We discuss distributed and boundary optimal control problems related to parabolic partial differential equations using a discontinuous Galerkin time stepping scheme. In particular, we focus on a Robin boundary optimal control problem for linear parabolic equations, on a distributed optimal control problem for the evolutionary Stokes equations and on some nonlinear optimal control problems arising from Biology. Stability and error estimates are presented for schemes of arbitrary order, under suitable regularity assumptions on the given data. Using suitable projection techniques, we also analyze the case of nonsmooth initial data. Finally, we present numerical examples that verify our theoretical findings, and we discuss computational challenges involved in the numerical solution of the above systems.
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Computational Methods for Optimal Control in Parabolic PDEs and Applications
Research Group:
Dr. Efthymios Karatzas
Institution:
SISSA
Location:
A005
Schedule:
Wednesday, August 30, 2017  15:00
Abstract:
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Upcoming events

Giulia Meglioli
Comparison of model order reduction approaches in parametrized optimal control problems
Wednesday, January 24, 2018  15:00

Francesco Solombrino
Multiscale analysis of singularly perturbed finite dimensional gradient flows: the minimizing movement approach
Wednesday, January 24, 2018  16:00

Enrico Pasqualetto
Towards a notion of parallel transport for metric measure spaces with lower Ricci curvature bounds
Friday, January 26, 2018  14:00

Céline Maistret
Parity of ranks of abelian surfaces
Thursday, February 1, 2018  14:00
Today's Lectures

Stefano Bianchini
09:00 to 11:00

Ludwik Dabrowski
11:00 to 13:00

Nicola Visciglia
11:00 to 13:00

Andrei Agrachev
11:00 to 13:00

Nicola Gigli
14:00 to 16:00

Ugo Bruzzo
14:30 to 16:00
Recent publications

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N. Antonić; K. Burazin; I. Crnjac; M. Erceg,Complex Friedrichs systems and...