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:
Openings
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Geometric interpolation inequalities: from Riemannian to subRiemannian geometry
Thursday, November 23, 2017  11:30

Francesco Boarotto
Bounds on the loss of regularity of timeoptimal trajectories of generic control affine systems
Thursday, November 23, 2017  15:00 to 16:30

Marta Strani
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Monday, November 27, 2017  14:30

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Wednesday, November 29, 2017  16:00
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