Edit Profile Herbin, Raphaèle Compute Distance To: Compute Author ID: herbin.raphaele Published as: Herbin, R.; Herbin, Raphaele; Herbin, Raphaelle; Herbin, Raphaèle; Herbin, Raphaéle External Links: MGP · Wikidata · GND Documents Indexed: 132 Publications since 1986, including 5 Books all top 5 Co-Authors 5 single-authored 65 Eymard, Robert 58 Gallouët, Thierry 36 Latché, Jean-Claude 9 Droniou, Jérôme 9 Guichard, Cindy 7 Hubert, Florence 6 Chénier, Eric 6 Gastaldo, Laura 6 Kheriji, Walid 4 Cautrès, René 4 Hilhorst, Danielle 4 Masson, Roland 3 Bouillard, Nicolas 3 Gerbi, Stéphane 3 Mallem, K. 3 Nguyen, Trung Tan 3 Piar, Bruno 2 Babik, Fabrice 2 Bradji, Abdallah 2 Conrad, Francis 2 Gutnic, Michaël 2 Handlovičová, Angela 2 Labergerie, Olivier 2 Maltese, David 2 Marchand, Emmanuelle 2 Michel, Anthony 2 Mikula, Karol 2 Montarnal, Philippe 2 Ohayon, Jacques 2 Stašová, Olga 1 Agelas, Leo 1 Angot, Philippe 1 Bejček, Michal 1 Blanc, Philippe 1 Boyer, Franck 1 Brunel, Aubin 1 Chadwick, Richard S. 1 Champier, Sylvie 1 Coudière, Yves 1 Feistauer, Miloslav 1 Fořt, Jaroslav 1 Fournier, Dominique 1 Fürst, Jiří 1 Gallouët, Emily 1 Ghilani, Mustapha 1 Grapsas, Dionysios 1 Grapsas, Dionysis 1 Hájek, Jaroslav 1 Halama, Jan 1 Henry, Gérard 1 Henry, Marie 1 Jerome, Norman F. 1 Klöfkorn, Robert 1 Kröner, Dietmar 1 Lapuerta, Céline 1 Larcher, Aurélien 1 Le Tellier, R. 1 Linke, Alexander 1 Mainguy, M. 1 Mittelmann, Hans Detlef 1 Nasseri, Youssouf 1 Novotný, Antonín 1 Ohlberger, Mario 1 Piar, L. 1 Rhoudaf, Mohamed 1 Saleh, Khaled 1 Sonnad, Vijay 1 Teppaz, Pierre 1 Therme, Nicolas 1 Touazi, Ouardia 1 Vignal, Marie-Hélène all top 5 Serials 9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 IMA Journal of Numerical Analysis 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 SIAM Journal on Numerical Analysis 4 Mathematics of Computation 4 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 3 Calcolo 3 Numerische Mathematik 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Computers and Fluids 2 International Journal for Numerical Methods in Fluids 2 Numerical Methods for Partial Differential Equations 2 Acta Mathematica Universitatis Comenianae. New Series 2 Advances in Differential Equations 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Journal of Numerical Mathematics 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Computational Physics 1 Applied Mathematics and Computation 1 Czechoslovak Mathematical Journal 1 Mechanics Research Communications 1 Chinese Annals of Mathematics. Series B 1 Applied Numerical Mathematics 1 Applied Mathematics Letters 1 Differential and Integral Equations 1 Applications of Mathematics 1 SIAM Journal on Scientific Computing 1 Computational and Applied Mathematics 1 Mathematical Engineering in Industry 1 Comptes Rendus de l’Académie des Sciences. Série II. Fascicule b 1 Computing and Visualization in Science 1 Computational Geosciences 1 Nonlinear Analysis. Real World Applications 1 Foundations of Computational Mathematics 1 Computational Methods in Applied Mathematics 1 Mathématiques & Applications (Berlin) 1 Springer Proceedings in Mathematics 1 S\(\vec{\text{e}}\)MA Journal 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Références Sciences 1 SMAI Journal of Computational Mathematics all top 5 Fields 110 Numerical analysis (65-XX) 69 Partial differential equations (35-XX) 66 Fluid mechanics (76-XX) 5 Mechanics of deformable solids (74-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 General and overarching topics; collections (00-XX) 3 Biology and other natural sciences (92-XX) 2 Operator theory (47-XX) 1 Measure and integration (28-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 107 Publications have been cited 1,906 times in 969 Documents Cited by ▼ Year ▼ Finite volume methods. Zbl 0981.65095Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 402 2000 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 Benchmark on discretization schemes for anisotropic diffusion problems on general grids. Zbl 1422.65314Herbin, Raphaèle; Hubert, Florence 87 2008 Convergence of a finite volume scheme for nonlinear degenerate parabolic equations. Zbl 1005.65099Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle; Michel, Anthony 67 2002 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 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 Small-stencil 3D schemes for diffusive flows in porous media. Zbl 1271.76324Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle 51 2012 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 Mathematical study of a petroleum-engineering scheme. Zbl 1118.76355Eymard, Robert; Herbin, Raphaèle; Michel, Anthony 40 2003 An error estimate for a finite volume scheme for a diffusion-convection problem on a triangular mesh. Zbl 0822.65085Herbin, Raphaèle 39 1995 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 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 Convergence of a finite volume scheme for a nonlinear hyperbolic equation. Zbl 0843.65068Eymard, R.; Gallouët, T.; Herbin, R. 30 1995 3D benchmark on discretization schemes for anisotropic diffusion problems on general grids. Zbl 1246.76053Eymard, Robert; Henry, Gérard; Herbin, Raphaèle; Hubert, Florence; Klöfkorn, Robert 29 2011 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 Convergence analysis of a colocated finite volume scheme for the incompressible Navier-Stokes equations on general 2D or 3D meshes. Zbl 1173.76028Eymard, R.; Herbin, R.; Latché, J. C. 24 2007 Existence and uniqueness of the entropy solution to a nonlinear hyperbolic equation. Zbl 0830.35077Eymard, R.; Gallouët, T.; Herbin, R. 23 1995 Gradient schemes: generic tools for the numerical analysis of diffusion equations. Zbl 1346.65042Droniou, Jérome; Eymard, Robert; Herbin, Raphaèle 22 2016 Gradient schemes for two-phase flow in heterogeneous porous media and Richards equation. Zbl 1297.76159Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland 22 2014 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 nine-point finite volume scheme for the simulation of diffusion in heterogeneous media. Zbl 1166.65051Agelas, Léo; Eymard, Robert; Herbin, Raphaèle 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 Existence of a solution to a coupled elliptic system. Zbl 0791.35043Gallouët, T.; Herbin, R. 21 1994 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 On a stabilized collocated finite volume scheme for the Stokes problem. Zbl 1160.76370Eymard, Robert; Herbin, Raphaèle; Latché, Jean-Claude 18 2006 Convergence of finite volume schemes for semilinear convection diffusion equations. Zbl 0930.65118Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 18 1999 Convergence of the MAC scheme for the compressible Stokes equations. Zbl 1417.65185Eymard, R.; Gallouët, T.; Herbin, R.; Latché, J.-C. 17 2010 Vertex centred discretization of two-phase Darcy flows on general meshes. Zbl 1357.76037Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland 16 2012 A finite volume scheme for a noncoercive elliptic equation with measure data. Zbl 1058.65127Droniou, Jérôme; Gallouët, Thierry; Herbin, Raphaèle 16 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. 16 1993 TP or not TP, that is the question. Zbl 1378.76118Eymard, R.; Gallouët, T.; Guichard, C.; Herbin, R.; Masson, R. 15 2014 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 On some implicit and semi-implicit staggered schemes for the shallow water and Euler equations. Zbl 1304.35519Herbin, R.; Kheriji, W.; Latché, J.-C. 13 2014 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 An error estimate for finite volume methods for the Stokes equations on equilateral triangular meshes. Zbl 1116.76395Blanc, Philippe; Eymard, Robert; Herbin, Raphaèle 11 2004 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 A new colocated finite volume scheme for the incompressible Navier-Stokes equations on general non matching grids. Zbl 1114.76047Eymard, Robert; Herbin, Raphaèle 10 2007 Numerical approximation of an elliptic-parabolic equation arising in environment. Zbl 1060.76075Eymard, R.; Gallouët, T.; Gutnic, M.; Herbin, R.; Hilhorst, D. 10 2000 Explicit staggered schemes for the compressible Euler equations. Zbl 1329.76206Herbin, R.; Latché, J.-C.; Nguyen, T. T. 9 2013 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 Staggered schemes for all speed flows. Zbl 1357.76038Herbin, Raphaèle; Kheriji, Walid; Latche, Jean-Claude 8 2012 A discretization of the phase mass balance in fractional step algorithms for the drift-flux model. Zbl 1428.76118Gastaldo, Laura; Herbin, Raphaèle; Latché, Jean-Claude 8 2011 Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids. Zbl 1179.65138Eymard, R.; Gallouët, T.; Herbin, R. 8 2009 Discretization of coupled heat and electrical diffusion problems by finite-element and finite-volume methods. Zbl 1144.78024Bradji, Abdallah; Herbin, Raphaèle 8 2008 The Lions domain decomposition algorithm on non-matching cell-centred finite volume meshes. Zbl 1065.65137Cautrès, René; Herbin, Raphaèle; Hubert, Florence 8 2004 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 Pressure correction staggered schemes for barotropic one-phase and two-phase flows. Zbl 1391.76778Kheriji, Walid; Herbin, Raphaèle; Latché, Jean-Claude 7 2013 Finite volume schemes for the biharmonic problem on general meshes. Zbl 1271.65135Eymard, R.; Gallouët, T.; Herbin, R.; Linke, A. 7 2012 Staggered discretizations, pressure correction schemes and all speed barotropic flows. Zbl 1246.76094Gastaldo, L.; Herbin, R.; Kheriji, W.; Lapuerta, C.; Latché, J.-C. 7 2011 Diffusion with dissolution and precipitation in a porous medium: mathematical analysis and numerical approximation of a simplified model. Zbl 1130.76086Bouillard, Nicolas; Eymard, Robert; Herbin, Raphaele; Montarnal, Philippe 7 2007 An unconditionally stable staggered pressure correction scheme for the compressible Navier-Stokes equations. Zbl 1416.76149Grapsas, Dionysis; Herbin, Raphaèle; Kheriji, Walid; Latché, Jean-Claude 6 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 A finite volume scheme on general meshes for the steady Navier-Stokes equations in two space dimensions. Zbl 1173.76361Eymard, Robert; Herbin, Raphaèle 6 2004 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 Finite volume schemes for elliptic and elliptic-hyperbolic problems on triangular meshes. Zbl 0897.76072Herbin, Raphaèle; Labergerie, Olivier 6 1997 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 the MAC scheme for the steady-state incompressible Navier-Stokes equations on non-uniform grids. Zbl 1304.76038Herbin, R.; Latché, J.-C.; Mallem, K. 5 2014 On the stability of colocated clustered finite volume simplicial discretizations for the 2D Stokes problem. Zbl 1137.76062Eymard, R.; Herbin, R.; Latché, J. C.; Piar, B. 5 2007 Convergence of linear finite elements for diffusion equations with measure data. Zbl 1038.65110Gallouët, Thierry; Herbin, Raphaèle 5 2004 A monotonic method for the numerical solution of some free boundary value problems. Zbl 1040.65055Herbin, Raphaèle 5 2003 Approximation of obstacle problems by continuation methods. Zbl 0668.65048Conrad, Francis; Herbin, Raphaele; Mittelmann, Hans D. 5 1988 Gradient scheme approximations for diffusion problems. Zbl 1246.65205Eymard, Robert; Herbin, Raphaèle 4 2011 Convergence analysis of a locally stabilized collocated finite volume scheme for incompressible flows. Zbl 1246.76087Eymard, Robert; Herbin, Raphaèle; Latché, Jean-Claude; Piar, Bruno 4 2009 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 A posteriori error estimate for finite volume approximations of convection diffusion problems. Zbl 1060.65103Herbin, Raphaèle; Ohlberger, Mario 4 2002 Finite volume approximation of a class of variational inequalities. Zbl 0990.65069Herbin, Raphaèle; Marchand, Emmanuelle 4 2001 Instantaneous and noninstantaneous dissolution: Approximation by the finite volume method. Zbl 1020.65052Eymard, R.; Gallouët, T.; Herbin, R.; Hilhorst, D.; Mainguy, M. 4 1999 Consistent segregated staggered schemes with explicit steps for the isentropic and full Euler equations. Zbl 1405.35149Herbin, Raphaèle; Latché, Jean-Claude; Nguyen, Trung Tan 3 2018 An unconditionally stable finite element-finite volume pressure correction scheme for the drift-flux model. Zbl 1258.76112Gastaldo, Laura; Herbin, Raphaèle; Latché, Jean-Claude 3 2010 A fast precipitation and dissolution reaction for a reaction-diffusion system arising in a porous medium. Zbl 1167.35396Bouillard, N.; Eymard, R.; Henry, M.; Herbin, R.; Hilhorst, D. 3 2009 A cell-centered finite volume scheme on general meshes for the Stokes equations in two space dimensions. Zbl 1084.76052Eymard, Robert; Herbin, Raphaèle 3 2003 A uniqueness result for measure-valued solutions of nonlinear hyperbolic equations. Zbl 0806.35114Gallouët, Thierry; Herbin, Raphaèle 3 1993 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 Applications of approximate gradient schemes for nonlinear parabolic equations. Zbl 1340.65187Eymard, Robert; Handlovičová, Angela; Herbin, Raphaèle; Mikula, Karol; Stašová, Olga 2 2015 Gradient schemes for image processing. Zbl 1246.65163Eymard, Robert; Handlovičová, Angela; Herbin, Raphaèle; Mikula, Karol; Stašová, Olga 2 2011 Finite volumes for complex applications VI: Problems and perspectives. FVCA 6, international symposium, Prague, Czech Republich, June 6–10, 2011. Vol. 1 and 2. Zbl 1220.76004Fořt, Jaroslav (ed.); Fürst, Jiří (ed.); Halama, Jan (ed.); Herbin, Raphaèle (ed.); Hubert, Florence (ed.) 2 2011 Approximation of the biharmonic problem using P1 finite elements. Zbl 1261.65118Eymard, Robert; Herbin, Raphaèle; Rhoudaf, Mohamed 2 2011 Approximation of the biharmonic problem using piecewise linear finite elements. Zbl 1205.65314Eymard, Robert; Herbin, Raphaèle 2 2010 Finite volumes for complex applications III. Problems and perspectives. Papers from the 3rd symposium of finite volumes for complex applications, Porquerolles, France, June 24–28, 2002. Zbl 1049.65002Herbin, Raphaéle (ed.); Kröner, Dietmar (ed.) 2 2002 Fluid-active structure interaction: Arterial flow. Zbl 0873.76099Teppaz, Pierre; Ohayon, Jacques; Herbin, Raphaèle 2 1997 A MUSCL-type segregated – explicit staggered scheme for the Euler equations. Zbl 1410.76226Gastaldo, Laura; Herbin, Raphaèle; Latché, Jean-Claude; Therme, Nicolas 1 2018 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 A formally second-order cell centred scheme for convection-diffusion equations on general grids. Zbl 1430.76374Piar, L.; Babik, F.; Herbin, R.; Latché, Jean-Claude 1 2013 Discontinuous Galerkin discretization and \(hp\)-refinement for the resolution of the neutron transport equation. Zbl 1267.74119Fournier, D.; Herbin, R.; Le Tellier, R. 1 2013 Measure, integration, probability. Zbl 1273.28001Gallouët, Thierry; Herbin, Raphaèle 1 2013 Benchmark 3D: the VAG scheme. Zbl 1246.76084Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle 1 2011 Discretization of the viscous dissipation term with the MAC scheme. Zbl 1246.76063Babik, F.; Herbin, R.; Kheriji, W.; Latché, J.-C. 1 2011 Playing with Burgers’s equation. Zbl 1246.76093Gallouët, T.; Herbin, R.; Latché, J.-C.; Nguyen, T. T. 1 2011 Multiphase flow in porous media using the VAG scheme. Zbl 1246.76085Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland 1 2011 An extension of the MAC scheme to some unstructured meshes. Zbl 1246.76113Chénier, Eric; Eymard, Robert; Herbin, Raphaèle 1 2011 A collocated finite volume scheme to solve free convection for general non-conforming grids. Zbl 1158.76028Chénier, Eric; Eymard, Robert; Herbin, Raphaèle 1 2009 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 Consistent segregated staggered schemes with explicit steps for the isentropic and full Euler equations. Zbl 1405.35149Herbin, Raphaèle; Latché, Jean-Claude; Nguyen, Trung Tan 3 2018 A MUSCL-type segregated – explicit staggered scheme for the Euler equations. Zbl 1410.76226Gastaldo, Laura; Herbin, Raphaèle; Latché, Jean-Claude; Therme, Nicolas 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 Gradient schemes: generic tools for the numerical analysis of diffusion equations. Zbl 1346.65042Droniou, Jérome; Eymard, Robert; Herbin, Raphaèle 22 2016 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 An unconditionally stable staggered pressure correction scheme for the compressible Navier-Stokes equations. Zbl 1416.76149Grapsas, Dionysis; Herbin, Raphaèle; Kheriji, Walid; Latché, Jean-Claude 6 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 Applications of approximate gradient schemes for nonlinear parabolic equations. Zbl 1340.65187Eymard, Robert; Handlovičová, Angela; Herbin, Raphaèle; Mikula, Karol; Stašová, Olga 2 2015 Gradient schemes for two-phase flow in heterogeneous porous media and Richards equation. Zbl 1297.76159Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland 22 2014 TP or not TP, that is the question. Zbl 1378.76118Eymard, R.; Gallouët, T.; Guichard, C.; Herbin, R.; Masson, R. 15 2014 On some implicit and semi-implicit staggered schemes for the shallow water and Euler equations. Zbl 1304.35519Herbin, R.; Kheriji, W.; Latché, J.-C. 13 2014 Convergence of the MAC scheme for the steady-state incompressible Navier-Stokes equations on non-uniform grids. Zbl 1304.76038Herbin, R.; Latché, J.-C.; Mallem, K. 5 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 Explicit staggered schemes for the compressible Euler equations. Zbl 1329.76206Herbin, R.; Latché, J.-C.; Nguyen, T. T. 9 2013 Pressure correction staggered schemes for barotropic one-phase and two-phase flows. Zbl 1391.76778Kheriji, Walid; Herbin, Raphaèle; Latché, Jean-Claude 7 2013 A formally second-order cell centred scheme for convection-diffusion equations on general grids. Zbl 1430.76374Piar, L.; Babik, F.; Herbin, R.; Latché, Jean-Claude 1 2013 Discontinuous Galerkin discretization and \(hp\)-refinement for the resolution of the neutron transport equation. Zbl 1267.74119Fournier, D.; Herbin, R.; Le Tellier, R. 1 2013 Measure, integration, probability. Zbl 1273.28001Gallouët, Thierry; Herbin, Raphaèle 1 2013 Small-stencil 3D schemes for diffusive flows in porous media. Zbl 1271.76324Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle 51 2012 Vertex centred discretization of two-phase Darcy flows on general meshes. Zbl 1357.76037Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland 16 2012 W\(^{1,q }\) stability of the Fortin operator for the MAC scheme. Zbl 1248.76109Gallouët, T.; Herbin, R.; Latché, J.-C. 9 2012 Staggered schemes for all speed flows. Zbl 1357.76038Herbin, Raphaèle; Kheriji, Walid; Latche, Jean-Claude 8 2012 Finite volume schemes for the biharmonic problem on general meshes. Zbl 1271.65135Eymard, R.; Gallouët, T.; Herbin, R.; Linke, A. 7 2012 3D benchmark on discretization schemes for anisotropic diffusion problems on general grids. Zbl 1246.76053Eymard, Robert; Henry, Gérard; Herbin, Raphaèle; Hubert, Florence; Klöfkorn, Robert 29 2011 A discretization of the phase mass balance in fractional step algorithms for the drift-flux model. Zbl 1428.76118Gastaldo, Laura; Herbin, Raphaèle; Latché, Jean-Claude 8 2011 Staggered discretizations, pressure correction schemes and all speed barotropic flows. Zbl 1246.76094Gastaldo, L.; Herbin, R.; Kheriji, W.; Lapuerta, C.; Latché, J.-C. 7 2011 Gradient scheme approximations for diffusion problems. Zbl 1246.65205Eymard, Robert; Herbin, Raphaèle 4 2011 Gradient schemes for image processing. Zbl 1246.65163Eymard, Robert; Handlovičová, Angela; Herbin, Raphaèle; Mikula, Karol; Stašová, Olga 2 2011 Finite volumes for complex applications VI: Problems and perspectives. FVCA 6, international symposium, Prague, Czech Republich, June 6–10, 2011. Vol. 1 and 2. Zbl 1220.76004Fořt, Jaroslav (ed.); Fürst, Jiří (ed.); Halama, Jan (ed.); Herbin, Raphaèle (ed.); Hubert, Florence (ed.) 2 2011 Approximation of the biharmonic problem using P1 finite elements. Zbl 1261.65118Eymard, Robert; Herbin, Raphaèle; Rhoudaf, Mohamed 2 2011 Benchmark 3D: the VAG scheme. Zbl 1246.76084Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle 1 2011 Discretization of the viscous dissipation term with the MAC scheme. Zbl 1246.76063Babik, F.; Herbin, R.; Kheriji, W.; Latché, J.-C. 1 2011 Playing with Burgers’s equation. Zbl 1246.76093Gallouët, T.; Herbin, R.; Latché, J.-C.; Nguyen, T. T. 1 2011 Multiphase flow in porous media using the VAG scheme. Zbl 1246.76085Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland 1 2011 An extension of the MAC scheme to some unstructured meshes. Zbl 1246.76113Chénier, Eric; Eymard, Robert; Herbin, Raphaèle 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 An unconditionally stable finite element-finite volume pressure correction scheme for the drift-flux model. Zbl 1258.76112Gastaldo, Laura; Herbin, Raphaèle; Latché, Jean-Claude 3 2010 Approximation of the biharmonic problem using piecewise linear finite elements. Zbl 1205.65314Eymard, Robert; Herbin, Raphaèle 2 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 A nine-point finite volume scheme for the simulation of diffusion in heterogeneous media. Zbl 1166.65051Agelas, Léo; Eymard, Robert; Herbin, Raphaèle 22 2009 Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids. Zbl 1179.65138Eymard, R.; Gallouët, T.; Herbin, R. 8 2009 Convergence analysis of a locally stabilized collocated finite volume scheme for incompressible flows. Zbl 1246.76087Eymard, Robert; Herbin, Raphaèle; Latché, Jean-Claude; Piar, Bruno 4 2009 A fast precipitation and dissolution reaction for a reaction-diffusion system arising in a porous medium. Zbl 1167.35396Bouillard, N.; Eymard, R.; Henry, M.; Herbin, R.; Hilhorst, D. 3 2009 A collocated finite volume scheme to solve free convection for general non-conforming grids. Zbl 1158.76028Chénier, Eric; Eymard, Robert; Herbin, Raphaèle 1 2009 Benchmark on discretization schemes for anisotropic diffusion problems on general grids. Zbl 1422.65314Herbin, Raphaèle; Hubert, Florence 87 2008 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 of coupled heat and electrical diffusion problems by finite-element and finite-volume methods. Zbl 1144.78024Bradji, Abdallah; Herbin, Raphaèle 8 2008 Discretization schemes for linear diffusion operators on general non-conforming meshes. Zbl 1422.65309Eymard, R.; Gallouët, T.; Herbin, R. 4 2008 A pressure correction scheme for the homogeneous two-phase flow model with two barotropic phases. Zbl 1374.76144Gastaldo, Laura; Herbin, Raphaèle; Latché, Jean-Claude 1 2008 Collocated finite volume schemes for the simulation of natural convective flows on unstructured meshes. Zbl 1133.76028Chénier, Eric; Eymard, Robert; Herbin, Raphaèle; Touazi, Ouardia 1 2008 Convergence analysis of a colocated finite volume scheme for the incompressible Navier-Stokes equations on general 2D or 3D meshes. Zbl 1173.76028Eymard, R.; Herbin, R.; Latché, J. C. 24 2007 A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis. Zbl 1112.65120Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 22 2007 A new colocated finite volume scheme for the incompressible Navier-Stokes equations on general non matching grids. Zbl 1114.76047Eymard, Robert; Herbin, Raphaèle 10 2007 Analysis tools for finite volume schemes. Zbl 1133.65062Eymard, Robert; Gallouët, Thiery; Herbin, Raphaele; Latché, Jean Claude 9 2007 Diffusion with dissolution and precipitation in a porous medium: mathematical analysis and numerical approximation of a simplified model. Zbl 1130.76086Bouillard, Nicolas; Eymard, Robert; Herbin, Raphaele; Montarnal, Philippe 7 2007 On the stability of colocated clustered finite volume simplicial discretizations for the 2D Stokes problem. Zbl 1137.76062Eymard, R.; Herbin, R.; Latché, J. C.; Piar, B. 5 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 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 On a stabilized collocated finite volume scheme for the Stokes problem. Zbl 1160.76370Eymard, Robert; Herbin, Raphaèle; Latché, Jean-Claude 18 2006 A finite volume scheme for anisotropic diffusion problems. Zbl 1055.65124Eymard, Robert; Gallouët, Thierry; Herbin, Raphaéle 12 2004 An error estimate for finite volume methods for the Stokes equations on equilateral triangular meshes. Zbl 1116.76395Blanc, Philippe; Eymard, Robert; Herbin, Raphaèle 11 2004 The Lions domain decomposition algorithm on non-matching cell-centred finite volume meshes. Zbl 1065.65137Cautrès, René; Herbin, Raphaèle; Hubert, Florence 8 2004 A finite volume scheme on general meshes for the steady Navier-Stokes equations in two space dimensions. Zbl 1173.76361Eymard, Robert; Herbin, Raphaèle 6 2004 Convergence of linear finite elements for diffusion equations with measure data. Zbl 1038.65110Gallouët, Thierry; Herbin, Raphaèle 5 2004 Mathematical study of a petroleum-engineering scheme. Zbl 1118.76355Eymard, Robert; Herbin, Raphaèle; Michel, Anthony 40 2003 A finite volume scheme for a noncoercive elliptic equation with measure data. Zbl 1058.65127Droniou, Jérôme; Gallouët, Thierry; Herbin, Raphaèle 16 2003 A monotonic method for the numerical solution of some free boundary value problems. Zbl 1040.65055Herbin, Raphaèle 5 2003 A cell-centered finite volume scheme on general meshes for the Stokes equations in two space dimensions. Zbl 1084.76052Eymard, Robert; Herbin, Raphaèle 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 Error estimate for approximate solutions of a nonlinear convection-diffusion problem. Zbl 1173.35563Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 14 2002 A posteriori error estimate for finite volume approximations of convection diffusion problems. Zbl 1060.65103Herbin, Raphaèle; Ohlberger, Mario 4 2002 Finite volumes for complex applications III. Problems and perspectives. Papers from the 3rd symposium of finite volumes for complex applications, Porquerolles, France, June 24–28, 2002. Zbl 1049.65002Herbin, Raphaéle (ed.); Kröner, Dietmar (ed.) 2 2002 Nonmatching finite volume grids and the nonoverlapping Schwarz algorithm. Zbl 1026.65099Cautrés, R.; Herbin, R.; Hubert, F. 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 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 a class of variational inequalities. Zbl 0990.65069Herbin, Raphaèle; Marchand, Emmanuelle 4 2001 Finite volume methods. Zbl 0981.65095Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 402 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 Convergence of finite volume schemes for semilinear convection diffusion equations. Zbl 0930.65118Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 18 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 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 Existence of a solution to a coupled elliptic system with a Signorini condition. Zbl 0959.35047Gerbi, Stéphane; Herbin, Raphaèle; Marchand, Emmanuelle 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 volume schemes for elliptic and elliptic-hyperbolic problems on triangular meshes. Zbl 0897.76072Herbin, Raphaèle; Labergerie, Olivier 6 1997 Fluid-active structure interaction: Arterial flow. Zbl 0873.76099Teppaz, Pierre; Ohayon, Jacques; Herbin, Raphaèle 2 1997 An error estimate for a finite volume scheme for a diffusion-convection problem on a triangular mesh. Zbl 0822.65085Herbin, Raphaèle 39 1995 ...and 7 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,209 Authors 54 Eymard, Robert 44 Herbin, Raphaèle 39 Droniou, Jérôme 38 Gallouët, Thierry 36 Di Pietro, Daniele Antonio 27 Cancès, Clément 26 Latché, Jean-Claude 22 Bradji, Abdallah 22 Manzini, Gianmarco 20 Vohralík, Martin 19 Saad, Mazen 18 Beirão da Veiga, Lourenço 18 Chainais-Hillairet, Claire 17 Andreianov, Boris 17 Fuhrmann, Jürgen 17 Masson, Roland 15 Brenner, Konstantin 15 Brezzi, Franco 15 Ern, Alexandre 15 Wu, Jiming 15 Yuan, Guangwei 15 Zou, Qingsong 14 Hilhorst, Danielle 13 Karlsen, Kenneth Hvistendahl 12 Russo, Alessandro 11 Bendahmane, Mostafa 11 Lipnikov, Konstantin N. 11 Marini, Luisa Donatella 11 Sepúlveda, Mauricio A. 10 Linke, Alexander 10 Risebro, Nils Henrik 9 Rui, Hongxing 8 Clain, Stéphane Louis 8 Guichard, Cindy 8 Le Potier, Christophe 8 Luo, Zhendong 8 Ohlberger, Mario 8 Pop, Iuliu Sorin 8 Zhang, Zhimin 7 Antonietti, Paola Francesca 7 Bessemoulin-Chatard, Marianne 7 Després, Bruno 7 Feireisl, Eduard 7 Gao, Zhiming 7 Hérard, Jean-Marc 7 Krell, Stella 7 Mikula, Karol 7 Sheng, Zhiqiang 7 Tchelepi, Hamdi A. 7 Vovelle, Julien 7 Yang, Min 6 Faille, Isabelle 6 Gaspar, Francisco José 6 Glitzky, Annegret 6 Goatin, Paola 6 Lukáčová-Medvid’ová, Mária 6 Murakawa, Hideki 6 Ruiz-Baier, Ricardo 6 Vignal, Marie-Hélène 5 Bauzet, Caroline 5 Bürger, Raimund 5 Chénier, Eric 5 Coudière, Yves 5 Goudon, Thierry 5 Hermeline, François 5 Ibrahim, Moustafa 5 Jüngel, Ansgar 5 Machado, Gaspar J. 5 Quenjel, EL Houssaine 5 Rodrigo, Carmen 5 Schwab, Christoph 5 Seguin, Nicolas 5 Shashkov, Mikhail J. 5 She, Bangwei 5 Tambue, Antoine 5 Terekhov, Kirill M. 5 Vila, Jean-Paul 5 Wang, Yihong 5 Xu, Yuesheng 5 Ye, Xiu 5 Yousef, Soleiman 4 Agelas, Leo 4 Amaziane, Brahim 4 Anthonissen, Martijn Johannes Hermanus 4 Benzakour Amine, M. 4 Bertolazzi, Enrico 4 Bonelle, Jérôme 4 Botti, Lorenzo 4 Botti, Michele 4 Bourdarias, Christian 4 Calgaro, Caterina 4 Chamoun, Georges 4 Chen, Shuangshuang 4 Cheng, Hanz Martin C. 4 Filbet, Francis 4 Formaggia, Luca 4 Gastaldo, Laura 4 Gerbi, Stéphane 4 Ghidaglia, Jean-Michel 4 Gyrya, Vitaliy T. ...and 1,109 more Authors all top 5 Cited in 145 Serials 76 Journal of Computational Physics 54 Numerische Mathematik 53 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 41 Journal of Computational and Applied Mathematics 39 Mathematics of Computation 36 Applied Numerical Mathematics 35 Computers & Mathematics with Applications 35 SIAM Journal on Numerical Analysis 35 Comptes Rendus. 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Série VI 1 Potential Analysis 1 Calculus of Variations and Partial Differential Equations 1 Communications in Numerical Methods in Engineering 1 Russian Journal of Mathematical Physics ...and 45 more Serials all top 5 Cited in 35 Fields 770 Numerical analysis (65-XX) 528 Partial differential equations (35-XX) 406 Fluid mechanics (76-XX) 58 Mechanics of deformable solids (74-XX) 49 Biology and other natural sciences (92-XX) 32 Classical thermodynamics, heat transfer (80-XX) 30 Geophysics (86-XX) 26 Probability theory and stochastic processes (60-XX) 26 Statistical mechanics, structure of matter (82-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 20 Optics, electromagnetic theory (78-XX) 14 Operations research, mathematical programming (90-XX) 12 Functional analysis (46-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Computer science (68-XX) 5 Integral equations (45-XX) 5 Information and communication theory, circuits (94-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 General and overarching topics; collections (00-XX) 3 Potential theory (31-XX) 3 Operator theory (47-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 General topology (54-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline