Articles
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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) -
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) -
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) -
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) -
C. Cancès, D. Matthes, F. Nabet
A two-phase two-fluxes degenerate Cahn-Hilliard model as constrained Wasserstein gradient flow
Archive for Rational Mechanics and Analysis, Vol. 233, No. 2, pp. 837–866 (2019) -
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) -
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) -
A. Lefebvre-Lepot, F. Nabet
Numerical simulation of rigid particles in Stokes flow: lubrication correction for any (regular) shape of particles
MMNP, Vol. 16, Article 45 (2021) -
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) -
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) -
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, Article 82 (2023) -
C. Cancès, D. Matthes, F. Nabet, E.-M. Rott
Finite elements for Wasserstein Wp gradient flows
M2AN, Vol. 59, No. 3, pp. 1565–1600 (2025) -
M. Alfaro, C. Chainais-Hillairet, F. Nabet
A functional inequalities approach for the field-road diffusion model with symmetric nonlinear exchanges
Applied Mathematics Letters, Vol. 180, Article 109980 (2026)
Proceedings
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F. Nabet
Finite-Volume method for the Cahn-Hilliard equation with dynamic boundary conditions
Congrès SMAI 2013, ESAIM: Proceedings and Surveys, Vol. 45, pp. 502–511 (2014) -
F. Nabet
Finite-Volume analysis for the Cahn-Hilliard equation with dynamic boundary conditions
Proceedings of the 7th International Symposium on Finite Volumes for Complex Applications (FVCA 7), Springer Proceedings in Mathematics & Statistics, Vol. 77, pp. 401–409 (2014) -
C. Cancès, F. Nabet
Finite Volume Approximation of a degenerate immiscible two-phase flow model of Cahn-Hilliard type
Proceedings of FVCA 8, Vol. 199, pp. 431–438 (2017) -
F. Boyer, S. Krell, F. Nabet
Benchmark Session: The 2D Discrete Duality Finite Volume Method
Proceedings of FVCA 8, Vol. 199, pp. 163–180 (2017) -
C. Cancès, F. Nabet
Energy stable discretization for two-phase porous media flows
Proceedings of FVCA 9, Vol. 323, pp. 213–221 (2020) -
C. Bauzet, F. Nabet
Convergence of a finite-volume scheme for a heat equation with a multiplicative stochastic force
Proceedings of FVCA 9 (2020) -
C. Bauzet, F. Nabet, K. Schmitz, A. Zimmermann
Finite-Volume approximations for non-linear parabolic problems with stochastic forcing
Proceedings of FVCA 10 -
M. Castellano, L. Goudenège, F. Nabet
Energy estimate of a Discrete Duality Finite Volume scheme for a phase-field model with surfactants
Proceedings of the 29th International Conference on Domain Decomposition Methods
Thèse
Mémoire de Master 2
Stabilité Inf-Sup de schémas numériques pour le problème de Stokes
Stage de Master 2 (6 mois)
Encadré par F. Boyer
TER de Master 1
À la découverte des lois de conservation scalaires non linéaires
Réalisé avec M. De Segonzac et C. Gautier
Sous la direction de F. Boyer