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.
You are here
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:
Openings
 Public calls for academic personnel (Permanent positions)
 Professors (Temporary/Researchers/Visiting Professors)
 SISSA Mathematical Fellowships
 Post Doctoral Fellowships
 PhD Scholarships
 Call for Applications (PhD)
 Undergraduate Fellowships
 Postgraduate Fellowships
 Master of Science in Mathematics
 Marie SklodowskaCurie Grants
Upcoming events

Bartosz Kosma Kwasniewski
Invitation to Hilbert C*modules and CuntzPimsner algebras
Monday, May 28, 2018  14:30

Antoine Doeraene
The Airy point process and a system of coupled Painlevé II equations
Monday, May 28, 2018  16:00

Pieter Roffelsen
Singularities of Painlevé IV transcendents
Wednesday, May 30, 2018  16:00

Livia Corsi
Periodic Driving at High Frequencies of an Impurity in the Isotropic XY Chain
Monday, June 4, 2018  14:30
Today's Lectures

Giovanni Bellettini
10:00 to 14:00

Gianluigi Rozza
14:00 to 16:30
Recent publications

G. Dal Maso; G. Franzina; D. Zucco,Transmission conditions obtain...

G. Dal Maso; C.J. Larsen; R. Toader,Existence for elastodynamic Gr...

F. Cagnetti; G. Dal Maso; L. Scardia; C.I. Zeppieri,Stochastic homogenisation of f...

A. Michelangeli; P.Thanh Nam; A. Olgiati,Ground state energy of mixture...