Hélène Mathis

Maître de conférences au Laboratoire de Mathématiques Jean Leray

LMJL Université de Nantes


Articles en préparation ou soumis

  • A thermodynamically consistent model of a liquid-vapor fluid with a gas
    H. Mathis
  • Modelling binary alloy solidification by a random projection method
    S. Carpy, H. Mathis
  • An asymptotic preserving scheme for hyperbolic problems with diffusive limit on bounded domain
    H. Mathis, N. Therme
    En préparation

Articles parus ou à paraître dans des revues internationales

  • A relaxation model for liquid-vapor phase change with metastability
    F. James, H. Mathis
    Communications in Mathematical Sciences, Volume 14(8), 2016.
  • Numerical convergence rate for a diffusive limit of hyperbolic systems : p-system with damping
    C. Berthon, M. Bessemoulin-Chatard, H. Mathis
    SMAI J. of Comput. Math., Volume 2, 2016.
  • Error estimate for time-explicit finite volume approximation of strong solutions to systems of conservation laws
    C. Cancès, H. Mathis, N. Seguin
    SIAM Journal on Numerical Analysis (SINUM), Volume 54(2), 2016.
  • Error analysis of a dynamic model adaptation procedure for nonlinear hyperbolic equations
    C. Cancès, F. Coquel, E. Godlewski, H. Mathis, N. Seguin
    Communications in Mathematical Sciences, Volume 14(1), 2016.
  • Dynamic model adaptation for multiscale simulation of hyperbolic systems with relaxation
    H. Mathis, C. Cancès, E. Godlewski, N. Seguin
    Journal of Scientific Computing, Volume 63(3), 2015.
  • Random sampling remap for compressible two-phase flows
    M. Bachmann, P. Helluy, J. Jung, H. Mathis, S. Müller
    Computers and Fluids, 86 (2013), 275-283.
  • A well balanced approximate Riemann solver for compressible flows in variable cross-section ducts
    P. Helluy, J.-M. Hérard, H. Mathis
    J. Comput. Appl. Math., 236 (2012), no. 7, 1976-1992.
  • Pressure laws and Fast Legendre Transform
    P. Helluy, H. Mathis
    Math. Models Methods Appl. Sci., 21 (2011), no. 4, 745-775.
  • A simple parameter-free entropy correction for approximate Riemann solvers
    P. Helluy, J.-M. Hérard, H. Mathis, S. Müller
    Comptes Rendus Mécanique, 338 (2010), no. 9, 493-498.

Actes de congrès

  • Numerical convergence for a diffuse limit of hyperbolic systems on bounded domain
    H. Mathis, N. Therme
    Finite volumes for complex applications. VIII, 2017
  • Approximation d'interface liquide-solide dans l'hydrosphère de Ganymède par un schéma de type Glimm
    S. Carpy, H. Mathis
    Rencontres du non linéaire, 2016
  • Modeling phase transition and metastable phases
    F. James, H. Mathis
    Finite volumes for complex applications. VII. Problems and perspectives.
  • OSAMOAL : Optimized Simulations by Adapted MOdels using Asymptotic Limits
    A.-C. Boulanger, C. Cancès, H. Mathis, K. Saleh, N. Seguin
    CEMRACS'11: Multiscale Coupling of Complex Models in Scientific Computing, Marseille, France, July 18-August 26, 2011,
    Dans ESAIM: Proc. Volume 38, pages 183-201, 2012.
  • Model adaptation for hyperbolic systems with relaxation
    H. Mathis, N. Seguin
    Finite volumes for complex applications. VI. Problems and perspectives.
    Volume 1, 2, 673-681, Springer Proc. Math., 4, Springer, Heidelberg, 2011.
  • A simple model for cavitation with non-condesable gases
    M. Bachmann, P. Helluy, H. Mathis, S. Müller
    Accepté dans les actes de la conférence "13th Int. Conference on Hyperbolic Problems", Pekin, 15-19 juin 2010.
  • A well-balanced approximate Riemann solver for variable cross-section compressible flows
    P. Helluy, J.-M. Hérard, H. Mathis
    AIAA paper 2009-3540, http://www.aiaa.org, 2009.
  • A local time-stepping discontinuous Galerkin algorithm for the MHD system
    C. Altmann, T. Belat, M. Gutnic, P. Helluy, H. Mathis, E Sonnendrücker
    ESAIM, Proc. 28, pp. 33-54, 2009.
  • An ALE averaging approach for the computing of bubble oscillations
    P. Helluy, H. Mathis, S. Müller
    Finite Volume for Complex Applications V. ISTE and Wiley, pp. 487-494, 2008.