Victor Michel-Dansac

28
Documents

Publications

Publications

Image document

Volume-Preserving Geometric Shape Optimization of the Dirichlet Energy Using Variational Neural Networks

Amaury Bélières--Frendo , Emmanuel Franck , Victor Michel-Dansac , Yannick Privat
Neural Networks, 2025, 184, pp.106957. ⟨10.1016/j.neunet.2024.106957⟩
Article dans une revue hal-04663197 v3
Image document

Accelerating the convergence of Newton's method for nonlinear elliptic PDEs using Fourier neural operators

Joubine Aghili , Romain Hild , Victor Michel-Dansac , Vincent Vigon , Emmanuel Franck
Communications in Nonlinear Science and Numerical Simulation, 2025, 140 (2), pp.108434. ⟨10.1016/j.cnsns.2024.108434⟩
Article dans une revue hal-04440076 v4
Image document

Parallel kinetic schemes for conservation laws, with large time steps

Pierre Gerhard , Philippe Helluy , Victor Michel-Dansac , Bruno Weber
Journal of Scientific Computing, 2024, 99 (1), ⟨10.1007/s10915-024-02468-7⟩
Article dans une revue hal-03910307 v2
Image document

Approximately well-balanced Discontinuous Galerkin methods using bases enriched with Physics-Informed Neural Networks

Emmanuel Franck , Victor Michel-Dansac , Laurent Navoret
Journal of Computational Physics, 2024, ⟨10.1016/j.jcp.2024.113144⟩
Article dans une revue hal-04246991 v4
Image document

A fully well-balanced hydrodynamic reconstruction

Christophe Berthon , Victor Michel-Dansac
Journal of Numerical Mathematics, 2024, ⟨10.1515/jnma-2023-0065⟩
Article dans une revue hal-04083181 v2
Image document

TVD-MOOD schemes based on implicit explicit time integration

Victor Michel-Dansac , Andrea Thomann
Applied Mathematics and Computation, 2022, 433, pp.127397. ⟨10.1016/j.amc.2022.127397⟩
Article dans une revue hal-02494767 v6
Image document

Unconditionally stable and parallel Discontinuous Galerkin solver

Pierre Gerhard , Philippe Helluy , Victor Michel-Dansac
Computers & Mathematics with Applications, 2022, 112, pp.116-137. ⟨10.1016/j.camwa.2022.02.015⟩
Article dans une revue hal-03218086 v3
Image document

A very easy high-order well-balanced reconstruction for hyperbolic systems with source terms

Christophe Berthon , Solène Bulteau , Françoise Foucher , Meissa M'Baye , Victor Michel-Dansac
SIAM Journal on Scientific Computing, 2022, 44 (4), pp.A2506-A2535. ⟨10.1137/21M1429230⟩
Article dans une revue hal-03271103 v2
Image document

Consistent section-averaged shallow water equations with bottom friction

Victor Michel-Dansac , Pascal Noble , Jean-Paul Vila
European Journal of Mechanics - B/Fluids, 2021, 86, pp.123-149. ⟨10.1016/j.euromechflu.2020.12.005⟩
Article dans une revue hal-01962186 v3
Image document

A two-dimensional high-order well-balanced scheme for the shallow water equations with topography and Manning friction

Victor Michel-Dansac , Christophe Berthon , Stéphane Clain , Françoise Foucher
Computers and Fluids, 2021, 230, pp.105152. ⟨10.1016/j.compfluid.2021.105152⟩
Article dans une revue hal-02536791 v2
Image document

Second order Implicit-Explicit Total Variation Diminishing schemes for the Euler system in the low Mach regime

Giacomo Dimarco , Raphaël Loubère , Victor Michel-Dansac , Marie-Hélène Vignal
Journal of Computational Physics, 2018, 372, pp.178 - 201. ⟨10.1016/j.jcp.2018.06.022⟩
Article dans une revue hal-01620627 v2
Image document

A simple fully well-balanced and entropy preserving scheme for the shallow-water equations

Christophe Berthon , Victor Michel-Dansac
Applied Mathematics Letters, 2018, 86, pp.284-290. ⟨10.1016/j.aml.2018.07.013⟩
Article dans une revue hal-01708991 v2
Image document

A well-balanced scheme for the shallow-water equations with topography or Manning friction

Victor Michel-Dansac , Christophe Berthon , Stéphane Clain , Françoise Foucher
Journal of Computational Physics, 2017, 335, pp.115-154. ⟨10.1016/j.jcp.2017.01.009⟩
Article dans une revue hal-01247813 v2
Image document

A well-balanced scheme for the shallow-water equations with topography

Victor Michel-Dansac , Christophe Berthon , Stéphane Clain , Françoise Foucher
Computers & Mathematics with Applications, 2016, 72, pp.568 - 593. ⟨10.1016/j.camwa.2016.05.015⟩
Article dans une revue hal-01201825 v2
Image document

Preface

Emmanuel Franck , Jürgen Fuhrmann , Victor Michel-Dansac , Laurent Navoret
Finite Volumes for Complex Applications X—Volume 1, Elliptic and Parabolic Problems, 432, Springer Nature Switzerland, 2023, Springer Proceedings in Mathematics & Statistics, 978-3-031-40863-2. ⟨10.1007/978-3-031-40864-9⟩
Chapitre d'ouvrage hal-04270231 v1
Image document

Preface

Emmanuel Franck , Jürgen Fuhrmann , Victor Michel-Dansac , Laurent Navoret
Finite Volumes for Complex Applications X—Volume 2, Hyperbolic and Related Problems, 433, Springer Nature Switzerland, 2023, Springer Proceedings in Mathematics & Statistics, 978-3-031-40859-5. ⟨10.1007/978-3-031-40860-1⟩
Chapitre d'ouvrage hal-04270236 v1
Image document

Development of high-order well-balanced schemes for geophysical flows

Victor Michel-Dansac
Numerical Analysis [math.NA]. Université de Nantes, Faculté des sciences et des techniques., 2016. English. ⟨NNT : ⟩
Thèse tel-01384958 v1