Seminar by Tommaso Taddei

Speaker

Tommaso Taddei (INRIA Bordeaux Sud-Ouest)

Title

One-shot domain-decomposition methods for component-based model order reduction

Date

• March 28, 2023 16:00 CEST+0200 (Europe/Rome)

• March 28, 2023 10:00 EDT-0400 (US/Eastern)

• March 28, 2023 09:00 CDT-0500 (US/Central)

• March 28, 2023 07:00 PDT-0700 (US/Pacific)

Abstract

We discuss the development of optimization-based (one-shot) procedures for component-based (CB) model order reduction (MOR) of parametric nonlinear PDEs. We first devise a constrained optimization procedure that minimizes jumps at components’ interfaces subject to the (approximate) satisfaction of the PDE in each component. Then, we introduce suitable low-dimensional control variables to recast the optimization problem into an unconstrained nonlinear least-square problem that can be effectively solved using the Gauss-Newton method (GNM). We consider both overlapping and non-overlapping domain partitions; furthermore, we apply our method to a nonlinear neo-Hookean problem and to an incompressible Navier-Stokes problem, to demonstrate its effectiveness.

Recording

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