Benoît Merlet

Professeur

Laboratoire Paul Painlevé, Université Lille 1

@   benoit.merlet AT math.univ-lille1.fr
Research interests Students Habilitation mémoire Publications Curriculum Vitæ


Research interests

Habilitation

  • Quelques travaux dans les domaines de l'Analyse Numérique et du Calcul des Variations (December 2013): document
  • PHD students

  • Thanh Nhan Nguyen (2010-2013)
  • Luca Ferrari (2015- )
  • Antoine Zurek (2016- )
  • Publications

    1. A. Chambolle, L. Ferrari, B.M: Variational approximation of size-mass energies for k-dimensional currents. ESAIM: Control, Optimisation and Calculus of Variations (2018). Preprint.
    2. C. Chainais-Hillairet, B.M, A Zurek: Convergence of a finite volume scheme for a parabolic system with a free boundary modeling concrete carbonation. ESAIM Mathematical Modelling and Numerical Analysis (2018). Preprint.
    3. C. Chainais-Hillairet, B.M, A Zurek: Design and analysis of a finite volume scheme for a concrete carbonation model. Proceedings of FVCA8 - International Conference on Finite Volumes for Complex Applications VIII (2017). Preprint.
    4. A. Vasseur, C. Chainais-Hillairet, B.M: Positive lower bound for the Numerical Solution of a Convection-Diffusion Equation. Proceedings of FVCA8 - International Conference on Finite Volumes for Complex Applications VIII (2017). Preprint.
    5. M. Goldman, B.M., V. Millot: A Ginzburg-Landau Model with topologically induced free discontinuities. Submitted (2017). Preprint.
    6. P. F. Antonietti, B.M., M. Pierre, M. Verani: Convergence to equilibrium for a second-order time semi-discretization of the Cahn-Hilliard equations. AIMS Mathematics, 1, no. 3 (2016), 178-194. Preprint.
    7. M. Goldman, B.M.: Phase segregation for binary mixtures of Bose-Einstein Condensates. Submitted (2016). Preprint.
    8. A. Chambolle, L. Ferrari, B.M: A simple phase-field approximation of the Steiner problem in dimension two. Submitted (2016). Preprint.
    9. A. Lefebvre-Lepot, B.M., T.N. Nguyen: An accurate method to include lubrication forces in numerical simulations of dense stokesian suspensions. Journal of Fluid Mechanics, 769 (2015), 369-386. Preprint.
    10. B.M.: A highly anisotropic nonlinear elasticity model for vesicles. II. Derivation of the thin bilayer bending theory. Arch. Ration. Mech. Anal. 217 (2015), no. 2, 681–740. Preprint.
    11. B.M.: A highly anisotropic nonlinear elasticity model for vesicles. I. Eulerian formulation, rigidity estimates and vanishing energy limit. Arch. Ration. Mech. Anal. 217 (2015), no. 2, 651–680. Preprint.
    12. F. ALouges, G. DiFratta, B.M.: Liouville type results for local minimizers of the micromagnetic energy. Calc. Var. Partial Differential Equations 53 (2015), no. 3-4, 525–560. Preprint.
    13. F. Alouges, A. DeSimone, L. Heltai, A. Lefebvre, B.M.: Optimally swimming stokesian robots. DCDS B, 18 (2013) no.5, 1189-1215. Preprint.
    14. B.M., T.N. Nguyen: Convergence to equilibrium for discretizations of gradient-like flows on Riemannian manifolds. Differential Integral Equations 26 (2013) no. 5-6, 571-602. Preprint.
    15. F. Alouges, A. Augier, B. Graille, B.M.: Homogenization of a coupled problem for sound propagation in porous media. Adv. Differential Equations 17 (2012), no. 11-12, 1001–1030. Preprint.
    16. R. Ignat, B.M.: Entropy method for line-energies. Calc. Var. Partial Differential Equations 44 (2012), no. 3-4, 375–418. Preprint.
    17. Radu Ignat, B.M.: Lower bound for the energy of Bloch Walls. Arch. Rat. Mech. Anal (2011), no. 2, 369–-406. Preprint.
    18. E. Audusse, P. Dreyfuss, B.M.: Optimized Schwarz Waveform Relaxation for the Primitive Equations of the Ocean SIAM J. Sci. Comput. 32 (2010), no. 5, 2908–2936. Preprint.
    19. B.M., Morgan Pierre: Convergence to equilibrium for the Euler backward scheme and applications. CPAA. 46 (2010), no. 3, 685--702. Preprint.
    20. A. Lefebvre-Lepot, B.M.: A Stokesian submarine. ESAIM Proc. (CEMRACS 2008) 28 (2009) 150–-161 Preprint.
    21. B.M.: L-infinity and L2-Error Estimates for a Finite Volume Approximation of Linear Advection SINUM. 46 (2008), no. 1, 124–150. Preprint.
    22. B.M.: Numerical study of a new global minimizer for the Mumford-Shah functional in R^3. ESAIM Control Optim. Calc. Var. 13 (2007), no. 3, 553--569. Preprint.
    23. B.M., Julien Vovelle : Error estimate for a Finite Volume Scheme. Numer. Math. 106 (2007), no. 1, 129--155. Preprint.
    24. B.M.: Two remarks on liftings of maps with values into $S\sp 1$. C. R. Math. Acad. Sci. Paris 343 (2006), no. 7, 467--472.Preprint.
    25. B.M., Morgan Pierre: Moving mesh for the axisymmetric harmonic map flow. M2AN Math. Model. Numer. Anal. 39 (2005), no. 4, 781--796. Preprint.
    26. B.M., Lionel Paumond: An Initial-and-Boundary Value Problem for the KP-II equation on a strip and on the half plane. Differential Integral Equations 18 (2005), no. 7, 813--839. Preprint.
    27. François Alouges, B.M.: Approximate shock curves for non-conservative hyperbolic systems in one space dimension. J. Hyperbolic Differ. Equ. 1 (2004), no. 4, 769--788. Preprint.

    Curriculum Vitæ

    Positions


    Last update: April 20, 2018