| An asymptotic preserving scheme for the two-fluid Euler–Poisson model in the quasineutral limit P Crispel, P Degond, MH Vignal Journal of Computational Physics 223 (1), 208-234, 2007 | 135 | 2007 |
| Error estimates on the approximate finite volume solution of convection diffusion equations with general boundary conditions T Gallouët, R Herbin, MH Vignal SIAM Journal on Numerical Analysis 37 (6), 1935-1972, 2000 | 117 | 2000 |
| Asymptotic-preserving particle-in-cell method for the Vlasov–Poisson system near quasineutrality P Degond, F Deluzet, L Navoret, AB Sun, MH Vignal Journal of Computational Physics 229 (16), 5630-5652, 2010 | 88 | 2010 |
| Study of a new asymptotic preserving scheme for the Euler system in the low Mach number limit G Dimarco, R Loubère, MH Vignal SIAM journal on Scientific Computing 39 (5), A2099-A2128, 2017 | 84 | 2017 |
| An asymptotic preserving scheme for the Euler equations in a strong magnetic field P Degond, F Deluzet, A Sangam, MH Vignal Journal of Computational Physics 228 (10), 3540-3558, 2009 | 75 | 2009 |
| Analysis of an asymptotic preserving scheme for the Euler–Poisson system in the quasineutral limit P Degond, JG Liu, MH Vignal SIAM Journal on Numerical Analysis 46 (3), 1298-1322, 2008 | 62 | 2008 |
| A second order all Mach number IMEX finite volume solver for the three dimensional Euler equations W Boscheri, G Dimarco, R Loubère, M Tavelli, MH Vignal Journal of Computational Physics 415, 109486, 2020 | 53 | 2020 |
| Second-order implicit-explicit total variation diminishing schemes for the Euler system in the low Mach regime G Dimarco, R Loubère, V Michel-Dansac, MH Vignal Journal of Computational Physics 372, 178-201, 2018 | 50 | 2018 |
| Quasi-neutral fluid models for current-carrying plasmas P Crispel, P Degond, MH Vignal Journal of Computational Physics 205 (2), 408-438, 2005 | 49 | 2005 |
| Convergence of a finite volume scheme for an elliptic-hyperbolic system MH Vignal ESAIM: Mathematical Modelling and Numerical Analysis 30 (7), 841-872, 1996 | 48 | 1996 |
| Study of a finite volume scheme for the drift-diffusion system. Asymptotic behavior in the quasi-neutral limit M Bessemoulin-Chatard, C Chainais-Hillairet, MH Vignal SIAM Journal on Numerical Analysis 52 (4), 1666-1691, 2014 | 46 | 2014 |
| Numerical approximation of the Euler-Poisson-Boltzmann model in the quasineutral limit P Degond, H Liu, D Savelief, MH Vignal Journal of Scientific Computing 51, 59-86, 2012 | 36 | 2012 |
| Numerical and theoretical study of a dual mesh method using finite volume schemes for two phase flow problems in porous media S Verdiere, MH Vignal Numerische Mathematik 80, 601-639, 1998 | 34 | 1998 |
| A plasma expansion model based on the full Euler–Poisson system P Crispel, P Degond, MH Vignal Mathematical models and methods in applied sciences 17 (07), 1129-1158, 2007 | 33 | 2007 |
| An asymptotically stable discretization for the Euler–Poisson system in the quasi-neutral limit P Crispel, P Degond, MH Vignal Comptes rendus. Mathématique 341 (5), 323-328, 2005 | 31 | 2005 |
| Plasma expansion in vacuum: modeling the breakdown of quasi neutrality P Degond, C Parzani, MH Vignal Multiscale Modeling & Simulation 2 (1), 158-178, 2003 | 21 | 2003 |
| A one-dimensional model of plasma expansion P Degond, C Parzani, MH Vignal Mathematical and Computer Modelling 38 (10), 1093-1099, 2003 | 18 | 2003 |
| Limites visqueuses pour des systemes de type fokker–planck–burgers unidimensionnels K Domelevo, MH Vignal Comptes Rendus de l'Académie des Sciences-Series I-Mathematics 332 (9), 863-868, 2001 | 16 | 2001 |
| Multiscale Schemes for the BGK--Vlasov--Poisson System in the Quasi-Neutral and Fluid Limits. Stability Analysis and First Order Schemes N Crouseilles, G Dimarco, MH Vignal Multiscale Modeling & Simulation 14 (1), 65-95, 2016 | 14 | 2016 |
| A boundary layer problem for an asymptotic preserving scheme in the quasi-neutral limit for the Euler–Poisson system MH Vignal SIAM Journal on Applied Mathematics 70 (6), 1761-1787, 2010 | 13 | 2010 |
