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20222026
most citedGeometry-aware framework for deep energy method: an application to structural mechanics with hyperelastic materials

10 citations · 21 across the 7 of their papers we have counts for

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5 papers · 1 filter

cs.LG2026

Learning features from Newton's algorithm: a way to accelerate nonlinear parametrized PDE solvers

Rémy Vallot, Florian de Vuyst, Thibault Dairay +1

It is well known that Newton's method converges faster when the initial guess is closer to a root of a system of nonlinear equations. In this paper, a two-stage Newton initial gues…

cs.LG2024★ 10 cited

Geometry-aware framework for deep energy method: an application to structural mechanics with hyperelastic materials

Thi Nguyen Khoa Nguyen, Thibault Dairay, Raphaël Meunier +2

Physics-Informed Neural Networks (PINNs) have gained considerable interest in diverse engineering domains thanks to their capacity to integrate physical laws into deep learning mod…

cs.LG2022★ 2 cited

Fixed-budget online adaptive learning for physics-informed neural networks. Towards parameterized problem inference

Thi Nguyen Khoa Nguyen, Thibault Dairay, Raphaël Meunier +2

Physics-Informed Neural Networks (PINNs) have gained much attention in various fields of engineering thanks to their capability of incorporating physical laws into the models. PINN…

cs.LG2022

Continuous Methods : Adaptively intrusive reduced order model closure

Emmanuel Menier, Michele Alessandro Bucci, Mouadh Yagoubi +4

Reduced order modeling methods are often used as a mean to reduce simulation costs in industrial applications. Despite their computational advantages, reduced order models (ROMs) o…

cs.LG2022★ 1 cited

Physics-informed neural networks for non-Newtonian fluid thermo-mechanical problems: an application to rubber calendering process

Thi Nguyen Khoa Nguyen, Thibault Dairay, Raphaël Meunier +1

Physics-Informed Neural Networks (PINNs) have gained much attention in various fields of engineering thanks to their capability of incorporating physical laws into the models. Howe…