Articles

1. F. Boyer, S. Krell, F. Nabet,
   Inf-Sup stability of the Discrete Duality Finite Volume method for the 2D Stokes problem, Math. Comp., Vol. 84, pp. 2705-2742 (2015) Preprint HAL or Published on-line
2. F. Nabet,
   Convergence of a Finite-Volume scheme for the Cahn-Hilliard equation with dynamic boundary conditions, IMA Journal of Numerical Analysis, Vol. 36, no 4, pp. 1898-1942 (2016) Published on-line
3. P. Bousquet, F. Boyer, F. Nabet,
   On a functional inequality arising in the analysis of finite volume methods, Calcolo, Vol. 53, no 3, pp. 363-397 (2016) Preprint HAL or Published on-line
4. F. Boyer, F. Nabet,
   A DDFV method for a Cahn-Hilliard/Stokes phase field model with dynamic boundary conditions , M2AN, Vol. 51, no 5, pp. 1691-1731 (2017) Preprint HAL or Published on-line
5. C. Cancès, D. Matthes, F. Nabet,
   A two-phase two-fluxes degenerate Cahn-Hilliard model as constrained Wasserstein gradient flow, Arch. Rational Mech. Anal., Vol. 233, no 2, pp 837–866 (2019) Preprint HAL or Published on-line
6. C. Cancès, F. Nabet, M. Vohralík,
   Convergence and a posteriori error analysis for energy-stable finite element approximations of degenerate parabolic equations, Math. Comp., Vol. 90, pp 517-563 (2021) Preprint HAL or Published on-line
7. C. Cancès, F. Nabet,
   Finite Volume approximation of a two-phase two fluxes degenerate Cahn-Hilliard model, M2AN, Vol. 55, no 3, pp 969--1003 (2021) Preprint HAL or Published on-line
8. A. Lefebvre-Lepot, F. Nabet,
   Numerical simulation of rigid particles in Stokes flow: lubrication correction for any (regular) shape of particles, MMNP, Vol. 16, Art no 45, 26 pp (2021), Preprint HAL or Published on-line
9. F. Nabet,
   An error estimate for a finite-volume scheme for the Cahn-Hilliard equation with dynamic boundary conditions, Numerische Mathematik, Vol. 149, no 1, pp 185--226 (2021) Preprint HAL or Published on-line
10. C. Bauzet, F. Nabet, K. Schmitz, A. Zimmermann,
    Convergence of a finite-volume scheme for a heat equation with a multiplicative Lipschitz noise, M2AN, Vol. 57, no 2, pp 745--783 (2023) Preprint HAL or Published on-line
11. V. Giovangigli, Y. Le Calvez, F. Nabet,
    Symmetrization and local existence of strong solutions for diffuse interface fluid models, Journal of Mathematical Fluid Mechanics, Vol. 25, no 82 (2023) Preprint HAL or Published on-line

Proceedings

1. F. Nabet,
   Finite-Volume method for the Cahn-Hilliard equation with dynamic boundary conditions, Congrés SMAI 2013, ESAIM : Proceedings and Surveys, Vol. 45, p 502-511, (2014) Preprint HAL or Published on-line
2. F. Nabet,
   Finite-Volume analysis for the Cahn-Hilliard equation with dynamic boundary conditions, Proceedings of the 7th international symposium of Finite Volumes for Complex Applications VII (FVCA 7) - Methods and Theoretical Aspects, Springer Proceedings in Mathematics & Statistics, Vol. 77, p 401-409 (2014) Preprint HAL or Published on-line
3. C. Cancès, F. Nabet,
   Finite Volume Approximation of a degenerate immiscible two-phase flow model of Cahn-Hilliard type, Proceedings of the 8th international symposium of Finite Volumes for Complex Applications VIII (FVCA 8) - Methods and Theoretical Aspects, Vol. 199, pp. 431-438 (2017) Preprint HAL or Published on-line
4. F. Boyer, S. Krell, F. Nabet,
   Benchmark Session: The 2D Discrete Duality Finite Volume Method, Proceedings of the 8th international symposium of Finite Volumes for Complex Applications VIII (FVCA 8) - Methods and Theoretical Aspects, Vol. 199, pp. 163-180 (2017) Published on-line
5. C. Cancès, F. Nabet,
   Energy stable discretization for two-phase porous media flows, Proceedings of the 9th international symposium of Finite Volumes for Complex Applications IX (FVCA 9) - Methods, Theoretical Aspects, Examples, Vol. 323, p 213-221 (2020) Preprint HAL or Published on-line
6. C. Bauzet, F. Nabet,
   Convergence of a finite-volume scheme for a heat equation with a multiplicative stochastic force, Proceedings of the 9th international symposium of Finite Volumes for Complex Applications IX (FVCA 9) Preprint HAL or Published on-line
7. C. Bauzet, F. Nabet, K. Schmitz, A. Zimmermann,
   Finite-Volume approximations for non-linear parabolic problems with stochastic forcing, Proceedings of the 10th international symposium of Finite Volumes for Complex Applications X (FVCA 10) Preprint HAL or Published on-line

Thèse

Schémas volumes finis pour des problèmes multiphasiques or https://tel.archives-ouvertes.fr/tel-01110741

Mémoire de M2