MATH Seminar

Title: Model order reduction for parametrized optimal control problems: from time-dependency to nonlinearity.
Seminar: Numerical Analysis and Scientific Computing
Speaker: Maria Strazzullo of Politecnico di Torino, ITALY
Contact: Alessandro Veneziani, ale@mathcs.emory.edu
Date: 2022-10-17 at 10:00AM
Venue: Atwood 360
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Abstract: Parametrized optimal control problems can represent an asset to fill the gap between collected data and partial differential equations in many scientific and industrial applications. Despite their indisputable usefulness, their computational complexity still limits their applicability in many-query and real-time parametric settings, most of all when the problem is time-dependent or nonlinear.\\ \\ We propose reduced order methods as a valid strategy to deal with this issue. The talk focuses on the approaches that provide a low-dimensional framework to accelerate the simulations of the system, maintaining a fair degree of accuracy.\\ \\ The first part of the talk is about the numerical algorithms used to reach this goal. The second part is more related to the applied viewpoint, analyzing the potential of reduced optimal control in many fields, such as bifurcating phenomena and numerical stabilization.