Hélène Mathis
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Thèse
Publications
Articles soumis ou en préparation
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Relative entropy for the finite volume approximation of hyperbolic systems with relaxation
C. Cancès, F. Coquel, E. Godlewski, H. Mathis, N. Seguin
En préparation.
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Model adaptation for hyperbolic systems with relaxation
C. Cancès, F. Coquel, E. Godlewski, H. Mathis, N. Seguin
En préparation.
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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
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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
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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
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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
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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
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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
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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
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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