Victor Michel-Dansac

31
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Publications

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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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Generalizing the SINDy approach with nested neural networks

Camilla Fiorini , Clément Flint , Louis Fostier , Emmanuel Franck , Reyhaneh Hashemi et 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
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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
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On high-precision L<sup>∞</sup>-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
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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
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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
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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
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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
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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