Victor Michel-Dansac

Publications

Article dans une revue (18)

Neural semi-Lagrangian method for high-dimensional advection-diffusion problems Emmanuel Franck,Victor Michel-Dansac,Laurent Navoret,Vincent Vigon Computer Methods in Applied Mechanics and Engineering, 2026, 448 (B), pp.118481. ⟨10.1016/j.cma.2025.118481⟩ Article dans une revue hal-05051195v4
Towards a fully well-balanced and entropy-stable scheme for the Euler equations with gravity: preserving isentropic steady solutions Christophe Berthon,Victor Michel-Dansac,Andrea Thomann Mathematics of Computation, 2026, 95 (359), pp.1251-1292. ⟨10.1090/mcom/4088⟩ Article dans une revue hal-04620125v2
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-04663197v3
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-04440076v4
Towards a fully well-balanced and entropy-stable scheme for the Euler equations with gravity: General equations of state Victor Michel-Dansac,Andrea Thomann Computers and Fluids, 2025, 303, pp.106853. ⟨10.1016/j.compfluid.2025.106853⟩ Article dans une revue hal-04754477v4
A high-order, fully well-balanced, unconditionally positivity-preserving finite volume framework for flood simulations Mirco Ciallella,Lorenzo Micalizzi,Victor Michel-Dansac,Philipp Öffner,Davide Torlo GEM - International Journal on Geomathematics, 2025, 16 (6), ⟨10.1007/s13137-025-00262-7⟩ Article dans une revue hal-04466602v2
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-03910307v2
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-04246991v4
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-04083181v2
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-02494767v6
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-03271103v2
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-03218086v3
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-02536791v2
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-01962186v3
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-01620627v2
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-01708991v2
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-01247813v2
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-01201825v2

Communication dans un congrès (5)

Generalizing the SINDy approach with nested neural networks Camilla Fiorini,Clément Flint,Louis Fostier,Emmanuel Franck,Reyhaneh Hashemiet al. CEMRACS 2023 - Scientific Machine Learning, Jul 2023, Marseille (CIRM, Centre International de Rencontres Mathématiques), France. pp.168-192, ⟨10.1051/proc/202581168⟩ Communication dans un congrès hal-04557263v2
Neural network-driven domain decomposition for efficient solutions to the Helmholtz equation Victorita Dolean,Daria Hrebenshchykova,Stéphane Lanteri,Victor Michel-Dansac DD 2025 - XXIX International Conference on Domain Decomposition Methods in Science and Engineering, Jun 2025, Milano, Italy Communication dans un congrès hal-05373220v2
On high-precision L&lt;sup&gt;∞&lt;/sup&gt;-stable IMEX schemes for scalar hyperbolic multi-scale equations Victor Michel-Dansac,Andrea Thomann Recent Advances in Numerical methods for Hyperbolic PDE Systems. Selected talks of Numhyp 2019, Jun 2019, Málaga, Spain. ⟨10.1007/978-3-030-72850-2_4⟩ Communication dans un congrès hal-02303491v3
A second-order well-balanced scheme for the shallow-water equations with topography Christophe Berthon,Raphaël Loubère,Victor Michel-Dansac HYP2016, Aug 2016, Aachen, Germany. pp.165--177, ⟨10.1007/978-3-319-91545-6_13⟩ Communication dans un congrès hal-01513186v1
A conservative well-balanced hybrid SPH scheme for the shallow-water model Christophe Berthon,Matthieu de Leffe,Victor Michel-Dansac FVCA VII, Jun 2014, Berlin, Germany. pp.817-825, ⟨10.1007/978-3-319-05591-6_82⟩ Communication dans un congrès hal-00960982v1

Chapitre d'ouvrage (2)

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-04270231v1
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-04270236v1

Pré-publication, Document de travail (2)

Enriching continuous Lagrange finite element approximation spaces using neural networks Hélène Barucq,Michel Duprez,Florian Faucher,Emmanuel Franck,Frédérique Lecourtieret al. 2025 Pré-publication, Document de travail hal-04935072v4
Structural schemes for Hamiltonian systems Stéphane Clain,Emmanuel Franck,Victor Michel-Dansac 2025 Pré-publication, Document de travail hal-04911125v1

Rapport (2)

Multilevel and distributed Physics-Informed Neural Networks for the Helmholtz equation Stéphane Lanteri,Daria Hrebenshchykova,Victor Michel-Dansac,Victorita Dolean RR-9571, Inria & Université Cote d'Azur, CNRS, I3S, Sophia Antipolis, France. 2024 Rapport hal-04851623v1
Quasi-explicit, unconditionally stable, discontinuous galerkin solvers for conservation laws Philippe Helluy,Pierre Gerhard,Victor Michel-Dansac,Bruno Weber [Research Report] IRMA (UMR 7501). 2022 Rapport hal-03665248v1

Thèse (1)

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-01384958v1

Cours (1)

Structure-preserving methods for Hamiltonian ODEs Victor Michel-Dansac Master. Université de Strasbourg, France. 2023 Cours hal-05490469v1