Hélène Mathis

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Thèse

Publications

Articles soumis ou en préparation

  • Relative entropy for the finite volume approximation of hyperbolic systems with relaxation
    C. Cancès, F. Coquel, E. Godlewski, H. Mathis, N. Seguin
    En préparation.
  • Model adaptation for hyperbolic systems with relaxation
    C. Cancès, F. Coquel, E. Godlewski, H. Mathis, N. Seguin
    En préparation.
  • OSAMOAL : Optimized Simulations by Adapted MOdels using Asymptotic Limits
    A.-C. Boulanger, C. Cancès, H. Mathis, K. Saleh, N. Seguin
    À paraître dans ESAIM Proc.

Articles

  • 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.
    Preprint
  • Pressure laws and Fast Legendre Transform
    P. Helluy, H. Mathis
    Math. Models Methods Appl. Sci.
    21 (2011), no. 4, 745-775.
    Preprint
  • A simple parameter-free entropy correction for approximate Riemann solvers
    P. Helluy, J.-M. Hérard, H. Mathis, S. Müller
    Comptes Rendus Mécanique, Volume 338, Issue 9, September 2010, Pages 493-498,
    Preprint

Actes de congrès

  • 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.
    Preprint
  • 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.
    Preprint
  • 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.
    Preprint
  • 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.
    Preprint
  • 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.
    Preprint