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)
  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)
  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)
  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)
  5. 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)
  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)
  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)
  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, Article 45 (2021)
  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)
  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)
  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, Article 82 (2023)
  12. 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)
  13. 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

  1. 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)
  2. 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)
  3. 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)
  4. 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)
  5. C. Cancès, F. Nabet
    Energy stable discretization for two-phase porous media flows
    Proceedings of FVCA 9, Vol. 323, pp. 213–221 (2020)
  6. C. Bauzet, F. Nabet
    Convergence of a finite-volume scheme for a heat equation with a multiplicative stochastic force
    Proceedings of FVCA 9 (2020)
  7. C. Bauzet, F. Nabet, K. Schmitz, A. Zimmermann
    Finite-Volume approximations for non-linear parabolic problems with stochastic forcing
    Proceedings of FVCA 10
  8. 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

Schémas volumes finis pour des problèmes multiphasiques

Thèse de doctorat

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