no code implementations • 13 Feb 2024 • Matthieu Nastorg, Jean-Marc Gratien, Thibault Faney, Michele Alessandro Bucci, Guillaume Charpiat, Marc Schoenauer
The proposed GNN-based preconditioner is used to enhance the efficiency of a Krylov method, resulting in a hybrid solver that can converge with any desired level of accuracy.
no code implementations • 29 Nov 2023 • Michele Quattromini, Michele Alessandro Bucci, Stefania Cherubini, Onofrio Semeraro
We present a novel machine learning approach for data assimilation applied in fluid mechanics, based on adjoint-optimization augmented by Graph Neural Networks (GNNs) models.
no code implementations • 6 Feb 2023 • Matthieu Nastorg, Michele Alessandro Bucci, Thibault Faney, Jean-Marc Gratien, Guillaume Charpiat, Marc Schoenauer
This paper presents $\Psi$-GNN, a novel Graph Neural Network (GNN) approach for solving the ubiquitous Poisson PDE problems with mixed boundary conditions.
no code implementations • 30 Nov 2022 • Emmanuel Menier, Michele Alessandro Bucci, Mouadh Yagoubi, Lionel Mathelin, Thibault Dairay, Raphael Meunier, Marc Schoenauer
Reduced order modeling methods are often used as a mean to reduce simulation costs in industrial applications.
no code implementations • 8 Jul 2022 • Emmanuel Menier, Michele Alessandro Bucci, Mouadh Yagoubi, Lionel Mathelin, Marc Schoenauer
This paper proposes a novel approach to domain translation.
no code implementations • 22 Feb 2022 • Emmanuel Menier, Michele Alessandro Bucci, Mouadh Yagoubi, Lionel Mathelin, Marc Schoenauer
Model order reduction through the POD-Galerkin method can lead to dramatic gains in terms of computational efficiency in solving physical problems.