Team, Visitors, External Collaborators
Overall Objectives
Research Program
Application Domains
New Software and Platforms
Bilateral Contracts and Grants with Industry
Partnerships and Cooperations
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Publications of the year

Doctoral Dissertations and Habilitation Theses

G. Lissoni.
DDFV method : applications to fluid mechanics and domain decomposition, Université de Nice - Sophia Antipolis ; UCA, LJAD, October 2019.

Articles in International Peer-Reviewed Journals

J. Aghili, K. Brenner, J. Hennicker, R. Masson, L. Trenty.
Two-phase Discrete Fracture Matrix models with linear and nonlinear transmission conditions, in: GEM - International Journal on Geomathematics, January 2019. [ DOI : 10.1007/s13137-019-0118-6 ]
P. Amorim, T. Goudon, F. Peruani.
An ant navigation model based on Weber's law, in: Journal of Mathematical Biology, 2019.
L. Beaude, R. Masson, S. Lopez, P. Samier.
Combined face based and nodal based discretizations on hybrid meshes for non-isothermal two-phase Darcy flow problems, in: ESAIM: Mathematical Modelling and Numerical Analysis, July 2019. [ DOI : 10.1051/m2an/2019014 ]
F. Berthelin, P. Goatin.
Regularity results for the solutions of a non-local model of traffic, in: Discrete and Continuous Dynamical Systems - Series A, 2019, vol. 39, no 6, pp. 3197-3213.
F. Berthelin, J. Vovelle.
Stochastic isentropic Euler equations, in: Annales scientifiques de l'Ecole normale supérieure, 2019, vol. 52, no 1, pp. 181–254,
C. Caputo, T. Goudon, A. F. Vasseur.
Solutions of the 4-species quadratic reaction-diffusion system are bounded and C ∞ -smooth, in any space dimension, in: Analysis & PDE, 2019.
J. Gilleron, T. Goudon, F. Lagoutière, H. Martin, B. Mauroy, P. Millet, M. Ribot, C. Vaghi.
Modeling and analysis of adipocytes dynamic with a differentiation process, in: ESAIM: Proceedings and Surveys, 2019, vol. 2019, pp. 1 - 10, forthcoming.
T. Goudon, J. Barre, D. Crisan.
Two-dimensional pseudo-gravity model: particles motion in a non-potential singular force field, in: Transactions AMS, 2019.
T. Goudon, S. Krell, G. Lissoni.
DDFV method for Navier-Stokes problem with outflow boundary conditions, in: Numerische Mathematik, 2019.
T. Goudon, J. Llobell, S. Minjeaud.
An explicit MUSCL scheme on staggered grids with kinetic-like fluxes for the barotropic and full Euler system, in: Communications in Computational Physics, 2019, forthcoming.
T. Goudon, S. Minjeaud, J. Llobell.
An asymptotic preserving scheme on staggered grids for thebarotropic Euler system in low Mach regimes, in: Numerical Methods for Partial Differential Equations, 2019.
T. Goudon, L. Monasse.
Fokker-Planck approach of Ostwald ripening: simulation of a modified Lifschitz-Slyozov-Wagner system with a diffusive correction, in: SIAM Journal on Scientific Computing, 2019, forthcoming.
T. Goudon, A. F. Vasseur.
Statistical Stability for Transport in Random Media, in: Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, January 2019, vol. 17, no 1, pp. 507-530. [ DOI : 10.1137/18M1184643 ]
T. Goudon, L. Vivion.
Numerical investigation of Landau damping in dynamical Lorentz gases, in: Physica D: Nonlinear Phenomena, 2019.
B. Guelmame, S. Junca, D. Clamond.
Regularizing effect for conservation laws with a Lipschitz convex flux, in: Communications in Mathematical Sciences, 2019, vol. 17, no 8, pp. 2223-2238.
S. Labarthe, B. Polizzi, T. Phan, T. Goudon, M. Ribot, B. Laroche.
A mathematical model to investigate the key drivers of the biogeography of the colon microbiota, in: Journal of Theoretical Biology, February 2019, vol. 462, no 7, pp. 552-581. [ DOI : 10.1016/j.jtbi.2018.12.009 ]
F. Marazzato, A. Ern, C. Mariotti, L. Monasse.
An explicit pseudo-energy conserving time-integration scheme for Hamiltonian dynamics, in: Computer Methods in Applied Mechanics and Engineering, April 2019, vol. 347, pp. 906-927. [ DOI : 10.1016/j.cma.2019.01.013 ]

Other Publications

P. Amorim, F. Berthelin, T. Goudon.
A non-local scalar conservation law describing navigation processes, December 2019, working paper or preprint.
F. Bonaldi, K. Brenner, J. Droniou, R. Masson.
The Gradient Discretisation Method for Two-phase Discrete Fracture Matrix Models in Deformable Porous Media, January 2020, working paper or preprint.
C. Cancès, C. Chainais-Hillairet, M. Herda, S. Krell.
Large time behavior of nonlinear finite volume schemes for convection-diffusion equations, November 2019, working paper or preprint.
C. Chainais-Hillairet, S. Krell.
Exponential decay to equilibrium of nonlinear DDFV schemes for convection-diffusion equations, December 2019, working paper or preprint.
M. J. Gander, J. Hennicker, R. Masson.
Modeling and Analysis of the Coupling in Discrete Fracture Matrix models, January 2020, working paper or preprint.
T. Goudon, S. Krell, G. Lissoni.
Non-overlapping Schwarz algorithms for the Incompressible Navier-Stokes equations with DDFV discretizations, January 2020, working paper or preprint.
T. Goudon, L. Vivion.
Landau damping in dynamical Lorentz gases, June 2019, working paper or preprint.
F. Marazzato, A. Ern, L. Monasse.
A consistent discrete element method for quasi-static and dynamic elasto-plasticity, November 2019, - working paper or preprint.