no code implementations • 6 May 2024 • Thi Nguyen Khoa Nguyen, Thibault Dairay, Raphaël Meunier, Christophe Millet, Mathilde Mougeot
In this work, we introduce a novel physics-informed framework named the Geometry-Aware Deep Energy Method (GADEM) for solving structural mechanics problems on different geometries.
2 code implementations • 22 Dec 2022 • Thi Nguyen Khoa Nguyen, Thibault Dairay, Raphaël Meunier, Christophe Millet, Mathilde Mougeot
We show that FBOAL is able to identify the high-gradient locations and even give better predictions for some physical fields than the classical PINNs with collocation points sampled on a pre-adapted finite element mesh built thanks to numerical expert knowledge.
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 • 31 Jan 2022 • Thi Nguyen Khoa Nguyen, Thibault Dairay, Raphaël Meunier, Mathilde Mougeot
We also investigate the capability of PINNs to identify unknown physical parameters from the measurements captured by sensors.