Seminar by Ricardo Reyes

Speaker

Ricardo Reyes (École Polytechnique Fédérale de Lausanne)

Title

The Frequency Reduced Basis method, the Laplace transform and Reduced Order Models for time-dependent problems

Date

• November 07, 2023 16:00 CET+0100 (Europe/Rome)

• November 07, 2023 10:00 EST-0500 (US/Eastern)

• November 07, 2023 09:00 CST-0600 (US/Central)

• November 07, 2023 07:00 PST-0800 (US/Pacific)

Abstract

In this talk I present a new method to incorporate temporal evolution into general reduced-order parametrised models. Instead of following the traditional approach of time step sampling, we use frequency-domain solutions as the data input. The method works similarly as the Proper Orthogonal Decomposition with some key differences. In the offline stage, we transfer the problem from the time domain to the frequency domain using the Laplace transform, we sample solutions for a discrete set of frequencies, and use the Singular Valued Decomposition to construct a reduced basis. And in the online stage, we use the obtained reduced basis in the time-dependent problem. We discuss two important considerations: how to select appropriate sampling points so all the needed frequencies are captured, and how the method generates reduced bases with orthogonal, complex and symplectic structure.

Recording

Watch the recording on our YouTube channel.