Convergence of finite volume schemes for semilinear convection diffusion equations. - Robert Eymard; Thierry Gallouët; Raphaèle Herbin (Numerische Mathematik, 1999)

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

Convergence of a finite volume scheme for nonlinear degenerate parabolic equations. - Robert Eymard; Thierry Gallouët; Raphaèle Herbin; Anthony Michel (Numerische Mathematik, 2002)

A Monotonic Method for the Numerical Solution of Some Free Boundary Value Problems. - Raphaèle Herbin (SIAM J. Numer. Anal., 2002)

A Finite Volume Scheme for a Noncoercive Elliptic Equation with Measure Data. - Jérôme Droniou; Thierry Gallouët; Raphaèle Herbin (SIAM J. Numer. Anal., 2003)

On the Discretization of the Coupled Heat and Electrical Diffusion Problems. - Abdallah Bradji; Raphaèle Herbin (Numerical Methods and Applications, 2006)

Convergence Analysis of a Colocated Finite Volume Scheme for the Incompressible Navier-Stokes Equations on General 2D or 3D Meshes. - Robert Eymard; Raphaèle Herbin; Jean-Claude Latché (SIAM J. Numer. Anal., 2007)

A collocated finite volume scheme to solve free convection for general non-conforming grids. - Eric Chénier; Robert Eymard; Raphaèle Herbin (J. Comput. Phys., 2009)

Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids. - Robert Eymard; Thierry Gallouët; Raphaèle Herbin (J. Num. Math., 2009)

A convergent finite element-finite volume scheme for the compressible Stokes problem. Part I: The isothermal case. - Thierry Gallouët; Raphaèle Herbin; Jean-Claude Latché (Math. Comput., 2009)

A convergent finite element-finite volume scheme for the compressible Stokes problem. Part II: the isentropic case. - Robert Eymard; Thierry Gallouët; Raphaèle Herbin; Jean-Claude Latché (Math. Comput., 2010)

Finite volume method. - Robert Eymard; Thierry Gallouët; Raphaèle Herbin (Scholarpedia, 2010)

Convergence of the MAC Scheme for the Compressible Stokes Equations. - Robert Eymard; Thierry Gallouët; Raphaèle Herbin; Jean-Claude Latché (SIAM J. Numer. Anal., 2010)

Approximation of the biharmonic problem using P1 finite elements. - Robert Eymard; Raphaèle Herbin; M. Rhoudaf (J. Num. Math., 2011)

"A Note on the Entropy Solutions of the Hydrodynamic Model of Traffic Flow" Revisited. - Raphaèle Herbin; Ludovic Leclercq (Transp. Sci., 2011)

Finite volume schemes for the biharmonic problem on general meshes. - Robert Eymard; Thierry Gallouët; Raphaèle Herbin; Alexander Linke (Math. Comput., 2012)

Discontinuous Galerkin Discretization and hp-Refinement for the Resolution of the Neutron Transport Equation. - Damien Fournier; Raphaèle Herbin; R. Le Tellier (SIAM J. Sci. Comput., 2013)

RTk mixed finite elements for some nonlinear problems. - Robert Eymard; Thierry Gallouët; Raphaèle Herbin (Math. Comput. Simul., 2015)

Convergence of the marker-and-cell scheme for the semi-stationary compressible Stokes problem. - Thierry Gallouët; Raphaèle Herbin; David Maltese; Antonín Novotný (Math. Comput. Simul., 2017)

A Class of Staggered Schemes for the Compressible Euler Equations. - Raphaèle Herbin; Jean-Claude Latché (NMA, 2018)

Convergence of the Marker-and-Cell Scheme for the Incompressible Navier-Stokes Equations on Non-uniform Grids. - Thierry Gallouët; Raphaèle Herbin; Jean-Claude Latché; K. Mallem (Found. Comput. Math., 2018)

Convergence of the MAC scheme for the compressible stationary Navier-Stokes equations. - Thierry Gallouët; Raphaèle Herbin; Jean-Claude Latché; David Maltese (Math. Comput., 2018)

On The Weak Consistency of Finite Volumes Schemes for Conservation Laws on General Meshes. - Thierry Gallouët; Raphaèle Herbin; Jean-Claude Latché (CoRR, 2019)

A decoupled staggered scheme for the shallow water equations. - Raphaèle Herbin; Jean-Claude Latché; Youssouf Nasseri; Nicolas Therme (CoRR, 2019)

Consistent Internal Energy Based Schemes for the Compressible Euler Equations. - Raphaèle Herbin; Thierry Gallouët; Jean-Claude Latché; Nicolas Therme (CoRR, 2019)

The Gradient Discretisation Method for Linear Advection Problems. - Jérôme Droniou; Robert Eymard; Thierry Gallouët; Raphaèle Herbin (Comput. Methods Appl. Math., 2020)

A Class of Collocated Finite Volume Schemes for Incompressible Flow Problems. - Robert Eymard; Raphaèle Herbin; Jean-Claude Latché; Bruno Piar (CoRR, 2020)

Non-conforming finite elements on polytopal meshes. - Jérôme Droniou; Robert Eymard; Thierry Gallouët; Raphaèle Herbin (CoRR, 2020)

A staggered pressure correction numerical scheme to compute a travelling reactive interface in a partially premixed mixture. - D. Grapsas; Raphaèle Herbin; Jean-Claude Latché; Youssouf Nasseri (CoRR, 2020)

Modelling of a spherical deflagration at constant speed. - D. Grapsas; Raphaèle Herbin; Jean-Claude Latché; Youssouf Nasseri (Comput. Appl. Math., 2021)

Weak Consistency of Finite Volume Schemes for Systems of Non Linear Conservation Laws: Extension to Staggered Schemes. - Thierry Gallouët; Raphaèle Herbin; Jean-Claude Latché (CoRR, 2021)

Finite volume schemes and Lax-Wendroff consistency. - Robert Eymard; Thierry Gallouët; Raphaèle Herbin; Jean-Claude Latché (CoRR, 2021)

Convergence of the implicit MAC-discretized Navier-Stokes equations with variable density and viscosity on non-uniform grids. - Léa Batteux; Thierry Gallouët; Raphaèle Herbin; Jean-Claude Latché; Pascal Poullet (CoRR, 2021)

A Consistent Quasi-Second Order Staggered Scheme for the Two-Dimensional Shallow Water Equations. - Raphaèle Herbin; Jean-Claude Latché; Youssouf Nasseri; Nicolas Therme (CoRR, 2021)

Conservativity and weak consistency of a class of staggered finite volume methods for the Euler equations. - Raphaèle Herbin; Jean-Claude Latché; Sébastian Minjeaud; Nicolas Therme (Math. Comput., 2021)

Low Mach number limit of some staggered schemes for compressible barotropic flows. - Raphaèle Herbin; Jean-Claude Latché; K. Saleh (Math. Comput., 2021)

Convergence of the fully discrete incremental projection scheme for incompressible flows. - Thierry Gallouët; Raphaèle Herbin; Jean-Claude Latché; David Maltese (CoRR, 2022)

A MUSCL-like finite volumes approximation of the momentum convection operator for low-order nonconforming face-centred discretizations. - Aubin Brunel; Raphaèle Herbin; Jean-Claude Latché (CoRR, 2023)

Optimal error estimates for non-conforming approximations of linear parabolic problems with minimal regularity. - Jérôme Droniou; Robert Eymard; Thierry Gallouët; Cindy Guichard; Raphaèle Herbin (CoRR, 2023)

Convergence of the MAC scheme for the incompressible Navier-Stokes equations with variable density and viscosity. - Léa Batteux; Thierry Gallouët; Raphaèle Herbin; Jean-Claude Latché; Pascal Poullet (Math. Comput., 2023)

Optimal error bounds for the two-point flux approximation finite volume scheme. - Robert Eymard; Thierry Gallouët; Raphaèle Herbin (Math. Comput., 2024)

A Staggered Scheme for the Compressible Euler Equations on General 3D Meshes. - Aubin Brunel; Raphaèle Herbin; Jean-Claude Latché (J. Sci. Comput., 2024)