Edit Profile Vignal, Marie-Hélène Compute Distance To: Compute Author ID: vignal.marie-helene Published as: Vignal, M. H.; Vignal, M.-H.; Vignal, Marie Hélène; Vignal, Marie-Hélène; Vignal, Marie-Héléne Documents Indexed: 27 Publications since 1996 all top 5 Co-Authors 2 single-authored 15 Degond, Pierre 7 Parzani, Céline 5 Crispel, Pierre 4 Dimarco, Giacomo 3 Deluzet, Fabrice 3 Loubère, Raphaël 2 Bessemoulin-Chatard, Marianne 2 Chainais-Hillairet, Claire 1 Ben Abdallah, Naoufel 1 Boscheri, Walter 1 Crouseilles, Nicolas 1 Domelevo, Komla 1 Gallouët, Thierry 1 Herbin, Raphaèle 1 Latocha, Vladimir 1 Le Thanh, Kim-Claire 1 Liu, Hailiang 1 Liu, Jianguo 1 Michel-Dansac, Victor 1 Navoret, Laurent 1 Sangam, Afeintou 1 Savelief, D. 1 Sun, Anbang 1 Talaalout, R. 1 Tavelli, Maurizio 1 Verdière, S. all top 5 Serials 7 Journal of Computational Physics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Multiscale Modeling & Simulation 2 SIAM Journal on Numerical Analysis 1 Numerische Mathematik 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Mathematical and Computer Modelling 1 Journal of Scientific Computing 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Scientific Computing 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique Fields 24 Fluid mechanics (76-XX) 16 Statistical mechanics, structure of matter (82-XX) 14 Numerical analysis (65-XX) 9 Partial differential equations (35-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 24 Publications have been cited 212 times in 127 Documents Cited by ▼ Year ▼ An asymptotic preserving scheme for the two-fluid Euler-Poisson model in the quasineutral limit. Zbl 1163.76062Crispel, Pierre; Degond, Pierre; Vignal, Marie-Hélène 36 2007 An asymptotic preserving scheme for the Euler equations in a strong magnetic field. Zbl 1396.76067Degond, P.; Deluzet, F.; Sangam, A.; Vignal, M.-H. 21 2009 Asymptotic-preserving particle-in-cell method for the Vlasov-Poisson system near quasineutrality. Zbl 1346.82034Degond, Pierre; Deluzet, Fabrice; Navoret, Laurent; Sun, An-Bang; Vignal, Marie-Hélène 18 2010 Study of a new asymptotic preserving scheme for the Euler system in the low Mach number limit. Zbl 1391.76401Dimarco, Giacomo; Loubère, Raphaël; Vignal, Marie-Hélène 14 2017 Quasi-neutral fluid models for current-carrying plasmas. Zbl 1087.82022Crispel, Pierre; Degond, Pierre; Vignal, Marie-Hélène 11 2005 Analysis of an asymptotic preserving scheme for the Euler-Poisson system in the quasineutral limit. Zbl 1173.82032Degond, Pierre; Liu, Jian-Guo; Vignal, Marie-Hélène 10 2008 A plasma expansion model based on the full Euler-Poisson system. Zbl 1143.82027Crispel, P.; Degond, P.; Vignal, M. H. 10 2007 An asymptotically stable discretization for the Euler–Poisson system in the quasi-neutral limit. Zbl 1203.76179Crispel, Pierre; Degond, Pierre; Vignal, Marie-Hélène 10 2005 Study of a finite volume scheme for the drift-diffusion system. Asymptotic behavior in the quasi-neutral limit. Zbl 1305.65191Bessemoulin-Chatard, M.; Chainais-Hillairet, C.; Vignal, M.-H. 9 2014 Plasma expansion in vacuum: modeling the breakdown of quasi neutrality. Zbl 1068.82021Degond, Pierre; Parzani, Céline; Vignal, Marie-Hélène 9 2004 Convergence of a finite volume scheme for an elliptic-hyperbolic system. Zbl 0861.65084Vignal, M. H. 9 1996 Numerical approximation of the Euler-Poisson-Boltzmann model in the quasineutral limit. Zbl 1395.76047Degond, P.; Liu, H.; Savelief, D.; Vignal, M.-H. 7 2012 Viscous limits for one-dimensional Fokker-Planck-Burgers type systems. Zbl 1067.76090Domelevo, Komla; Vignal, Marie-Hélène 7 2001 A boundary layer problem for an asymptotic preserving scheme in the quasi-neutral limit for the Euler–Poisson system. Zbl 1213.35040Vignal, Marie Hélène 6 2010 A model for plasma expansion in vacuum. Zbl 1140.76499Degond, Pierre; Parzani, Céline; Vignal, Marie-Hélène 6 2002 Numerical and theoretical study of a dual mesh method using finite volume schemes for two-phase flow problems in porous media. Zbl 0912.76063Verdière, S.; Vignal, M. H. 6 1998 A one-dimensional model of plasma expansion. Zbl 1047.76127Degond, P.; Parzani, C.; Vignal, M.-H. 5 2003 Multiscale schemes for the BGK-Vlasov-Poisson system in the quasi-neutral and fluid limits. stability analysis and first order schemes. Zbl 1382.65350Crouseilles, Nicolas; Dimarco, Giacomo; Vignal, Marie-Héléne 4 2016 Trois formulations d’un modèle de plasma quasi-neutre avec courant non nul. (Three formulations of a quasi-neutral plasma model with non-vanishing current). Zbl 1035.76061Crispel, Pierre; Degond, Pierre; Parzani, Céline; Vignal, Marie-Hélène 4 2004 Second-order implicit-explicit total variation diminishing schemes for the Euler system in the low Mach regime. Zbl 1415.76467Dimarco, Giacomo; Loubère, Raphaël; Michel-Dansac, Victor; Vignal, Marie-Hélène 3 2018 A Boltzmann model for trapped particles in a surface potential. Zbl 1117.82035Degond, Pierre; Parzani, Céline; Vignal, Marie-Hélène 2 2006 Diffusion limits of kinetic models. Zbl 1065.82019Ben Abdallah, N.; Degond, P.; Deluzet, F.; Latocha, V.; Talaalout, R.; Vignal, M. H. 2 2003 On plasma expansion in vacuum. Zbl 1045.35053Degond, Pierre; Parzani, Céline; Vignal, Marie-Hélène 2 2003 Error estimates on the approximate finite volume solution of convection diffusion equations with boundary conditions. Zbl 1052.65553Gallouët, Thierry; Herbin, Raphaèle; Vignal, Marie Hélène 1 1999 Second-order implicit-explicit total variation diminishing schemes for the Euler system in the low Mach regime. Zbl 1415.76467Dimarco, Giacomo; Loubère, Raphaël; Michel-Dansac, Victor; Vignal, Marie-Hélène 3 2018 Study of a new asymptotic preserving scheme for the Euler system in the low Mach number limit. Zbl 1391.76401Dimarco, Giacomo; Loubère, Raphaël; Vignal, Marie-Hélène 14 2017 Multiscale schemes for the BGK-Vlasov-Poisson system in the quasi-neutral and fluid limits. stability analysis and first order schemes. Zbl 1382.65350Crouseilles, Nicolas; Dimarco, Giacomo; Vignal, Marie-Héléne 4 2016 Study of a finite volume scheme for the drift-diffusion system. Asymptotic behavior in the quasi-neutral limit. Zbl 1305.65191Bessemoulin-Chatard, M.; Chainais-Hillairet, C.; Vignal, M.-H. 9 2014 Numerical approximation of the Euler-Poisson-Boltzmann model in the quasineutral limit. Zbl 1395.76047Degond, P.; Liu, H.; Savelief, D.; Vignal, M.-H. 7 2012 Asymptotic-preserving particle-in-cell method for the Vlasov-Poisson system near quasineutrality. Zbl 1346.82034Degond, Pierre; Deluzet, Fabrice; Navoret, Laurent; Sun, An-Bang; Vignal, Marie-Hélène 18 2010 A boundary layer problem for an asymptotic preserving scheme in the quasi-neutral limit for the Euler–Poisson system. Zbl 1213.35040Vignal, Marie Hélène 6 2010 An asymptotic preserving scheme for the Euler equations in a strong magnetic field. Zbl 1396.76067Degond, P.; Deluzet, F.; Sangam, A.; Vignal, M.-H. 21 2009 Analysis of an asymptotic preserving scheme for the Euler-Poisson system in the quasineutral limit. Zbl 1173.82032Degond, Pierre; Liu, Jian-Guo; Vignal, Marie-Hélène 10 2008 An asymptotic preserving scheme for the two-fluid Euler-Poisson model in the quasineutral limit. Zbl 1163.76062Crispel, Pierre; Degond, Pierre; Vignal, Marie-Hélène 36 2007 A plasma expansion model based on the full Euler-Poisson system. Zbl 1143.82027Crispel, P.; Degond, P.; Vignal, M. H. 10 2007 A Boltzmann model for trapped particles in a surface potential. Zbl 1117.82035Degond, Pierre; Parzani, Céline; Vignal, Marie-Hélène 2 2006 Quasi-neutral fluid models for current-carrying plasmas. Zbl 1087.82022Crispel, Pierre; Degond, Pierre; Vignal, Marie-Hélène 11 2005 An asymptotically stable discretization for the Euler–Poisson system in the quasi-neutral limit. Zbl 1203.76179Crispel, Pierre; Degond, Pierre; Vignal, Marie-Hélène 10 2005 Plasma expansion in vacuum: modeling the breakdown of quasi neutrality. Zbl 1068.82021Degond, Pierre; Parzani, Céline; Vignal, Marie-Hélène 9 2004 Trois formulations d’un modèle de plasma quasi-neutre avec courant non nul. (Three formulations of a quasi-neutral plasma model with non-vanishing current). Zbl 1035.76061Crispel, Pierre; Degond, Pierre; Parzani, Céline; Vignal, Marie-Hélène 4 2004 A one-dimensional model of plasma expansion. Zbl 1047.76127Degond, P.; Parzani, C.; Vignal, M.-H. 5 2003 Diffusion limits of kinetic models. Zbl 1065.82019Ben Abdallah, N.; Degond, P.; Deluzet, F.; Latocha, V.; Talaalout, R.; Vignal, M. H. 2 2003 On plasma expansion in vacuum. Zbl 1045.35053Degond, Pierre; Parzani, Céline; Vignal, Marie-Hélène 2 2003 A model for plasma expansion in vacuum. Zbl 1140.76499Degond, Pierre; Parzani, Céline; Vignal, Marie-Hélène 6 2002 Viscous limits for one-dimensional Fokker-Planck-Burgers type systems. Zbl 1067.76090Domelevo, Komla; Vignal, Marie-Hélène 7 2001 Error estimates on the approximate finite volume solution of convection diffusion equations with boundary conditions. Zbl 1052.65553Gallouët, Thierry; Herbin, Raphaèle; Vignal, Marie Hélène 1 1999 Numerical and theoretical study of a dual mesh method using finite volume schemes for two-phase flow problems in porous media. Zbl 0912.76063Verdière, S.; Vignal, M. H. 6 1998 Convergence of a finite volume scheme for an elliptic-hyperbolic system. Zbl 0861.65084Vignal, M. H. 9 1996 all cited Publications top 5 cited Publications all top 5 Cited by 237 Authors 17 Degond, Pierre 14 Vignal, Marie-Hélène 8 Deluzet, Fabrice 8 Wang, Shu 8 Yang, Jianwei 5 Barbieri, Luca 5 Crispel, Pierre 5 Dimarco, Giacomo 5 Eymard, Robert 5 Malgesini, Roberto 5 Villa, Andrea 4 Chainais-Hillairet, Claire 4 Gondola, Marco 3 Berthon, Christophe 3 Brull, Stephane 3 Gallouët, Thierry 3 Goudon, Thierry 3 Hérard, Jean-Marc 3 Herbin, Raphaèle 3 Leon-Garzon, Andres R. 3 Loubère, Raphaël 3 Navoret, Laurent 3 Parzani, Céline 3 Turpault, Rodolphe 2 Amaziane, Brahim 2 Benkhaldoun, Fayssal 2 Besse, Christophe 2 Bessemoulin-Chatard, Marianne 2 Bianca, Carlo 2 Bouchut, François 2 Carrillo de la Plata, José Antonio 2 Chacón, Luis 2 Chalons, Christophe 2 Chen, Guangye 2 Crouseilles, Nicolas 2 Daude, Frédéric 2 Dubroca, Bruno 2 Elmahi, Imad 2 Franck, Emmanuel 2 Galon, Pascal 2 He, Dongdong 2 Iampietro, David 2 Kumbaro, Anela 2 Li, Yong 2 Macheret, Sergey O. 2 Mieussens, Luc 2 Motta, Santo 2 Negulescu, Claudia 2 Pan, Kejia 2 Parent, Bernard 2 Pu, Xueke 2 Savelief, D. 2 Shneider, Mikhail N. 2 Vohralík, Martin 2 Wang, Dehua 2 Yang, Chang 2 Yu, Cheng 1 Abbate, Emanuela 1 Afif, Mohammed 1 Amano, Takanobu 1 Arienti, Marco 1 Arun, K. R. 1 Badsi, Mehdi 1 Bao, Weizhu 1 Baranger, Céline 1 Barnes, David C. 1 Belaouar, Radoin 1 Ben Abdallah, Nadia 1 Boscarino, Sebastiano 1 Boscheri, Walter 1 Bourdarias, Christian 1 Bruel, Pascal 1 Bruyelle, Jérémie 1 Buet, Christophe 1 Burby, J. W. 1 Cáceres, María-José 1 Cancès, Clément 1 Charrier, Pierre 1 Chen, Gang 1 Chen, Robin Ming 1 Chen, Zhiming 1 Cheng, Yingda 1 Chertock, Alina E. 1 Choquet, Isabelle 1 Christlieb, Andrew J. 1 Claustre, Jonathan 1 Coppa, Gianni G. M. 1 Cordier, Floraine 1 D’Angola, A. 1 de Laage de Meux, Benoît 1 Debenest, Gérald 1 Del Pino, Stéphane 1 Delebecque-Fendt, Fanny 1 Delmas, Simon 1 Demay, Charles 1 Deriaz, Erwan 1 Després, Bruno 1 Desvillettes, Laurent 1 Deuring, Paul 1 Di Pietro, Daniele Antonio ...and 137 more Authors all top 5 Cited in 44 Serials 31 Journal of Computational Physics 8 Journal of Scientific Computing 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Mathematics of Computation 4 Applied Mathematics and Computation 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Kinetic and Related Models 3 Computer Methods in Applied Mechanics and Engineering 3 Numerische Mathematik 3 Mathematical and Computer Modelling 3 SIAM Journal on Scientific Computing 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 Computational Geosciences 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Multiscale Modeling & Simulation 2 Archive for Rational Mechanics and Analysis 2 Computers and Fluids 2 Computers & Mathematics with Applications 2 Communications in Mathematical Physics 2 Journal of Mathematical Physics 2 Journal of Computational and Applied Mathematics 2 SIAM Journal on Numerical Analysis 2 Applied Numerical Mathematics 2 Numerical Methods for Partial Differential Equations 2 Journal of Mathematical Fluid Mechanics 2 Journal of Applied Mathematics 2 Science China. Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 International Journal of Control 1 Journal of Mathematical Analysis and Applications 1 Journal of Differential Equations 1 Quarterly of Applied Mathematics 1 Chinese Annals of Mathematics. Series B 1 Applied Mathematics Letters 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Partial Differential Equations 1 Engineering Analysis with Boundary Elements 1 Computing and Visualization in Science 1 Mathematical and Computer Modelling of Dynamical Systems 1 Communications in Nonlinear Science and Numerical Simulation 1 Nonlinear Analysis. Real World Applications 1 Journal of Numerical Mathematics 1 Journal of Hyperbolic Differential Equations 1 Electronic Research Archive all top 5 Cited in 14 Fields 84 Fluid mechanics (76-XX) 71 Numerical analysis (65-XX) 63 Partial differential equations (35-XX) 41 Statistical mechanics, structure of matter (82-XX) 10 Optics, electromagnetic theory (78-XX) 3 Mechanics of deformable solids (74-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Geophysics (86-XX) 2 Integral equations (45-XX) 2 Astronomy and astrophysics (85-XX) 2 Systems theory; control (93-XX) 1 Approximations and expansions (41-XX) 1 Probability theory and stochastic processes (60-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year