Edit Profile Gallouët, Thierry Compute Distance To: Compute Author ID: gallouet.thierry Published as: Gallouet, T.; Gallouet, Thierry; Gallouët, T.; Gallouët, Thierry; Gallouët, Thiery Homepage: https://www.i2m.univ-amu.fr/perso/thierry.gallouet/ External Links: MGP · Wikidata · ORCID · ResearchGate · dblp Documents Indexed: 163 Publications since 1978, including 3 Books all top 5 Co-Authors 11 single-authored 58 Herbin, Raphaèle 47 Eymard, Robert 19 Boccardo, Lucio 16 Hérard, Jean-Marc 16 Latché, Jean-Claude 12 Droniou, Jérôme 10 Seguin, Nicolas 5 Kavian, Otared 5 Masson, Roland 5 Morel, Jean-Michel 4 Guichard, Cindy 4 Hilhorst, Danielle 4 Maltese, David 4 Orsina, Luigi 3 Bauzet, Caroline 3 Buffard, Thierry 3 Charrier, Julia 3 Fettah, A. 3 Gervais, Véronique 3 Helluy, Philippe 3 Murat, François 3 Novotný, Antonín 3 Vazquez, Juan Luis 2 Blum, James 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 Hurisse, Olivier 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 Bradji, Abdallah 1 Brézis, Haïm 1 Cacas, Marie Christine 1 Cautrès, René 1 Chénier, Eric 1 Coudière, Yves 1 Fabrie, Pierre 1 Feistauer, Miloslav 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 Jerome, Norman F. 1 Joly, Pierre 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, A. 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 Tunc, Xavier 1 Vignal, Marie-Hélène 1 Vila, Jean-Paul 1 Vola, Didier all top 5 Serials 7 SIAM Journal on Numerical Analysis 6 Mathematics of Computation 6 Comptes Rendus de l’Académie des Sciences. Série I 5 IMA Journal of Numerical Analysis 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 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Differential Equations 2 Journal of Functional Analysis 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 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 S\(\vec{\text{e}}\)MA Journal 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 111 Partial differential equations (35-XX) 85 Numerical analysis (65-XX) 66 Fluid mechanics (76-XX) 8 Geophysics (86-XX) 6 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 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 139 Publications have been cited 4,050 times in 2,415 Documents Cited by ▼ Year ▼ Nonlinear elliptic and parabolic equations involving measure data. Zbl 0707.35060Boccardo, Lucio; Gallouët, Thierry 423 1989 Finite volume methods. Zbl 0981.65095Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 402 2000 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 329 1995 Nonlinear Schrödinger evolution equations. Zbl 0451.35023Brézis, Haïm; Gallouet, T. 236 1980 Nonlinear elliptic equations with right hand side measures. Zbl 0812.35043Boccardo, L.; Gallouet, T. 223 1992 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. 128 2010 Nonlinear parabolic equations with measure data. Zbl 0887.35082Boccardo, Lucio; Dall’Aglio, Andrea; Gallouët, Thierry; Orsina, Luigi 128 1997 Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data. Zbl 0857.35126Boccardo, Lucio; Gallouët, Thierry; Orsina, Luigi 116 1996 Some approximate Godunov schemes to compute shallow-water equations with topography. Zbl 1084.76540Gallouët, Thierry; Hérard, Jean-Marc; Seguin, Nicolas 109 2003 Équations de champs scalaires euclidiens non linéaires dans le plan. Zbl 0544.35042Berestycki, Henri; Gallouët, Thierry; Kavian, Otared 100 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 88 2010 Convergence of a finite volume scheme for nonlinear degenerate parabolic equations. Zbl 1005.65099Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle; Michel, Anthony 67 2002 Nonlinear elliptic equations in \(\mathbb{R}^ N\) without growth restrictions on the data. Zbl 0810.35021Boccardo, Lucio; Gallouët, Thierry; Vazquez, Juan Luis 57 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 55 2013 Strongly nonlinear elliptic equations having natural growth terms and \(L^ 1\) data. Zbl 0795.35031Boccardo, L.; Gallouet, T. 54 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. 53 2006 Résultats d’existence et de non-existence pour certains problèmes demi- linéaires à l’infini. Zbl 0495.35001Gallouet, Thierry; Kavian, Otared 51 1981 Numerical modeling of two-phase flows using the two-fluid two-pressure approach. Zbl 1177.76428Gallouët, Thierry; Hérard, Jean-Marc; Seguin, Nicolas 49 2004 Global solution and smoothing effect for a non-local regularization of a hyperbolic equation. Zbl 1036.35123Droniou, J.; Gallouët, T.; Vovelle, J. 47 2003 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. 45 1998 A sequel to a rough Godunov scheme: Application to real gases. Zbl 0961.76048Buffard, Thierry; Gallouët, Thierry; Hérard, Jean-Marc 44 2000 Existence and nonexistence of solutions for some nonlinear elliptic equations. Zbl 0898.35035Boccardo, Lucio; Gallouët, Thierry; Orsina, Luigi 43 1997 Finite volume approximation of elliptic problems and convergence of an approximate gradient. Zbl 0982.65122Eymard, R.; Gallouët, T.; Herbin, R. 32 2001 The gradient discretisation method. Zbl 1435.65005Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Guichard, Cindy; Herbin, Raphaèle 31 2018 Closure laws for a two-fluid two-pressure model. Zbl 0999.35057Coquel, Frédéric; Gallouët, Thierry; Hérard, Jean-Marc; Seguin, Nicolas 31 2002 Resolution of a semilinear equation in \(L^ 1\). Zbl 0573.35030Gallouët, Thierry; Morel, Jean-Michel 31 1984 An unconditionally stable pressure correction scheme for the compressible barotropic Navier-Stokes equations. Zbl 1132.35433Gallouët, Thierry; Gastaldo, Laura; Herbin, Raphaele; Latché, Jean-Claude 30 2008 On an approximate Godunov scheme. Zbl 0944.76041Masella, Jean-Marie; Faille, Isabelle; Gallouët, Thierry 30 1999 Convergence of a finite volume scheme for a nonlinear hyperbolic equation. Zbl 0843.65068Eymard, R.; Gallouët, T.; Herbin, R. 30 1995 Anisotropic equations in \(L^ 1\). Zbl 0838.35048Boccardo, L.; Gallouet, T.; Marcellini, P. 29 1996 Some recent finite volume schemes to compute Euler equations using real gas EOS. Zbl 1053.76044Gallouët, T.; Hérard, J.-M.; Seguin, N. 28 2002 Compactness of discrete approximate solutions to parabolic PDEs – application to a turbulence model. Zbl 1308.35208Gallouët, T.; Latché, J.-C. 26 2012 Discrete Sobolev inequalities and \(L^p\) error estimates for finite volume solutions of convection diffusion equations. Zbl 0990.65122Coudière, Yves; Gallouët, Thierry; Herbin, Raphaèle 25 2001 Modeling wells in porous media flow. Zbl 1018.76044Fabrie, Pierre; Gallouët, Thierry 25 2000 Resonance for jumping non-linearities. Zbl 0497.35080Gallouet, Thierry; Kavian, Otared 25 1982 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 24 1992 Existence and uniqueness of the entropy solution to a nonlinear hyperbolic equation. Zbl 0830.35077Eymard, R.; Gallouët, T.; Herbin, R. 23 1995 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. 22 2009 A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis. Zbl 1112.65120Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 22 2007 Error estimates on the approximate finite volume solution of convection diffusion equations with general boundary conditions. Zbl 0986.65099Gallouët, Thierry 21 2000 Existence of a solution to a coupled elliptic system. Zbl 0791.35043Gallouët, T.; Herbin, R. 21 1994 A model for conductive faults with non-matching grids. Zbl 1348.76167Tunc, Xavier; Faille, Isabelle; Gallouët, Thierry; Cacas, Marie Christine; Havé, Pascal 20 2012 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. 19 2010 Two-phase flows involving capillary barriers in heterogeneous porous media. Zbl 1178.35196Cancès, Clément; Gallouët, Thierry; Porretta, Alessio 19 2009 A rough Godunov scheme. Zbl 0856.76045Gallouët, Thierry; Masella, Jean-Marie 19 1996 Convergence of finite volume schemes for semilinear convection diffusion equations. Zbl 0930.65118Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 18 1999 On the time continuity of entropy solutions. Zbl 1232.35029Cancès, Clément; Gallouët, Thierry 17 2011 Convergence of the MAC scheme for the compressible Stokes equations. Zbl 1417.65185Eymard, R.; Gallouët, T.; Herbin, R.; Latché, J.-C. 17 2010 On a turbulent system with unbounded eddy viscosities. Zbl 1013.35068Gallouët, T.; Lederer, J.; Lewandowski, R.; Murat, F.; Tartar, L. 17 2003 A unified presentation of two existence results for problems with natural growth. Zbl 0806.35033Boccardo, L.; Gallouët, T.; Murat, F. 17 1993 Problèmes unilatéraux avec données dans \(L^ 1\). (Unilateral problems with \(L^ 1\) data). Zbl 0715.49013Boccardo, Lucio; Gallouet, Thierry 17 1990 A finite volume scheme for a noncoercive elliptic equation with measure data. Zbl 1058.65127Droniou, Jérôme; Gallouët, Thierry; Herbin, Raphaèle 16 2003 Existence and regularity results for some nonlinear parabolic equations. Zbl 0962.35093Boccardo, Lucio; Dall’Aglio, Andrea; Gallouët, Thierry; Orsina, Luigi 16 1999 Convergence of an upstream finite volume scheme for a nonlinear hyperbolic equation on a triangular mesh. Zbl 0801.65089Champier, S.; Gallouët, T.; Herbin, R. 16 1993 TP or not TP, that is the question. Zbl 1378.76118Eymard, R.; Gallouët, T.; Guichard, C.; Herbin, R.; Masson, R. 15 2014 \(W^{1,1}_0\) solutions in some borderline cases of Calderón-Zygmund theory. Zbl 1266.35045Boccardo, Lucio; Gallouët, Thierry 15 2012 Finite volumes and nonlinear diffusion equations. Zbl 0914.65101Eymard, R.; Gallouët, T.; Hilhorst, D.; Naït Slimane, Y. 15 1998 H-convergence and numerical schemes for elliptic problems. Zbl 1049.35015Eymard, Robert; Gallouët, Thierry 14 2003 Error estimate for approximate solutions of a nonlinear convection-diffusion problem. Zbl 1173.35563Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 14 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. 13 2017 Solutions of nonlinear parabolic equations without growth restrictions on the data. Zbl 0993.35055Boccardo, Lucio; Gallouët, Thierry; Vazquez, Juan Luis 13 2001 On the regularity of solutions to elliptic equations. Zbl 0961.35036Gallouet, T.; Monier, A. 13 1999 Multi-lithology stratigraphic model under maximum erosion rate constraint. Zbl 1098.76618Eymard, R.; Gallouët, T.; Granjeon, D.; Masson, R.; Tran, Q. H. 12 2004 A finite volume scheme for anisotropic diffusion problems. Zbl 1055.65124Eymard, Robert; Gallouët, Thierry; Herbin, Raphaéle 12 2004 SUSHI: a scheme using stabilization and hybrid interfaces for anisotropic heterogeneous diffusion problems. Zbl 1422.65310Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 11 2008 On the use of symmetrizing variables for vacuums. Zbl 1072.76042Gallouët, T.; Hérard, J.-M.; Seguin, N. 11 2003 Error estimates for a numerical approximation to the compressible barotropic Navier-Stokes equations. Zbl 1433.76083Gallouët, Thierry; Herbin, Raphaèle; Maltese, David; Novotny, Antonin 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 A hybrid scheme to compute contact discontinuities in one-dimensional Euler systems. Zbl 1137.65419Gallouët, Thierry; Hérard, Jean-Marc; Seguin, Nicolas 10 2002 Numerical approximation of an elliptic-parabolic equation arising in environment. Zbl 1060.76075Eymard, R.; Gallouët, T.; Gutnic, M.; Herbin, R.; Hilhorst, D. 10 2000 Convergence of a finite element/finite volume type scheme for a system formed by an elleptic equation and a hyperbolic equation. Zbl 0792.65073Eymard, R.; Gallouët, T. 10 1993 A few results on the equation \(-\Delta u=\lambda e^ u\). Zbl 0697.35048Gallouet, Thierry; Mignot, Fulbert; Puel, Jean-Pierre 10 1988 Convergence of monotone finite volume schemes for hyperbolic scalar conservation laws with multiplicative noise. Zbl 1358.65007Bauzet, C.; Charrier, J.; Gallouët, T. 9 2016 W\(^{1,q }\) stability of the Fortin operator for the MAC scheme. Zbl 1248.76109Gallouët, T.; Herbin, R.; Latché, J.-C. 9 2012 Analysis tools for finite volume schemes. Zbl 1133.65062Eymard, Robert; Gallouët, Thiery; Herbin, Raphaele; Latché, Jean Claude 9 2007 Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids. Zbl 1179.65138Eymard, R.; Gallouët, T.; Herbin, R. 8 2009 Finite volume methods for convection-diffusion equations with right-hand side in \(H^{-1}\). Zbl 1070.65566Droniou, Jérôme; Gallouët, Thierry 8 2002 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. 8 2001 Finite volume approximation of elliptic problems with irregular data. Zbl 1052.65552Gallouët, Thierry; Herbin, Raphaèle 8 1999 A naive scheme to solve shallow-water equations. Zbl 0926.76064Buffard, Thierry; Gallouet, Thierry; Hérard, Jean-Marc 8 1998 The equation \(-\Delta u+| u| ^{\alpha -1}u=f\), for 0\(\leq \alpha \leq 1\). Zbl 0659.35036Gallouët, Thierry; Morel, Jean-Michel 8 1987 Finite volume schemes for the biharmonic problem on general meshes. Zbl 1271.65135Eymard, R.; Gallouët, T.; Herbin, R.; Linke, A. 7 2012 Hyperbolic relaxation models for granular flows. Zbl 1258.76180Gallouët, Thierry; Helluy, Philippe; Hérard, Jean-Marc; Nussbaum, Julien 7 2010 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 6 2015 A uniqueness result for quasilinear elliptic equations with measures as data. Zbl 1086.35039Droniou, J.; Gallouët, T. 6 2001 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 Summability of the solutions of nonlinear elliptic equations with right hand side measures. Zbl 0869.35108Boccardo, Lucio; Gallouet, Thierry 6 1996 Hybrid finite element techniques for oil recovery simulation. Zbl 0687.76101Eymard, R.; Gallouët, T.; Joly, P. 6 1989 Existence and control of plasma equilibrium in a Tokamak. Zbl 0614.35082Blum, J.; Gallouet, T.; Simon, J. 6 1986 Convergence of the Marker-and-Cell scheme for the incompressible Navier-Stokes equations on non-uniform grids. Zbl 06849393Gallouët, T.; Herbin, R.; Latché, J.-C.; Mallem, K. 5 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 a numerical scheme for stratigraphic modeling. Zbl 1096.35005Eymard, R.; Gallouët, T.; Gervais, V.; Masson, R. 5 2005 Convergence of linear finite elements for diffusion equations with measure data. Zbl 1038.65110Gallouët, Thierry; Herbin, Raphaèle 5 2004 On some semilinear problems in \(L^ 1\). Zbl 0585.35033Gallouët, T.; Morel, J. M. 5 1985 Homogenization with jumping nonlinearities. Zbl 0568.35038Boccardo, L.; Gallouet, T. 5 1984 Modelling compressible multiphase flows. Zbl 1329.76349Coquel, Frédéric; Gallouët, Thierry; Helluy, Philippe; Hérard, Jean-Marc; Hurisse, Olivier; Seguin, Nicolas 4 2013 Discretization schemes for linear diffusion operators on general non-conforming meshes. Zbl 1422.65309Eymard, R.; Gallouët, T.; Herbin, R. 4 2008 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 4 2007 Analytical and numerical study of a model of erosion and sedimentation. Zbl 1145.76047Eymard, Robert; Gallouët, Thierry 4 2006 A gradient-robust well-balanced scheme for the compressible isothermal Stokes problem. Zbl 1442.76059Akbas, M.; Gallouët, T.; Gassmann, A.; Linke, A.; Merdon, C. 1 2020 Error estimates for the implicit MAC scheme for the compressible Navier-Stokes equations. Zbl 1412.35253Gallouët, Thierry; Maltese, David; Novotny, Antonin 3 2019 On the weak consistency of finite volumes schemes for conservation laws on general meshes. Zbl 1434.65149Gallouët, T.; Herbin, R.; Latché, J.-C. 2 2019 The gradient discretisation method. Zbl 1435.65005Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Guichard, Cindy; Herbin, Raphaèle 31 2018 Convergence of the Marker-and-Cell scheme for the incompressible Navier-Stokes equations on non-uniform grids. Zbl 06849393Gallouët, T.; Herbin, R.; Latché, J.-C.; Mallem, K. 5 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 Discrete functional analysis tools for some evolution equations. Zbl 1401.65097Gallouët, Thierry 1 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. 13 2017 Some discrete functional analysis tools. Zbl 1391.76408Gallouët, Thierry 3 2017 Numerical approximation of stochastic conservation laws on bounded domains. Zbl 1368.65007Bauzet, Caroline; Charrier, Julia; Gallouët, Thierry 3 2017 Error estimates for a numerical approximation to the compressible barotropic Navier-Stokes equations. Zbl 1433.76083Gallouët, Thierry; Herbin, Raphaèle; Maltese, David; Novotny, Antonin 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 Convergence of monotone finite volume schemes for hyperbolic scalar conservation laws with multiplicative noise. Zbl 1358.65007Bauzet, C.; Charrier, J.; Gallouët, T. 9 2016 Compactness of minimizing sequences. Zbl 1337.49016Boccardo, Lucio; Gallouet, Thierry 2 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 6 2015 TP or not TP, that is the question. Zbl 1378.76118Eymard, R.; Gallouët, T.; Guichard, C.; Herbin, R.; Masson, R. 15 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 55 2013 Modelling compressible multiphase flows. Zbl 1329.76349Coquel, Frédéric; Gallouët, Thierry; Helluy, Philippe; Hérard, Jean-Marc; Hurisse, Olivier; Seguin, Nicolas 4 2013 Numerical approximation of the general compressible Stokes problem. Zbl 06190569Fettah, A.; Gallouët, T. 2 2013 Measure, integration, probability. Zbl 1273.28001Gallouët, Thierry; Herbin, Raphaèle 1 2013 Compactness of discrete approximate solutions to parabolic PDEs – application to a turbulence model. Zbl 1308.35208Gallouët, T.; Latché, J.-C. 26 2012 A model for conductive faults with non-matching grids. Zbl 1348.76167Tunc, Xavier; Faille, Isabelle; Gallouët, Thierry; Cacas, Marie Christine; Havé, Pascal 20 2012 \(W^{1,1}_0\) solutions in some borderline cases of Calderón-Zygmund theory. Zbl 1266.35045Boccardo, Lucio; Gallouët, Thierry 15 2012 W\(^{1,q }\) stability of the Fortin operator for the MAC scheme. Zbl 1248.76109Gallouët, T.; Herbin, R.; Latché, J.-C. 9 2012 Finite volume schemes for the biharmonic problem on general meshes. Zbl 1271.65135Eymard, R.; Gallouët, T.; Herbin, R.; Linke, A. 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. 2 2012 On the time continuity of entropy solutions. Zbl 1232.35029Cancès, Clément; Gallouët, Thierry 17 2011 Playing with Burgers’s equation. Zbl 1246.76093Gallouët, T.; Herbin, R.; Latché, J.-C.; Nguyen, T. T. 1 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. 128 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 88 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. 19 2010 Convergence of the MAC scheme for the compressible Stokes equations. Zbl 1417.65185Eymard, R.; Gallouët, T.; Herbin, R.; Latché, J.-C. 17 2010 Hyperbolic relaxation models for granular flows. Zbl 1258.76180Gallouët, Thierry; Helluy, Philippe; Hérard, Jean-Marc; Nussbaum, Julien 7 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. 22 2009 Two-phase flows involving capillary barriers in heterogeneous porous media. Zbl 1178.35196Cancès, Clément; Gallouët, Thierry; Porretta, Alessio 19 2009 Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids. Zbl 1179.65138Eymard, R.; Gallouët, T.; Herbin, R. 8 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 30 2008 SUSHI: a scheme using stabilization and hybrid interfaces for anisotropic heterogeneous diffusion problems. Zbl 1422.65310Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 11 2008 Discretization schemes for linear diffusion operators on general non-conforming meshes. Zbl 1422.65309Eymard, R.; Gallouët, T.; Herbin, R. 4 2008 A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis. Zbl 1112.65120Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 22 2007 Analysis tools for finite volume schemes. Zbl 1133.65062Eymard, Robert; Gallouët, Thiery; Herbin, Raphaele; Latché, Jean Claude 9 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 4 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. 53 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 1 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 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 49 2004 Multi-lithology stratigraphic model under maximum erosion rate constraint. Zbl 1098.76618Eymard, R.; Gallouët, T.; Granjeon, D.; Masson, R.; Tran, Q. H. 12 2004 A finite volume scheme for anisotropic diffusion problems. Zbl 1055.65124Eymard, Robert; Gallouët, Thierry; Herbin, Raphaéle 12 2004 Convergence of linear finite elements for diffusion equations with measure data. Zbl 1038.65110Gallouët, Thierry; Herbin, Raphaèle 5 2004 Existence and uniqueness of a weak solution to a stratigraphic model. Zbl 1198.86020Eymard, Robert; Gallouët, Thierry; Gervais, Véronique; Masson, Roland 1 2004 Boundary conditions for hyperbolic equations or systems. Zbl 1198.35148Gallouët, Thierry 1 2004 Some approximate Godunov schemes to compute shallow-water equations with topography. Zbl 1084.76540Gallouët, Thierry; Hérard, Jean-Marc; Seguin, Nicolas 109 2003 Global solution and smoothing effect for a non-local regularization of a hyperbolic equation. Zbl 1036.35123Droniou, J.; Gallouët, T.; Vovelle, J. 47 2003 On a turbulent system with unbounded eddy viscosities. Zbl 1013.35068Gallouët, T.; Lederer, J.; Lewandowski, R.; Murat, F.; Tartar, L. 17 2003 A finite volume scheme for a noncoercive elliptic equation with measure data. Zbl 1058.65127Droniou, Jérôme; Gallouët, Thierry; Herbin, Raphaèle 16 2003 H-convergence and numerical schemes for elliptic problems. Zbl 1049.35015Eymard, Robert; Gallouët, Thierry 14 2003 On the use of symmetrizing variables for vacuums. Zbl 1072.76042Gallouët, T.; Hérard, J.-M.; Seguin, N. 11 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 67 2002 Closure laws for a two-fluid two-pressure model. Zbl 0999.35057Coquel, Frédéric; Gallouët, Thierry; Hérard, Jean-Marc; Seguin, Nicolas 31 2002 Some recent finite volume schemes to compute Euler equations using real gas EOS. Zbl 1053.76044Gallouët, T.; Hérard, J.-M.; Seguin, N. 28 2002 Error estimate for approximate solutions of a nonlinear convection-diffusion problem. Zbl 1173.35563Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 14 2002 A hybrid scheme to compute contact discontinuities in one-dimensional Euler systems. Zbl 1137.65419Gallouët, Thierry; Hérard, Jean-Marc; Seguin, Nicolas 10 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 Hybrid schemes to compute contact discontinuities in Euler equations with any EOS. Zbl 1048.76034Gallouët, Thierry; Hérard, Jean-Marc; Seguin, Nicolas 1 2002 Finite volume approximation of elliptic problems and convergence of an approximate gradient. Zbl 0982.65122Eymard, R.; Gallouët, T.; Herbin, R. 32 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 25 2001 Solutions of nonlinear parabolic equations without growth restrictions on the data. Zbl 0993.35055Boccardo, Lucio; Gallouët, Thierry; Vazquez, Juan Luis 13 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. 8 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 402 2000 A sequel to a rough Godunov scheme: Application to real gases. Zbl 0961.76048Buffard, Thierry; Gallouët, Thierry; Hérard, Jean-Marc 44 2000 Modeling wells in porous media flow. Zbl 1018.76044Fabrie, Pierre; Gallouët, Thierry 25 2000 Error estimates on the approximate finite volume solution of convection diffusion equations with general boundary conditions. Zbl 0986.65099Gallouët, Thierry 21 2000 Numerical approximation of an elliptic-parabolic equation arising in environment. Zbl 1060.76075Eymard, R.; Gallouët, T.; Gutnic, M.; Herbin, R.; Hilhorst, D. 10 2000 On an approximate Godunov scheme. Zbl 0944.76041Masella, Jean-Marie; Faille, Isabelle; Gallouët, Thierry 30 1999 Convergence of finite volume schemes for semilinear convection diffusion equations. Zbl 0930.65118Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 18 1999 Existence and regularity results for some nonlinear parabolic equations. Zbl 0962.35093Boccardo, Lucio; Dall’Aglio, Andrea; Gallouët, Thierry; Orsina, Luigi 16 1999 On the regularity of solutions to elliptic equations. Zbl 0961.35036Gallouet, T.; Monier, A. 13 1999 Finite volume approximation of elliptic problems with irregular data. Zbl 1052.65552Gallouët, Thierry; Herbin, Raphaèle 8 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 Instantaneous and noninstantaneous dissolution: Approximation by the finite volume method. Zbl 1020.65052Eymard, R.; Gallouët, T.; Herbin, R.; Hilhorst, D.; Mainguy, M. 4 1999 On the convergence of the parabolic approximation of a conservation law in several space dimensions. Zbl 0922.35091Gallouët, T.; Hubert, F. 4 1999 A naive Riemann solver to compute a non-conservative hyperbolic system. Zbl 0939.76057Buffard, Thierry; Gallouët, Thierry; Hérard, Jean-Marc 3 1999 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 A result of convergence and error estimate of an approximate gradient for elliptic problems. Zbl 1052.65551Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 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. 45 1998 Finite volumes and nonlinear diffusion equations. Zbl 0914.65101Eymard, R.; Gallouët, T.; Hilhorst, D.; Naït Slimane, Y. 15 1998 A naive scheme to solve shallow-water equations. Zbl 0926.76064Buffard, Thierry; Gallouet, Thierry; Hérard, Jean-Marc 8 1998 Nonlinear parabolic equations with measure data. Zbl 0887.35082Boccardo, Lucio; Dall’Aglio, Andrea; Gallouët, Thierry; Orsina, Luigi 128 1997 ...and 39 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,597 Authors 65 Boccardo, Lucio 63 Gallouët, Thierry 50 Eymard, Robert 42 Droniou, Jérôme 42 Herbin, Raphaèle 40 Hérard, Jean-Marc 35 Orsina, Luigi 31 Cancès, Clément 31 Di Pietro, Daniele Antonio 28 Andreianov, Boris 25 Porzio, Maria Michaela 24 Mingione, Giuseppe 24 Porretta, Alessio 24 Saad, Mazen 23 Latché, Jean-Claude 22 Bradji, Abdallah 22 Peral Alonso, Ireneo 19 Chainais-Hillairet, Claire 19 Karlsen, Kenneth Hvistendahl 19 Kuusi, Tuomo 19 Manzini, Gianmarco 19 Masson, Roland 19 Vohralík, Martin 18 Abdellaoui, Boumediene 18 Beirão da Veiga, Lourenço 18 Bendahmane, Mostafa 17 Kovalevsky, Alexander Albertovich 17 Murat, François 16 Benkirane, Abdelmoujib 16 Fuhrmann, Jürgen 16 Petitta, Francesco 16 Redwane, Hicham 16 Titi, Edriss Saleh 15 Brenner, Konstantin 15 Roubíček, Tomáš 15 Zou, Qingsong 14 Andreu, Fuensanta 14 Brezzi, Franco 14 Guibé, Olivier 14 Klimsiak, Tomasz 14 Mercaldo, Anna 14 Seguin, Nicolas 13 Ern, Alexandre 13 Mazón Ruiz, José M. 12 Arcoya, David 12 Cianchi, Andrea 12 Clain, Stéphane Louis 12 Primo, Ana R. M. 12 Russo, Alessandro 11 Blanchard, Dominique 11 Daude, Frédéric 11 Hilhorst, Danielle 11 Hurisse, Olivier 11 Kurganov, Alexander 11 Lipnikov, Konstantin N. 11 Marini, Luisa Donatella 11 Risebro, Nils Henrik 11 Segura de León, Sergio 11 Vovelle, Julien 11 Wittbold, Petra 11 Yuan, Guangwei 10 Azroul, Elhoussine 10 Caselles Costa, Vicent 10 Galon, Pascal 10 Helluy, Philippe 10 Linke, Alexander 10 Maz’ya, Vladimir Gilelevich 10 Nicolosi, Francesco 10 Ouaro, Stanislas 10 Ponce, Augusto C. 10 Rakotoson, Jean-Michel 10 Sepúlveda, Mauricio A. 10 Temam, Roger Meyer 9 Berthon, Christophe 9 Betta, Maria Francesca 9 Bulíček, Miroslav 9 Cirmi, Giuseppa Rita 9 Dall’Aglio, Andrea 9 Foiaş, Ciprian Ilie 9 Mai Duc Thanh 9 Parviainen, Mikko 9 Rhoudaf, Mohamed 9 Rui, Hongxing 9 Vallet, Guy 9 Wu, Jiming 8 Benkhaldoun, Fayssal 8 Bennouna, Jaouad 8 Brézis, Haïm 8 Chlebicka, Iwona 8 Coquel, Frédéric 8 Feireisl, Eduard 8 Guichard, Cindy 8 Gwiazda, Piotr 8 Jüngel, Ansgar 8 Leonori, Tommaso 8 Ohlberger, Mario 8 Rozkosz, Andrzej 8 Zhikov, Vasiliĭ Vasil’evich 7 Abdellaoui, Mohammed Amin 7 Baroni, Paolo ...and 2,497 more Authors all top 5 Cited in 290 Serials 131 Nonlinear Analysis. 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Fluids 5 Proceedings of the Steklov Institute of Mathematics 5 Networks and Heterogeneous Media ...and 190 more Serials all top 5 Cited in 43 Fields 1,784 Partial differential equations (35-XX) 827 Numerical analysis (65-XX) 727 Fluid mechanics (76-XX) 110 Functional analysis (46-XX) 102 Calculus of variations and optimal control; optimization (49-XX) 93 Mechanics of deformable solids (74-XX) 68 Classical thermodynamics, heat transfer (80-XX) 67 Biology and other natural sciences (92-XX) 60 Operator theory (47-XX) 60 Probability theory and stochastic processes (60-XX) 60 Statistical mechanics, structure of matter (82-XX) 56 Geophysics (86-XX) 41 Dynamical systems and ergodic theory (37-XX) 38 Ordinary differential equations (34-XX) 37 Potential theory (31-XX) 35 Global analysis, analysis on manifolds (58-XX) 33 Optics, electromagnetic theory (78-XX) 30 Real functions (26-XX) 25 Quantum theory (81-XX) 18 Operations research, mathematical programming (90-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Systems theory; control (93-XX) 11 Integral equations (45-XX) 10 Measure and integration (28-XX) 9 Computer science (68-XX) 7 Approximations and expansions (41-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Information and communication theory, circuits (94-XX) 5 Difference and functional equations (39-XX) 4 Mechanics of particles and systems (70-XX) 3 General and overarching topics; collections (00-XX) 3 Functions of a complex variable (30-XX) 2 Number theory (11-XX) 2 Differential geometry (53-XX) 2 General topology (54-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Manifolds and cell complexes (57-XX) 1 Citations by Year Wikidata Timeline