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ORCIDEmmanuel Franck
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2020 – today
- 2024
[j7]Emmanuel Franck, Victor Michel-Dansac
, Laurent Navoret:
Approximately well-balanced Discontinuous Galerkin methods using bases enriched with Physics-Informed Neural Networks. J. Comput. Phys. 512: 113144 (2024)- [i7]Joubine Aghili, Emmanuel Franck, Romain Hild, Victor Michel-Dansac, Vincent Vigon:
Accelerating the convergence of Newton's method for nonlinear elliptic PDEs using Fourier neural operators. CoRR abs/2403.03021 (2024) - [i6]Camilla Fiorini, Clément Flint, Louis Fostier, Emmanuel Franck, Reyhaneh Hashemi, Victor Michel-Dansac, Wassim Tenachi:
Generalizing the SINDy approach with nested neural networks. CoRR abs/2404.15742 (2024) - [i5]Amaury Bélières--Frendo, Emmanuel Franck, Victor Michel-Dansac, Yannick Privat:
Volume-preserving physics-informed geometric shape optimization of the Dirichlet energy. CoRR abs/2407.19064 (2024) - 2023
- [j6]Hubert Baty, Florence Drui, Philippe Helluy, Emmanuel Franck, Christian Klingenberg, Lukas Thanhäuser:
A robust and efficient solver based on kinetic schemes for Magnetohydrodynamics (MHD) equations. Appl. Math. Comput. 440: 127667 (2023) - [i4]Léo Bois, Emmanuel Franck, Laurent Navoret, Vincent Vigon:
An optimal control deep learning method to design artificial viscosities for Discontinuous Galerkin schemes. CoRR abs/2309.11795 (2023) - [i3]Emmanuel Franck, Victor Michel-Dansac, Laurent Navoret:
Approximately well-balanced Discontinuous Galerkin methods using bases enriched with Physics-Informed Neural Networks. CoRR abs/2310.14754 (2023) - [i2]Raphaël Côte, Emmanuel Franck, Laurent Navoret, Guillaume Steimer, Vincent Vigon:
Hamiltonian reduction using a convolutional auto-encoder coupled to an Hamiltonian neural network. CoRR abs/2311.06104 (2023) - 2020
- [j5]François Bouchut, Emmanuel Franck, Laurent Navoret:
A Low Cost Semi-implicit Low-Mach Relaxation Scheme for the Full Euler Equations. J. Sci. Comput. 83(1): 24 (2020) - [i1]Léo Bois, Emmanuel Franck, Laurent Navoret, Vincent Vigon:
A neural network closure for the Euler-Poisson system based on kinetic simulations. CoRR abs/2011.06242 (2020)
2010 – 2019
- 2017
- [j4]Christophe Buet, Bruno Després, Emmanuel Franck, Thomas Leroy:
Proof of uniform convergence for a cell-centered AP discretization of the hyperbolic heat equation on general meshes. Math. Comput. 86(305): 1147-1202 (2017) - 2016
- [j3]Emmanuel Franck, Laura S. Mendoza:
Finite Volume Scheme with Local High Order Discretization of the Hydrostatic Equilibrium for the Euler Equations with External Forces. J. Sci. Comput. 69(1): 314-354 (2016) - 2015
- [j2]Christophe Buet, Bruno Després, Emmanuel Franck:
Asymptotic Preserving Schemes on Distorted Meshes for Friedrichs Systems with Stiff Relaxation: Application to Angular Models in Linear Transport. J. Sci. Comput. 62(2): 371-398 (2015) - 2012
- [j1]Christophe Buet, Bruno Després, Emmanuel Franck:
Design of asymptotic preserving finite volume schemes for the hyperbolic heat equation on unstructured meshes. Numerische Mathematik 122(2): 227-278 (2012)
Coauthor Index
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