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

Alberto Maspero
Birkhoff coordinates for the Toda lattice in the limit of infinitely many particles with an application to FPU
Monday, March 19, 2018  10:00

Koen van den Dungen
The Kasparov product on open manifolds
Monday, March 19, 2018  14:00 to 15:30

Simone Di Marino
Sobolev spaces and nonlocal functionals in metric measure spaces
Tuesday, March 20, 2018  16:00

Lothar Göttsche
Virtual topological invariants of moduli spaces
Thursday, March 22, 2018  14:00
Today's Lectures

Stefano Bianchini
09:00 to 11:00

Marcello Porta (University of Tubingen)
11:00 to 13:00

Nicola Gigli
14:00 to 16:00
Recent publications

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