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A plasma expansion model based on the full Euler-Poisson system

Pierre Crispel , Pierre Degond , Marie-Hélène Vignal
Mathematical Models and Methods in Applied Sciences, 2007, 17 (7), pp.1129-1158. ⟨10.1142/S0218202507002224⟩
Article dans une revue hal-00635604v1
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Asymptotic-Preserving Particle-In-Cell method for the Vlasov-Poisson system near quasineutrality

Pierre Degond , Fabrice Deluzet , Laurent Navoret , An-Bang Sun , Marie-Hélène Vignal
Journal of Computational Physics, 2010, 229 (16), pp.5630-5652. ⟨10.1016/j.jcp.2010.04.001⟩
Article dans une revue hal-00359356v1
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STUDY OF A NEW ASYMPTOTIC PRESERVING SCHEME FOR THE EULER SYSTEM IN THE LOW MACH NUMBER LIMIT

Giacomo Dimarco , Raphaël Loubère , Marie-Hélène Vignal
SIAM Journal on Scientific Computing, 2017, 39 (5), pp.A2099-A2128
Article dans une revue hal-01297238v1
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Multiscale schemes for the BGK-Vlasov-Poisson system in the quasi-neutral and fluid limits. Stability analysis and first order schemes.

Nicolas Crouseilles , Giacomo Dimarco , Marie-Hélène Vignal
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2016, 14 (1), pp.65-95. ⟨10.1137/140991558⟩
Article dans une revue hal-01090676v1

A second order all Mach number IMEX finite volume solver for the three dimensional Euler equations

Walter Boscheri , Giacomo Dimarco , Raphaël Loubère , Maurizio Tavelli , Marie-Hélène Vignal
Journal of Computational Physics, 2020, 415, pp.109486. ⟨10.1016/j.jcp.2020.109486⟩
Article dans une revue hal-02619102v1
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Numerical approximation of the Euler-Poisson-Boltzmann model in the quasineutral limit

Pierre Degond , Hailiang Liu , Dominique Savelief , Marie-Hélène Vignal
Journal of Scientific Computing, 2012, 51 (1), pp.59-86. ⟨10.1007/s10915-011-9495-1⟩
Article dans une revue hal-00529593v1

A boundary layer problem for an asymptotic preserving scheme in the quasi-neutral limit for the Euler-Poisson system

Marie-Hélène Vignal
SIAM Journal on Applied Mathematics, 2010, 70 (6), pp.1761-1787
Article dans une revue hal-00629882v1

Analysis of an asymptotic preserving scheme for the Euler-Poisson system in the quasineutral limit

Pierre Degond , Jian-Guo Liu , Marie-Hélène Vignal
SIAM Journal on Numerical Analysis, 2008, 46 (3), pp.1298-1322. ⟨10.1137/070690584⟩
Article dans une revue hal-00635071v1

A volume of fluid method for a two-dimensional plasma expansion problem

K.-C. Le Thanh , Céline Parzani , Marie-Hélène Vignal
Journal of Computational Physics, 2007, 225 (2), pp.1937-1960. ⟨10.1016/j.jcp.2007.02.031⟩
Article dans une revue istex hal-00635759v1
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Second order Implicit-Explicit Total Variation Diminishing schemes for the Euler system in the low Mach regime

Giacomo Dimarco , Raphaël Loubère , Victor Michel-Dansac , Marie-Hélène Vignal
Journal of Computational Physics, 2018, 372, pp.178 - 201. ⟨10.1016/j.jcp.2018.06.022⟩
Article dans une revue hal-01620627v2
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A second order all Mach number IMEX finite volume solver for the three dimensional Euler equations

Walter Boscheri , Giacomo Dimarco , Raphaël Loubère , Maurizio Tavelli , Marie-Hélène Vignal
Journal of Computational Physics, 2020, 415, pp.109486. ⟨10.1016/j.jcp.2020.109486⟩
Article dans une revue hal-03084457v1
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Study of a fully implicit scheme for the drift-diffusion system. Asymptotic behavior in the quasi-neutral limit

Marianne Bessemoulin-Chatard , Claire Chainais-Hillairet , Marie-Hélène Vignal
SIAM Journal on Numerical Analysis, 2014, 52 (4), pp.1666-1691. ⟨10.1137/130913432⟩
Article dans une revue hal-00801912v2
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The Vlasov model under large magnetic fields in the low-Mach number regime

Pierre Degond , Sever Adrian Hirstoaga , Marie-Hélène Vignal
2009
Pré-publication, Document de travail hal-00384345v1
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An Asymptotic Preserving Scheme for the Euler equations in a strong magnetic field

Pierre Degond , Fabrice Deluzet , Afeintou Sangam , Marie-Hélène Vignal
Journal of Computational Physics, 2009, 228, pp.3540-3558
Article dans une revue hal-00319630v1

An asymptotic preserving scheme for the two-fluid Euler-Poisson model in the quasineutral limit

Pierre Crispel , Pierre Degond , Marie-Hélène Vignal
Journal of Computational Physics, 2007, 223 (1), pp.208-234. ⟨10.1016/j.jcp.2006.09.004⟩
Article dans une revue istex hal-00635602v1