Dear colleague,

It#s a pleasure to announce the next PH seminar talk on  Wednesday, November 5, 4 pm (CEST) with a talk by Manuel Schaller (TU Chemnitz) on:


Exploiting port-Hamiltonian and dissipative structures in numerical optimal control of PDEs


Abstract: In this talk, we explore several ways to leverage (port-)Hamiltonian structures in the solution of optimal control problems.
We first present a novel time-domain decomposition strategy. Therein, the optimality system is formulated as a sum of dissipative operators, which enables a Peaceman–Rachford and Dougla-Rachford-type fixed-point iterations in function space. The resulting subproblems correspond to local optimal control problems on shorter time horizons and can be solved in parallel. Using the dissipativity of the formulation, we establish convergence of the method.

In the second part, we focus on tailored iterative solvers for linear systems arising from the discretization of port-Hamiltonian optimal control problems. In particular, we will inspect Krylov subspace methods that utilize the symmetric part of the operator as a preconditioner to guarantee mesh-independent convergence.

We illustrate our results by means of various large-scale problems from fluid mechanics, elasticity or advection-diffusion phenomena.

You can participate via the following Zoom-Link

Meeting-ID: 687 5689 8101
Password:mV0dd94q
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