Edit Profile (opens in new tab) Gallouët, Thierry Compute Distance To: Compute Author ID: gallouet.thierry Published as: Gallouët, Thierry; Gallouët, T.; Gallouet, Thierry; Gallouet, T.; Gallouët, Thiery more...less Homepage: https://www.i2m.univ-amu.fr/perso/thierry.gallouet/ External Links: MGP · ORCID · ResearchGate · dblp · IdRef · theses.fr Documents Indexed: 172 Publications since 1978, including 2 Books 1 Contribution as Editor Co-Authors: 90 Co-Authors with 161 Joint Publications 1,792 Co-Co-Authors all top 5 Co-Authors 12 single-authored 65 Herbin, Raphaèle 50 Eymard, Robert 19 Boccardo, Lucio 19 Latché, Jean-Claude 16 Hérard, Jean-Marc 13 Droniou, Jérôme 10 Seguin, Nicolas 5 Guichard, Cindy 5 Kavian, Otared 5 Maltese, David 5 Masson, Roland 5 Morel, Jean-Michel 4 Hilhorst, Danielle 4 Novotný, Antonín 4 Orsina, Luigi 3 Bauzet, Caroline 3 Buffard, Thierry 3 Charrier, Julia 3 Fettah, A. 3 Gervais, Véronique 3 Helluy, Philippe 3 Hurisse, Olivier 3 Murat, François 3 Vazquez, Juan Luis 2 Bradji, Abdallah 2 Cancès, Clément 2 Champier, Sylvie 2 Coquel, Frédéric 2 Dall’Aglio, Andrea 2 Dolejší, Vít 2 Faille, Isabelle 2 Granjeon, Didier 2 Gutnic, Michaël 2 Hubert, Florence 2 Larcher, Aurélien 2 Linke, Alexander 2 Mallem, K. 2 Masella, Jean-Marie 2 Nussbaum, Julien 2 Simon, Jacques 2 Tran, Quang Huy 2 Vovelle, Julien 1 Akbas, Mine 1 Angot, Philippe 1 Babik, Fabrice 1 Bejček, Michal 1 Bénilan, Philippe 1 Berestycki, Henri 1 Boyer, Franck 1 Brézis, Haïm 1 Cacas, Marie Christine 1 Cautrès, René 1 Chénier, Eric 1 Coudière, Yves 1 Fabrie, Pierre 1 Feistauer, Miloslav 1 Feron, Pierre 1 Gariepy, Ron 1 Gassmann, Almut 1 Gastaldo, Laura 1 Gerbi, Stéphane 1 Ghilani, Mustapha 1 Guérillot, Dominique 1 Hájek, Jaroslav 1 Havé, Pascal 1 Lakehal, H. 1 Lederer, Johannes 1 Leroux, Alain-Yves 1 Lewandowski, Roger 1 Mainguy, M. 1 Marcellini, Paolo 1 Merdon, Christian 1 Michel, Anthony 1 Mignot, Fulbert 1 Monier, Antoine 1 Naït Slimane, Y. 1 Nasseri, Youssouf 1 Nguyen, Trung Tan 1 Pianelo, L. 1 Pierre, Michel 1 Porretta, Alessio 1 Puel, Jean-Pierre 1 Sire, Yannick 1 Suard, Sylvain 1 Tartar, Luc C. 1 Therme, Nicolas 1 Tunc, Xavier 1 Vignal, Marie-Hélène 1 Vila, Jean-Paul 1 Vola, Didier all top 5 Serials 7 SIAM Journal on Numerical Analysis 6 IMA Journal of Numerical Analysis 6 Mathematics of Computation 6 Comptes Rendus de l’Académie des Sciences. Série I 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 Nonlinear Analysis. Theory, Methods & Applications 4 Calcolo 4 Numerische Mathematik 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Computers and Fluids 3 Chinese Annals of Mathematics. Series B 3 RAIRO. Modélisation Mathématique et Analyse Numérique 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 3 International Journal on Finite Volumes 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Differential Equations 2 Journal of Functional Analysis 2 Mathematics and Computers in Simulation 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 2 Differential and Integral Equations 2 Acta Mathematica Universitatis Comenianae. New Series 2 Communications in Partial Differential Equations 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Computing and Visualization in Science 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 Computational Geosciences 2 Journal of Evolution Equations 2 Computational Methods in Applied Mathematics 2 S\(\vec{\text{e}}\)MA Journal 1 International Journal for Numerical Methods in Fluids 1 Journal d’Analyse Mathématique 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Czechoslovak Mathematical Journal 1 International Journal for Numerical Methods in Engineering 1 Journal of Computational and Applied Mathematics 1 Portugaliae Mathematica 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Numerical Mathematics 1 Applied Mathematics Letters 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Bollettino della Unione Matemàtica Italiana. Serie VI. A 1 Advances in Mathematical Sciences and Applications 1 Electronic Journal of Differential Equations (EJDE) 1 Computational and Applied Mathematics 1 Journal of Convex Analysis 1 Advances in Differential Equations 1 International Journal of Computational Fluid Dynamics 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Interfaces and Free Boundaries 1 Foundations of Computational Mathematics 1 Comptes Rendus. Mécanique. Académie des Sciences, Paris 1 Journal of Numerical Mathematics 1 Communications on Pure and Applied Analysis 1 Mathématiques & Applications (Berlin) 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Références Sciences all top 5 Fields 116 Partial differential equations (35-XX) 93 Numerical analysis (65-XX) 73 Fluid mechanics (76-XX) 8 Geophysics (86-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 4 Operator theory (47-XX) 4 Probability theory and stochastic processes (60-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Functional analysis (46-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 140 Publications have been cited 4,870 times in 2,902 Documents Cited by ▼ Year ▼ Finite volume methods. Zbl 0981.65095Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 496 2000 Nonlinear elliptic and parabolic equations involving measure data. Zbl 0707.35060Boccardo, Lucio; Gallouët, Thierry 494 1989 An \(L^ 1\)-theory of existence and uniqueness of solutions of nonlinear elliptic equations. Zbl 0866.35037Bénilan, Philippe; Boccardo, Lucio; Gallouët, Thierry; Gariepy, Ron; Pierre, Michel; Vazquez, Juan Luis 398 1995 Nonlinear elliptic equations with right hand side measures. Zbl 0812.35043Boccardo, L.; Gallouet, T. 287 1992 Nonlinear Schrödinger evolution equations. Zbl 0451.35023Brézis, Haïm; Gallouet, T. 275 1980 Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: A scheme using stabilization and hybrid interfaces. Zbl 1202.65144Eymard, R.; Gallouët, T.; Herbin, R. 158 2010 Nonlinear parabolic equations with measure data. Zbl 0887.35082Boccardo, Lucio; Dall’Aglio, Andrea; Gallouët, Thierry; Orsina, Luigi 158 1997 Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data. Zbl 0857.35126Boccardo, Lucio; Gallouët, Thierry; Orsina, Luigi 144 1996 Some approximate Godunov schemes to compute shallow-water equations with topography. Zbl 1084.76540Gallouët, Thierry; Hérard, Jean-Marc; Seguin, Nicolas 123 2003 Équations de champs scalaires euclidiens non linéaires dans le plan. Zbl 0544.35042Berestycki, Henri; Gallouët, Thierry; Kavian, Otared 117 1983 A unified approach to mimetic finite difference, hybrid finite volume and mixed finite volume methods. Zbl 1191.65142Jérôme; Droniou; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 111 2010 Convergence of a finite volume scheme for nonlinear degenerate parabolic equations. Zbl 1005.65099Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle; Michel, Anthony 77 2002 Nonlinear elliptic equations in \(\mathbb{R}^ N\) without growth restrictions on the data. Zbl 0810.35021Boccardo, Lucio; Gallouët, Thierry; Vazquez, Juan Luis 74 1993 Gradient schemes: a generic framework for the discretisation of linear, nonlinear and nonlocal elliptic and parabolic equations. Zbl 1281.65136Droniou, Jerome; Eymard, Robert; Gallouet, Thierry; Herbin, Raphaele 66 2013 The gradient discretisation method. Zbl 1435.65005Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Guichard, Cindy; Herbin, Raphaèle 63 2018 Strongly nonlinear elliptic equations having natural growth terms and \(L^ 1\) data. Zbl 0795.35031Boccardo, L.; Gallouet, T. 62 1992 A cell-centred finite-volume approximation for anisotropic diffusion operators on unstructured meshes in any space dimension. Zbl 1093.65110Eymard, R.; Gallouët, T.; Herbin, R. 61 2006 Numerical modeling of two-phase flows using the two-fluid two-pressure approach. Zbl 1177.76428Gallouët, Thierry; Hérard, Jean-Marc; Seguin, Nicolas 60 2004 A sequel to a rough Godunov scheme: Application to real gases. Zbl 0961.76048Buffard, Thierry; Gallouët, Thierry; Hérard, Jean-Marc 56 2000 Existence and nonexistence of solutions for some nonlinear elliptic equations. Zbl 0898.35035Boccardo, Lucio; Gallouët, Thierry; Orsina, Luigi 53 1997 Résultats d’existence et de non-existence pour certains problèmes demi- linéaires à l’infini. Zbl 0495.35001Gallouet, Thierry; Kavian, Otared 52 1981 Error estimates for the approximate solutions of a nonlinear hyperbolic equation given by finite volume schemes. Zbl 0973.65078Eymard, R.; Gallouët, T.; Ghilani, M.; Herbin, R. 52 1998 Global solution and smoothing effect for a non-local regularization of a hyperbolic equation. Zbl 1036.35123Droniou, J.; Gallouët, T.; Vovelle, J. 51 2003 Closure laws for a two-fluid two-pressure model. Zbl 0999.35057Coquel, Frédéric; Gallouët, Thierry; Hérard, Jean-Marc; Seguin, Nicolas 41 2002 Anisotropic equations in \(L^ 1\). Zbl 0838.35048Boccardo, L.; Gallouet, T.; Marcellini, P. 40 1996 An unconditionally stable pressure correction scheme for the compressible barotropic Navier-Stokes equations. Zbl 1132.35433Gallouët, Thierry; Gastaldo, Laura; Herbin, Raphaele; Latché, Jean-Claude 40 2008 Some recent finite volume schemes to compute Euler equations using real gas EOS. Zbl 1053.76044Gallouët, T.; Hérard, J.-M.; Seguin, N. 34 2002 Modeling wells in porous media flow. Zbl 1018.76044Fabrie, Pierre; Gallouët, Thierry 33 2000 On an approximate Godunov scheme. Zbl 0944.76041Masella, Jean-Marie; Faille, Isabelle; Gallouët, Thierry 32 1999 Resolution of a semilinear equation in \(L^ 1\). Zbl 0573.35030Gallouët, Thierry; Morel, Jean-Michel 32 1984 A model for conductive faults with non-matching grids. Zbl 1348.76167Tunc, Xavier; Faille, Isabelle; Gallouët, Thierry; Cacas, Marie Christine; Havé, Pascal 31 2012 Compactness of discrete approximate solutions to parabolic PDEs – application to a turbulence model. Zbl 1308.35208Gallouët, T.; Latché, J.-C. 31 2012 A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis. Zbl 1112.65120Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 29 2007 Finite volume approximation of elliptic problems and convergence of an approximate gradient. Zbl 0982.65122Eymard, R.; Gallouët, T.; Herbin, R. 29 2001 Discrete Sobolev inequalities and \(L^p\) error estimates for finite volume solutions of convection diffusion equations. Zbl 0990.65122Coudière, Yves; Gallouët, Thierry; Herbin, Raphaèle 29 2001 TP or not TP, that is the question. Zbl 1378.76118Eymard, R.; Gallouët, T.; Guichard, C.; Herbin, R.; Masson, R. 28 2014 Unicité de la solution de certaines équations elliptiques non linéaires. (Uniqueness of the solution of some nonlinear elliptic equations). Zbl 0789.35056Boccardo, Lucio; Gallouët, Thierry; Murat, François 28 1992 Resonance for jumping non-linearities. Zbl 0497.35080Gallouet, Thierry; Kavian, Otared 27 1982 A convergent finite element-finite volume scheme for the compressible Stokes problem. I: The isothermal case. Zbl 1223.76041Gallouët, T.; Herbin, R.; Latché, J.-C. 27 2009 Existence of a solution to a coupled elliptic system. Zbl 0791.35043Gallouët, T.; Herbin, R. 25 1994 Existence and uniqueness of the entropy solution to a nonlinear hyperbolic equation. Zbl 0830.35077Eymard, R.; Gallouët, T.; Herbin, R. 25 1995 \(W^{1,1}_0\) solutions in some borderline cases of Calderón-Zygmund theory. Zbl 1266.35045Boccardo, Lucio; Gallouët, Thierry 24 2012 Error estimates on the approximate finite volume solution of convection diffusion equations with general boundary conditions. Zbl 0986.65099Gallouët, Thierry 24 2000 H-convergence and numerical schemes for elliptic problems. Zbl 1049.35015Eymard, Robert; Gallouët, Thierry 24 2003 Convergence of finite volume schemes for semilinear convection diffusion equations. Zbl 0930.65118Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 24 1999 A rough Godunov scheme. (Un schéma de Godunov approché.) Zbl 0856.76045Gallouët, Thierry; Masella, Jean-Marie 22 1996 Two-phase flows involving capillary barriers in heterogeneous porous media. Zbl 1178.35196Cancès, Clément; Gallouët, Thierry; Porretta, Alessio 22 2009 Problèmes unilatéraux avec données dans \(L^ 1\). (Unilateral problems with \(L^ 1\) data). Zbl 0715.49013Boccardo, Lucio; Gallouet, Thierry 22 1990 A convergent finite element-finite volume scheme for the compressible Stokes problem. II: The isentropic case. Zbl 1197.35192Eymard, R.; Gallouët, T.; Herbin, R.; Latché, J. C. 21 2010 Existence and regularity results for some nonlinear parabolic equations. Zbl 0962.35093Boccardo, Lucio; Dall’Aglio, Andrea; Gallouët, Thierry; Orsina, Luigi 20 1999 On the time continuity of entropy solutions. Zbl 1232.35029Cancès, Clément; Gallouët, Thierry 20 2011 Convergence of a finite volume scheme for a nonlinear hyperbolic equation. Zbl 0843.65068Eymard, R.; Gallouët, T.; Herbin, R. 20 1995 Finite volumes and nonlinear diffusion equations. Zbl 0914.65101Eymard, R.; Gallouët, T.; Hilhorst, D.; Naït Slimane, Y. 20 1998 Convergence of the MAC scheme for the compressible Stokes equations. Zbl 1417.65185Eymard, R.; Gallouët, T.; Herbin, R.; Latché, J.-C. 20 2010 On the regularity of solutions to elliptic equations. Zbl 0961.35036Gallouet, T.; Monier, A. 19 1999 A finite volume scheme for a noncoercive elliptic equation with measure data. Zbl 1058.65127Droniou, Jérôme; Gallouët, Thierry; Herbin, Raphaèle 19 2003 On a turbulent system with unbounded eddy viscosities. Zbl 1013.35068Gallouët, T.; Lederer, J.; Lewandowski, R.; Murat, F.; Tartar, L. 18 2003 Convergence of an upstream finite volume scheme for a nonlinear hyperbolic equation on a triangular mesh. Zbl 0801.65089Champier, S.; Gallouët, T.; Herbin, R. 17 1993 Numerical approximation of an elliptic-parabolic equation arising in environment. Zbl 1060.76075Eymard, R.; Gallouët, T.; Gutnic, M.; Herbin, R.; Hilhorst, D. 15 2000 A unified presentation of two existence results for problems with natural growth. Zbl 0806.35033Boccardo, L.; Gallouët, T.; Murat, F. 15 1993 Error estimate for approximate solutions of a nonlinear convection-diffusion problem. Zbl 1173.35563Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 15 2002 An error estimate for the approximation of linear parabolic equations by the gradient discretization method. Zbl 1372.65256Droniou, J.; Eymard, R.; Gallouët, T.; Guichard, C.; Herbin, R. 14 2017 On the use of symmetrizing variables for vacuums. Zbl 1072.76042Gallouët, T.; Hérard, J.-M.; Seguin, N. 14 2003 Finite volume schemes for the biharmonic problem on general meshes. Zbl 1271.65135Eymard, R.; Gallouët, T.; Herbin, R.; Linke, A. 13 2012 A hybrid scheme to compute contact discontinuities in one-dimensional Euler systems. Zbl 1137.65419Gallouët, Thierry; Hérard, Jean-Marc; Seguin, Nicolas 13 2002 Convergence of a finite element/finite volume type scheme for a system formed by an elleptic equation and a hyperbolic equation. (Convergence d’un schéma de type éléments finis-volumes finis pour un système formé d’une équation elliptique et d’une équation hyperbolique.) Zbl 0792.65073Eymard, R.; Gallouët, T. 13 1993 A finite volume scheme for anisotropic diffusion problems. Zbl 1055.65124Eymard, Robert; Gallouët, Thierry; Herbin, Raphaéle 13 2004 SUSHI: a scheme using stabilization and hybrid interfaces for anisotropic heterogeneous diffusion problems. Zbl 1422.65310Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 12 2008 Analysis tools for finite volume schemes. Zbl 1133.65062Eymard, Robert; Gallouët, Thiery; Herbin, Raphaele; Latché, Jean Claude 11 2007 Multi-lithology stratigraphic model under maximum erosion rate constraint. Zbl 1098.76618Eymard, R.; Gallouët, T.; Granjeon, D.; Masson, R.; Tran, Q. H. 11 2004 Solutions of nonlinear parabolic equations without growth restrictions on the data. Zbl 0993.35055Boccardo, Lucio; Gallouët, Thierry; Vazquez, Juan Luis 11 2001 Convergence of monotone finite volume schemes for hyperbolic scalar conservation laws with multiplicative noise. Zbl 1358.65007Bauzet, C.; Charrier, J.; Gallouët, T. 10 2016 Approximation by the finite volume method of an elliptic-parabolic equation arising in environmental studies. Zbl 1173.76359Eymard, R.; Gallouët, T.; Herbin, R.; Gutnic, M.; Hilhorst, D. 10 2001 Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids. Zbl 1179.65138Eymard, R.; Gallouët, T.; Herbin, R. 10 2009 Convergence of flux-splitting finite volume schemes for hyperbolic scalar conservation laws with a multiplicative stochastic perturbation. Zbl 1351.65003Bauzet, C.; Charrier, J.; Gallouët, T. 10 2016 A few results on the equation \(-\Delta u=\lambda e^ u\). (Quelques résultats sur le problème \(-\Delta u=\lambda e^ u\).) Zbl 0697.35048Gallouet, Thierry; Mignot, Fulbert; Puel, Jean-Pierre 10 1988 Error estimates for a numerical approximation to the compressible barotropic Navier-Stokes equations. Zbl 1433.76083Gallouët, Thierry; Herbin, Raphaèle; Maltese, David; Novotny, Antonin 9 2016 Error estimates for the implicit MAC scheme for the compressible Navier-Stokes equations. Zbl 1412.35253Gallouët, Thierry; Maltese, David; Novotny, Antonin 9 2019 The equation \(-\Delta u+| u| ^{\alpha -1}u=f\), for 0\(\leq \alpha \leq 1\). Zbl 0659.35036Gallouët, Thierry; Morel, Jean-Michel 9 1987 Hyperbolic relaxation models for granular flows. Zbl 1258.76180Gallouët, Thierry; Helluy, Philippe; Hérard, Jean-Marc; Nussbaum, Julien 9 2010 Finite volume methods for convection-diffusion equations with right-hand side in \(H^{-1}\). Zbl 1070.65566Droniou, Jérôme; Gallouët, Thierry 8 2002 Hybrid finite element techniques for oil recovery simulation. Zbl 0687.76101Eymard, R.; Gallouët, T.; Joly, P. 8 1989 Existence and control of plasma equilibrium in a Tokamak. Zbl 0614.35082Blum, J.; Gallouet, T.; Simon, J. 7 1986 Quelques remarques sur une équation apparaissant en physique des plasmas. Zbl 0376.35015Gallouet, Thierry 7 1978 W\(^{1,q }\) stability of the Fortin operator for the MAC scheme. Zbl 1248.76109Gallouët, T.; Herbin, R.; Latché, J.-C. 7 2012 Modelling compressible multiphase flows. Zbl 1329.76349Coquel, Frédéric; Gallouët, Thierry; Helluy, Philippe; Hérard, Jean-Marc; Hurisse, Olivier; Seguin, Nicolas 7 2013 A naive scheme to solve shallow-water equations. (Un schéma simple pour les équations de Saint-Venant.) Zbl 0926.76064Buffard, Thierry; Gallouet, Thierry; Hérard, Jean-Marc 7 1998 Summability of the solutions of nonlinear elliptic equations with right hand side measures. Zbl 0869.35108Boccardo, Lucio; Gallouet, Thierry 6 1996 Finite volume approximation of elliptic problems with irregular data. Zbl 1052.65552Gallouët, Thierry; Herbin, Raphaèle 6 1999 Convergence of finite volume methods on general meshes for non smooth solution of elliptic problems with cracks. Zbl 1052.65557Angot, Philippe; Gallouët, Thierry; Herbin, Raphaèle 6 1999 Discretization schemes for linear diffusion operators on general non-conforming meshes. Zbl 1422.65309Eymard, R.; Gallouët, T.; Herbin, R. 6 2008 A uniqueness result for quasilinear elliptic equations with measures as data. Zbl 1086.35039Droniou, J.; Gallouët, T. 6 2001 Convergence of linear finite elements for diffusion equations with measure data. Zbl 1038.65110Gallouët, Thierry; Herbin, Raphaèle 6 2004 On some semilinear problems in \(L^ 1\). Zbl 0585.35033Gallouët, T.; Morel, J. M. 5 1985 Convergence of the MAC scheme for the compressible stationary Navier-Stokes equations. Zbl 1390.35231Gallouët, T.; Herbin, R.; Latché, J.-C.; Maltese, D. 5 2018 Homogenization with jumping nonlinearities. Zbl 0568.35038Boccardo, L.; Gallouet, T. 5 1984 Convergence of a numerical scheme for stratigraphic modeling. Zbl 1096.35005Eymard, R.; Gallouët, T.; Gervais, V.; Masson, R. 5 2005 An extension of the MAC scheme to locally refined meshes: convergence analysis for the full tensor time-dependent Navier-Stokes equations. Zbl 1310.76105Chénier, Eric; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 5 2015 On the convergence of the parabolic approximation of a conservation law in several space dimensions. Zbl 0922.35091Gallouët, T.; Hubert, F. 5 1999 Combined triangular FV-triangular FE method for nonlinear convection-diffusion problems. Zbl 1128.65079Bejček, Michal; Feistauer, Miloslav; Gallouët, Thierry; Hájek, Jaroslav; Herbin, Raphaelle 4 2007 Consistent internal energy based schemes for the compressible Euler equations. Zbl 1498.65141Gallouët, T.; Herbin, R.; Latché, J.-C.; Therme, N. 2 2021 A gradient-robust well-balanced scheme for the compressible isothermal Stokes problem. Zbl 1442.76059Akbas, M.; Gallouët, T.; Gassmann, A.; Linke, A.; Merdon, C. 3 2020 The gradient discretisation method for linear advection problems. Zbl 1451.65175Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 2 2020 Error estimates for the implicit MAC scheme for the compressible Navier-Stokes equations. Zbl 1412.35253Gallouët, Thierry; Maltese, David; Novotny, Antonin 9 2019 On the weak consistency of finite volumes schemes for conservation laws on general meshes. Zbl 1434.65149Gallouët, T.; Herbin, R.; Latché, J.-C. 4 2019 The gradient discretisation method. Zbl 1435.65005Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Guichard, Cindy; Herbin, Raphaèle 63 2018 Convergence of the MAC scheme for the compressible stationary Navier-Stokes equations. Zbl 1390.35231Gallouët, T.; Herbin, R.; Latché, J.-C.; Maltese, D. 5 2018 Convergence of the marker-and-cell scheme for the incompressible Navier-Stokes equations on non-uniform grids. Zbl 1459.65168Gallouët, T.; Herbin, R.; Latché, J.-C.; Mallem, K. 4 2018 Discrete functional analysis tools for some evolution equations. Zbl 1401.65097Gallouët, Thierry 2 2018 An error estimate for the approximation of linear parabolic equations by the gradient discretization method. Zbl 1372.65256Droniou, J.; Eymard, R.; Gallouët, T.; Guichard, C.; Herbin, R. 14 2017 Numerical approximation of stochastic conservation laws on bounded domains. Zbl 1368.65007Bauzet, Caroline; Charrier, Julia; Gallouët, Thierry 3 2017 Some discrete functional analysis tools. Zbl 1391.76408Gallouët, Thierry 3 2017 Convergence of the marker-and-cell scheme for the semi-stationary compressible Stokes problem. Zbl 07313829Gallouët, T.; Herbin, R.; Maltese, D.; Novotny, A. 1 2017 Convergence of monotone finite volume schemes for hyperbolic scalar conservation laws with multiplicative noise. Zbl 1358.65007Bauzet, C.; Charrier, J.; Gallouët, T. 10 2016 Convergence of flux-splitting finite volume schemes for hyperbolic scalar conservation laws with a multiplicative stochastic perturbation. Zbl 1351.65003Bauzet, C.; Charrier, J.; Gallouët, T. 10 2016 Error estimates for a numerical approximation to the compressible barotropic Navier-Stokes equations. Zbl 1433.76083Gallouët, Thierry; Herbin, Raphaèle; Maltese, David; Novotny, Antonin 9 2016 Compactness of minimizing sequences. Zbl 1337.49016Boccardo, Lucio; Gallouet, Thierry 4 2016 Analysis of a fractional-step scheme for the \(\mathbf P_1\) radiative diffusion model. Zbl 1350.65094Gallouët, T.; Herbin, R.; Larcher, A.; Latché, J.-C. 1 2016 An extension of the MAC scheme to locally refined meshes: convergence analysis for the full tensor time-dependent Navier-Stokes equations. Zbl 1310.76105Chénier, Eric; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 5 2015 TP or not TP, that is the question. Zbl 1378.76118Eymard, R.; Gallouët, T.; Guichard, C.; Herbin, R.; Masson, R. 28 2014 An existence proof for the stationary compressible Stokes problem. Zbl 1304.35541Fettah, A.; Gallouët, T.; Lakehal, H. 1 2014 Gradient schemes: a generic framework for the discretisation of linear, nonlinear and nonlocal elliptic and parabolic equations. Zbl 1281.65136Droniou, Jerome; Eymard, Robert; Gallouet, Thierry; Herbin, Raphaele 66 2013 Modelling compressible multiphase flows. Zbl 1329.76349Coquel, Frédéric; Gallouët, Thierry; Helluy, Philippe; Hérard, Jean-Marc; Hurisse, Olivier; Seguin, Nicolas 7 2013 Numerical approximation of the general compressible Stokes problem. Zbl 1451.76104Fettah, A.; Gallouët, T. 3 2013 Measure, integration, probability. (Mesure, intégration, probabilités.) Zbl 1273.28001Gallouët, Thierry; Herbin, Raphaèle 2 2013 Gradient schemes for the Stefan problem. Zbl 1482.65162Eymard, Robert; Féron, Pierre; Gallouët, Thierry; Herbin, Raphaèle; Guichard, Cindy 1 2013 A model for conductive faults with non-matching grids. Zbl 1348.76167Tunc, Xavier; Faille, Isabelle; Gallouët, Thierry; Cacas, Marie Christine; Havé, Pascal 31 2012 Compactness of discrete approximate solutions to parabolic PDEs – application to a turbulence model. Zbl 1308.35208Gallouët, T.; Latché, J.-C. 31 2012 \(W^{1,1}_0\) solutions in some borderline cases of Calderón-Zygmund theory. Zbl 1266.35045Boccardo, Lucio; Gallouët, Thierry 24 2012 Finite volume schemes for the biharmonic problem on general meshes. Zbl 1271.65135Eymard, R.; Gallouët, T.; Herbin, R.; Linke, A. 13 2012 W\(^{1,q }\) stability of the Fortin operator for the MAC scheme. Zbl 1248.76109Gallouët, T.; Herbin, R.; Latché, J.-C. 7 2012 Convergence of a finite volume scheme for the convection-diffusion equation with \(\text{L}^{1}\) data. Zbl 1246.35018Gallouët, T.; Larcher, A.; Latché, J. C. 3 2012 On the time continuity of entropy solutions. Zbl 1232.35029Cancès, Clément; Gallouët, Thierry 20 2011 Some possibly degenerate elliptic problems with measure data and non linearity on the boundary. Zbl 1234.35113Gallouët, Thierry; Sire, Yannick 1 2011 Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: A scheme using stabilization and hybrid interfaces. Zbl 1202.65144Eymard, R.; Gallouët, T.; Herbin, R. 158 2010 A unified approach to mimetic finite difference, hybrid finite volume and mixed finite volume methods. Zbl 1191.65142Jérôme; Droniou; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 111 2010 A convergent finite element-finite volume scheme for the compressible Stokes problem. II: The isentropic case. Zbl 1197.35192Eymard, R.; Gallouët, T.; Herbin, R.; Latché, J. C. 21 2010 Convergence of the MAC scheme for the compressible Stokes equations. Zbl 1417.65185Eymard, R.; Gallouët, T.; Herbin, R.; Latché, J.-C. 20 2010 Hyperbolic relaxation models for granular flows. Zbl 1258.76180Gallouët, Thierry; Helluy, Philippe; Hérard, Jean-Marc; Nussbaum, Julien 9 2010 A convergent finite element-finite volume scheme for the compressible Stokes problem. I: The isothermal case. Zbl 1223.76041Gallouët, T.; Herbin, R.; Latché, J.-C. 27 2009 Two-phase flows involving capillary barriers in heterogeneous porous media. Zbl 1178.35196Cancès, Clément; Gallouët, Thierry; Porretta, Alessio 22 2009 Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids. Zbl 1179.65138Eymard, R.; Gallouët, T.; Herbin, R. 10 2009 An unconditionally stable pressure correction scheme for the compressible barotropic Navier-Stokes equations. Zbl 1132.35433Gallouët, Thierry; Gastaldo, Laura; Herbin, Raphaele; Latché, Jean-Claude 40 2008 SUSHI: a scheme using stabilization and hybrid interfaces for anisotropic heterogeneous diffusion problems. Zbl 1422.65310Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 12 2008 Discretization schemes for linear diffusion operators on general non-conforming meshes. Zbl 1422.65309Eymard, R.; Gallouët, T.; Herbin, R. 6 2008 A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis. Zbl 1112.65120Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 29 2007 Analysis tools for finite volume schemes. Zbl 1133.65062Eymard, Robert; Gallouët, Thiery; Herbin, Raphaele; Latché, Jean Claude 11 2007 Combined triangular FV-triangular FE method for nonlinear convection-diffusion problems. Zbl 1128.65079Bejček, Michal; Feistauer, Miloslav; Gallouët, Thierry; Hájek, Jaroslav; Herbin, Raphaelle 4 2007 Finite volume schemes for nonlinear parabolic problems: another regularization method. Zbl 1134.35069Eymard, Robert; Gallouët, Thierry; Herbin, Raphaele 2 2007 A partial differential inequality in geological models. Zbl 1136.76047Eymard, Robert; Gallouët, Thierry 2 2007 A cell-centred finite-volume approximation for anisotropic diffusion operators on unstructured meshes in any space dimension. Zbl 1093.65110Eymard, R.; Gallouët, T.; Herbin, R. 61 2006 Analytical and numerical study of a model of erosion and sedimentation. Zbl 1145.76047Eymard, Robert; Gallouët, Thierry 4 2006 Well-balanced schemes versus fractional step method for hyperbolic system with source terms. Zbl 1117.65120Gallouet, Thierry; Hérad, Jean-Mare; Hurisse, Olivier; Le Roux, Alain-Yves 2 2006 Convergence of a numerical scheme for stratigraphic modeling. Zbl 1096.35005Eymard, R.; Gallouët, T.; Gervais, V.; Masson, R. 5 2005 On two fractional step finite volume and finite element schemes for reactive low Mach number flows. Zbl 1374.76112Babik, Fabrice; Gallouët, Thierry; Latché, Jean-Claude; Suard, Sylvain; Vola, Didier 2 2005 Finite volume approximation for an oblique derivative boundary value problem. Zbl 1422.65336Bradji, Abdallah; Gallouët, Thierry 1 2005 On finite volume schemes for nonconservative hyperbolic problems. Zbl 1374.76132Dolejší, Vít; Gallouët, Thierry 1 2005 Measure data and numerical schemes for elliptic problems. Zbl 1121.35043Gallouët, Thierry 1 2005 Numerical modeling of two-phase flows using the two-fluid two-pressure approach. Zbl 1177.76428Gallouët, Thierry; Hérard, Jean-Marc; Seguin, Nicolas 60 2004 A finite volume scheme for anisotropic diffusion problems. Zbl 1055.65124Eymard, Robert; Gallouët, Thierry; Herbin, Raphaéle 13 2004 Multi-lithology stratigraphic model under maximum erosion rate constraint. Zbl 1098.76618Eymard, R.; Gallouët, T.; Granjeon, D.; Masson, R.; Tran, Q. H. 11 2004 Convergence of linear finite elements for diffusion equations with measure data. Zbl 1038.65110Gallouët, Thierry; Herbin, Raphaèle 6 2004 Existence and uniqueness of a weak solution to a stratigraphic model. Zbl 1198.86020Eymard, Robert; Gallouët, Thierry; Gervais, Véronique; Masson, Roland 1 2004 Some approximate Godunov schemes to compute shallow-water equations with topography. Zbl 1084.76540Gallouët, Thierry; Hérard, Jean-Marc; Seguin, Nicolas 123 2003 Global solution and smoothing effect for a non-local regularization of a hyperbolic equation. Zbl 1036.35123Droniou, J.; Gallouët, T.; Vovelle, J. 51 2003 H-convergence and numerical schemes for elliptic problems. Zbl 1049.35015Eymard, Robert; Gallouët, Thierry 24 2003 A finite volume scheme for a noncoercive elliptic equation with measure data. Zbl 1058.65127Droniou, Jérôme; Gallouët, Thierry; Herbin, Raphaèle 19 2003 On a turbulent system with unbounded eddy viscosities. Zbl 1013.35068Gallouët, T.; Lederer, J.; Lewandowski, R.; Murat, F.; Tartar, L. 18 2003 On the use of symmetrizing variables for vacuums. Zbl 1072.76042Gallouët, T.; Hérard, J.-M.; Seguin, N. 14 2003 Limit boundary conditions for finite volume approximations of some physical problems. Zbl 1107.76361Eymard, Robert; Gallouët, Thierry; Vovelle, Jullien 3 2003 Convergence of a finite volume scheme for nonlinear degenerate parabolic equations. Zbl 1005.65099Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle; Michel, Anthony 77 2002 Closure laws for a two-fluid two-pressure model. Zbl 0999.35057Coquel, Frédéric; Gallouët, Thierry; Hérard, Jean-Marc; Seguin, Nicolas 41 2002 Some recent finite volume schemes to compute Euler equations using real gas EOS. Zbl 1053.76044Gallouët, T.; Hérard, J.-M.; Seguin, N. 34 2002 Error estimate for approximate solutions of a nonlinear convection-diffusion problem. Zbl 1173.35563Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 15 2002 A hybrid scheme to compute contact discontinuities in one-dimensional Euler systems. Zbl 1137.65419Gallouët, Thierry; Hérard, Jean-Marc; Seguin, Nicolas 13 2002 Finite volume methods for convection-diffusion equations with right-hand side in \(H^{-1}\). Zbl 1070.65566Droniou, Jérôme; Gallouët, Thierry 8 2002 Multi-lithology stratigraphic model under maximum erosion rate constraint. Zbl 1171.86317Eymard, Robert; Gallouët, Thierry; Gervais, Véronique; Granjeon, Didier; Masson, Roland; Tran, Q.-Huy 1 2002 Finite volume approximation of elliptic problems and convergence of an approximate gradient. Zbl 0982.65122Eymard, R.; Gallouët, T.; Herbin, R. 29 2001 Discrete Sobolev inequalities and \(L^p\) error estimates for finite volume solutions of convection diffusion equations. Zbl 0990.65122Coudière, Yves; Gallouët, Thierry; Herbin, Raphaèle 29 2001 Solutions of nonlinear parabolic equations without growth restrictions on the data. Zbl 0993.35055Boccardo, Lucio; Gallouët, Thierry; Vazquez, Juan Luis 11 2001 Approximation by the finite volume method of an elliptic-parabolic equation arising in environmental studies. Zbl 1173.76359Eymard, R.; Gallouët, T.; Herbin, R.; Gutnic, M.; Hilhorst, D. 10 2001 A uniqueness result for quasilinear elliptic equations with measures as data. Zbl 1086.35039Droniou, J.; Gallouët, T. 6 2001 Finite volume methods. Zbl 0981.65095Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 496 2000 A sequel to a rough Godunov scheme: Application to real gases. Zbl 0961.76048Buffard, Thierry; Gallouët, Thierry; Hérard, Jean-Marc 56 2000 Modeling wells in porous media flow. Zbl 1018.76044Fabrie, Pierre; Gallouët, Thierry 33 2000 Error estimates on the approximate finite volume solution of convection diffusion equations with general boundary conditions. Zbl 0986.65099Gallouët, Thierry 24 2000 Numerical approximation of an elliptic-parabolic equation arising in environment. Zbl 1060.76075Eymard, R.; Gallouët, T.; Gutnic, M.; Herbin, R.; Hilhorst, D. 15 2000 On an approximate Godunov scheme. Zbl 0944.76041Masella, Jean-Marie; Faille, Isabelle; Gallouët, Thierry 32 1999 Convergence of finite volume schemes for semilinear convection diffusion equations. Zbl 0930.65118Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 24 1999 Existence and regularity results for some nonlinear parabolic equations. Zbl 0962.35093Boccardo, Lucio; Dall’Aglio, Andrea; Gallouët, Thierry; Orsina, Luigi 20 1999 On the regularity of solutions to elliptic equations. Zbl 0961.35036Gallouet, T.; Monier, A. 19 1999 Finite volume approximation of elliptic problems with irregular data. Zbl 1052.65552Gallouët, Thierry; Herbin, Raphaèle 6 1999 Convergence of finite volume methods on general meshes for non smooth solution of elliptic problems with cracks. Zbl 1052.65557Angot, Philippe; Gallouët, Thierry; Herbin, Raphaèle 6 1999 On the convergence of the parabolic approximation of a conservation law in several space dimensions. Zbl 0922.35091Gallouët, T.; Hubert, F. 5 1999 Instantaneous and noninstantaneous dissolution: Approximation by the finite volume method. Zbl 1020.65052Eymard, R.; Gallouët, T.; Herbin, R.; Hilhorst, D.; Mainguy, M. 4 1999 A result of convergence and error estimate of an approximate gradient for elliptic problems. Zbl 1052.65551Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 1 1999 A naive Riemann solver to compute a non-conservative hyperbolic system. Zbl 0939.76057Buffard, Thierry; Gallouët, Thierry; Hérard, Jean-Marc 1 1999 Error estimates for the approximate solutions of a nonlinear hyperbolic equation given by finite volume schemes. Zbl 0973.65078Eymard, R.; Gallouët, T.; Ghilani, M.; Herbin, R. 52 1998 Finite volumes and nonlinear diffusion equations. Zbl 0914.65101Eymard, R.; Gallouët, T.; Hilhorst, D.; Naït Slimane, Y. 20 1998 A naive scheme to solve shallow-water equations. (Un schéma simple pour les équations de Saint-Venant.) Zbl 0926.76064Buffard, Thierry; Gallouet, Thierry; Hérard, Jean-Marc 7 1998 ...and 40 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,053 Authors 76 Boccardo, Lucio 70 Gallouët, Thierry 55 Eymard, Robert 53 Herbin, Raphaèle 52 Droniou, Jérôme 47 Hérard, Jean-Marc 40 Orsina, Luigi 39 Cancès, Clément 34 Di Pietro, Daniele Antonio 31 Andreianov, Boris 29 Latché, Jean-Claude 28 Bradji, Abdallah 27 Masson, Roland 26 Saad, Mazen 25 Porzio, Maria Michaela 24 Mingione, Giuseppe 24 Porretta, Alessio 24 Redwane, Hicham 23 Peral Alonso, Ireneo 22 Chainais-Hillairet, Claire 21 Brenner, Konstantin 21 Vohralík, Martin 19 Abdellaoui, Boumediene 19 Karlsen, Kenneth Hvistendahl 19 Kuusi, Tuomo 19 Manzini, Gianmarco 18 Beirão da Veiga, Lourenço 18 Hurisse, Olivier 18 Murat, François 17 Bendahmane, Mostafa 17 Fuhrmann, Jürgen 17 Kovalevsky, Alexander Albertovich 17 Yuan, Guangwei 16 Benkirane, Abdelmoujib 16 Guibé, Olivier 16 Petitta, Francesco 16 Roubíček, Tomáš 16 Zou, Qingsong 15 Byun, Sun-Sig 15 Ern, Alexandre 15 Klimsiak, Tomasz 15 Mercaldo, Anna 15 Ouaro, Stanislas 14 Andreu, Fuensanta 14 Bennouna, Jaouad 14 Brezzi, Franco 14 Rhoudaf, Mohamed 14 Seguin, Nicolas 14 Titi, Edriss Saleh 13 Arcoya, David 13 Cianchi, Andrea 13 Mazón Ruiz, José M. 13 Primo, Ana R. 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