no code implementations • 26 Aug 2023 • Moaad Khamlich, Federico Pichi, Gianluigi Rozza
To overcome this limitation, we propose a novel ROM framework that integrates optimal transport (OT) theory and neural network-based methods.
1 code implementation • 15 May 2023 • Federico Pichi, Beatriz Moya, Jan S. Hesthaven
Here, we develop a non-intrusive and data-driven nonlinear reduction approach, exploiting GNNs to encode the reduced manifold and enable fast evaluations of parametrized PDEs.
no code implementations • 22 Sep 2021 • Federico Pichi, Francesco Ballarin, Gianluigi Rozza, Jan S. Hesthaven
This work deals with the investigation of bifurcating fluid phenomena using a reduced order modelling setting aided by artificial neural networks.