Raphaèle Herbin

Publication Activity (10 Years)

Years Active: 1999-2024
Publications (10 Years): 27

Top Topics

Numerical Scheme

Error Estimates

Wavelet Synopses

Top Venues

Math. Comput. Simul.

Comput. Appl. Math.

Publications

Aubin Brunel, Raphaèle Herbin, Jean-Claude Latché
A Staggered Scheme for the Compressible Euler Equations on General 3D Meshes. J. Sci. Comput. 100 (2) (2024)
Robert Eymard, Thierry Gallouët, Raphaèle Herbin
Optimal error bounds for the two point flux approximation finite volume scheme. CoRR (2024)
Jérôme Droniou, Robert Eymard, Thierry Gallouët, Cindy Guichard, Raphaèle Herbin
Optimal error estimates for non-conforming approximations of linear parabolic problems with minimal regularity. CoRR (2023)
Aubin Brunel, Raphaèle Herbin, Jean-Claude Latché
A MUSCL-like finite volumes approximation of the momentum convection operator for low-order nonconforming face-centred discretizations. CoRR (2023)
Léa Batteux, Thierry Gallouët, Raphaèle Herbin, Jean-Claude Latché, Pascal Poullet
Convergence of the MAC scheme for the incompressible Navier-Stokes equations with variable density and viscosity. Math. Comput. 92 (342) (2023)
Aubin Brunel, Raphaèle Herbin, Jean-Claude Latché
A staggered scheme for the compressible Euler equations on general 3D meshes. CoRR (2022)
Thierry Gallouët, Raphaèle Herbin, Jean-Claude Latché, David Maltese
Convergence of the fully discrete incremental projection scheme for incompressible flows. CoRR (2022)
Raphaèle Herbin, Jean-Claude Latché, Sébastian Minjeaud, Nicolas Therme
Conservativity and weak consistency of a class of staggered finite volume methods for the Euler equations. Math. Comput. 90 (329) (2021)
Raphaèle Herbin, Jean-Claude Latché, Youssouf Nasseri, Nicolas Therme
A Consistent Quasi-Second Order Staggered Scheme for the Two-Dimensional Shallow Water Equations. CoRR (2021)
Raphaèle Herbin, Jean-Claude Latché, K. Saleh
Low Mach number limit of some staggered schemes for compressible barotropic flows. Math. Comput. 90 (329) (2021)
Léa Batteux, Thierry Gallouët, Raphaèle Herbin, Jean-Claude Latché, Pascal Poullet
Convergence of the implicit MAC-discretized Navier-Stokes equations with variable density and viscosity on non-uniform grids. CoRR (2021)
Thierry Gallouët, Raphaèle Herbin, Jean-Claude Latché
Weak Consistency of Finite Volume Schemes for Systems of Non Linear Conservation Laws: Extension to Staggered Schemes. CoRR (2021)
D. Grapsas, Raphaèle Herbin, Jean-Claude Latché, Youssouf Nasseri
Modelling of a spherical deflagration at constant speed. Comput. Appl. Math. 40 (5) (2021)
Robert Eymard, Thierry Gallouët, Raphaèle Herbin, Jean-Claude Latché
Finite volume schemes and Lax-Wendroff consistency. CoRR (2021)
Robert Eymard, Raphaèle Herbin, Jean-Claude Latché, Bruno Piar
A Class of Collocated Finite Volume Schemes for Incompressible Flow Problems. CoRR (2020)
D. Grapsas, Raphaèle Herbin, Jean-Claude Latché, Youssouf Nasseri
Modelling of a spherical deflagration at constant speed. CoRR (2020)
D. Grapsas, Raphaèle Herbin, Jean-Claude Latché, Youssouf Nasseri
A staggered pressure correction numerical scheme to compute a travelling reactive interface in a partially premixed mixture. CoRR (2020)
Jérôme Droniou, Robert Eymard, Thierry Gallouët, Raphaèle Herbin
Non-conforming finite elements on polytopal meshes. CoRR (2020)
Jérôme Droniou, Robert Eymard, Thierry Gallouët, Raphaèle Herbin
The Gradient Discretisation Method for Linear Advection Problems. Comput. Methods Appl. Math. 20 (3) (2020)
Raphaèle Herbin, Thierry Gallouët, Jean-Claude Latché, Nicolas Therme
Consistent Internal Energy Based Schemes for the Compressible Euler Equations. CoRR (2019)
Raphaèle Herbin, Jean-Claude Latché, Sébastian Minjeaud, Nicolas Therme
Conservativity And Weak Consistency Of A Class Of Staggered Finite Volume Methods For The Euler Equations. CoRR (2019)
Raphaèle Herbin, Jean-Claude Latché, Youssouf Nasseri, Nicolas Therme
A decoupled staggered scheme for the shallow water equations. CoRR (2019)
Thierry Gallouët, Raphaèle Herbin, Jean-Claude Latché
On The Weak Consistency of Finite Volumes Schemes for Conservation Laws on General Meshes. CoRR (2019)
Thierry Gallouët, Raphaèle Herbin, Jean-Claude Latché, K. Mallem
Convergence of the Marker-and-Cell Scheme for the Incompressible Navier-Stokes Equations on Non-uniform Grids. Found. Comput. Math. 18 (1) (2018)
Thierry Gallouët, Raphaèle Herbin, Jean-Claude Latché, David Maltese
Convergence of the MAC scheme for the compressible stationary Navier-Stokes equations. Math. Comput. 87 (311) (2018)
Raphaèle Herbin, Jean-Claude Latché
A Class of Staggered Schemes for the Compressible Euler Equations. NMA (2018)
Thierry Gallouët, Raphaèle Herbin, David Maltese, Antonín Novotný
Convergence of the marker-and-cell scheme for the semi-stationary compressible Stokes problem. Math. Comput. Simul. 137 (2017)
Robert Eymard, Thierry Gallouët, Raphaèle Herbin
mixed finite elements for some nonlinear problems. Math. Comput. Simul. 118 (2015)
Damien Fournier, Raphaèle Herbin, R. Le Tellier
Discontinuous Galerkin Discretization and hp-Refinement for the Resolution of the Neutron Transport Equation. SIAM J. Sci. Comput. 35 (2) (2013)
Robert Eymard, Thierry Gallouët, Raphaèle Herbin, Alexander Linke
Finite volume schemes for the biharmonic problem on general meshes. Math. Comput. 81 (280) (2012)
Robert Eymard, Raphaèle Herbin, M. Rhoudaf
Approximation of the biharmonic problem using P1 finite elements. J. Num. Math. 19 (1) (2011)
Raphaèle Herbin, Ludovic Leclercq
"A Note on the Entropy Solutions of the Hydrodynamic Model of Traffic Flow" Revisited. Transp. Sci. 45 (1) (2011)
Robert Eymard, Thierry Gallouët, Raphaèle Herbin, Jean-Claude Latché
Convergence of the MAC Scheme for the Compressible Stokes Equations. SIAM J. Numer. Anal. 48 (6) (2010)
Robert Eymard, Thierry Gallouët, Raphaèle Herbin
Finite volume method. Scholarpedia 5 (6) (2010)
Robert Eymard, Thierry Gallouët, Raphaèle Herbin, Jean-Claude Latché
A convergent finite element-finite volume scheme for the compressible Stokes problem. Part II: the isentropic case. Math. Comput. 79 (270) (2010)
Eric Chénier, Robert Eymard, Raphaèle Herbin
A collocated finite volume scheme to solve free convection for general non-conforming grids. J. Comput. Phys. 228 (6) (2009)
Robert Eymard, Thierry Gallouët, Raphaèle Herbin
Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids. J. Num. Math. 17 (3) (2009)
Thierry Gallouët, Raphaèle Herbin, Jean-Claude Latché
A convergent finite element-finite volume scheme for the compressible Stokes problem. Part I: The isothermal case. Math. Comput. 78 (267) (2009)
Robert Eymard, Raphaèle Herbin, Jean-Claude Latché
Convergence Analysis of a Colocated Finite Volume Scheme for the Incompressible Navier-Stokes Equations on General 2D or 3D Meshes. SIAM J. Numer. Anal. 45 (1) (2007)
Abdallah Bradji, Raphaèle Herbin
On the Discretization of the Coupled Heat and Electrical Diffusion Problems. Numerical Methods and Applications (2006)
Jérôme Droniou, Thierry Gallouët, Raphaèle Herbin
A Finite Volume Scheme for a Noncoercive Elliptic Equation with Measure Data. SIAM J. Numer. Anal. 41 (6) (2003)
Raphaèle Herbin
A Monotonic Method for the Numerical Solution of Some Free Boundary Value Problems. SIAM J. Numer. Anal. 40 (6) (2002)
Robert Eymard, Thierry Gallouët, Raphaèle Herbin, Anthony Michel
Convergence of a finite volume scheme for nonlinear degenerate parabolic equations. Numerische Mathematik 92 (1) (2002)
Thierry Gallouët, Raphaèle Herbin, Marie Hélène Vignal
Error Estimates on the Approximate Finite Volume Solution of Convection Diffusion Equations with General Boundary Conditions. SIAM J. Numer. Anal. 37 (6) (2000)
Robert Eymard, Thierry Gallouët, Raphaèle Herbin
Convergence of finite volume schemes for semilinear convection diffusion equations. Numerische Mathematik 82 (1) (1999)