Numerical and theoretical study of a Dual Mesh Method using finite volume schemes for two phase flow problems in porous media. - S. Verdière; Marie Hélène Vignal (Numerische Mathematik, 1998)

Error Estimates on the Approximate Finite Volume Solution of Convection Diffusion Equations with General Boundary Conditions. - Thierry Gallouët; Raphaèle Herbin; Marie Hélène Vignal (SIAM J. Numer. Anal., 2000)

Plasma Expansion in Vacuum: Modeling the Breakdown of Quasi Neutrality. - Pierre Degond; Céline Parzani; Marie Hélène Vignal (Multiscale Model. Simul., 2003)

A Boltzmann Model for Trapped Particles in a Surface Potential. - Pierre Degond; Céline Parzani; Marie Hélène Vignal (Multiscale Model. Simul., 2006)

An asymptotic preserving scheme for the two-fluid Euler-Poisson model in the quasineutral limit. - Pierre Crispel; Pierre Degond; Marie Hélène Vignal (J. Comput. Phys., 2007)

A volume of fluid method for a two-dimensional plasma expansion problem. - Kim-Claire Le Thanh; Céline Parzani; Marie Hélène Vignal (J. Comput. Phys., 2007)

Analysis of an Asymptotic Preserving Scheme for the Euler-Poisson System in the Quasineutral Limit. - Pierre Degond; Jian-Guo Liu 006; Marie Hélène Vignal (SIAM J. Numer. Anal., 2008)

An Asymptotic Preserving scheme for the Euler equations in a strong magnetic field. - Pierre Degond; Fabrice Deluzet; A. Sangam; Marie Hélène Vignal (J. Comput. Phys., 2009)

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 (J. Comput. Phys., 2010)

A Boundary Layer Problem for an Asymptotic Preserving Scheme in the Quasi-Neutral Limit for the Euler–Poisson System. - Marie Hélène Vignal (SIAM J. Appl. Math., 2010)

Numerical Approximation of the Euler-Poisson-Boltzmann Model in the Quasineutral Limit. - Pierre Degond; Hailiang Liu; D. Savelief; Marie Hélène Vignal (J. Sci. Comput., 2012)

Study of a Finite Volume Scheme for the Drift-Diffusion System. Asymptotic Behavior in the Quasi-Neutral Limit. - Marianne Bessemoulin-Chatard; Claire Chainais-Hillairet; Marie Hélène Vignal (SIAM J. Numer. Anal., 2014)

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 Model. Simul., 2016)

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 J. Sci. Comput., 2017)

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 (J. Comput. Phys., 2018)

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 (J. Comput. Phys., 2020)

Study of a New Low-Oscillating Second-Order All-Mach Number IMEX Finite Volume Scheme for the Full Euler Equations. - Paola Allegrini; Marie Hélène Vignal (SIAM J. Sci. Comput., 2025)

A structure and asymptotic preserving scheme for the quasineutral limit of the Vlasov-Poisson system. - Alain Blaustein; Giacomo Dimarco; Francis Filbet; Marie Hélène Vignal (CoRR, 2025)