategies, based on linearization methods, fail, because of the lack of regularity of solutions. We then introduce an alternating descent method that exploits the generalized gradients that take into account the sensitivity of the smooth arcs of the solutions but also of shock locations.
We compare the performance of the method with classical purely discrete strategies through various numerical experiments.
We also address the multi-dimensional case and point towards perspectives of future development.
Additional Information
Location: ESB 2012
Enrique Zuazua, Basque Center for Applied Mathematics
Enrique Zuazua, Basque Center for Applied Mathematics
This is a Past Event
Event Type
Scientific, Seminar
Date
February 4, 2014
Time
-
Location