Raphaèle Herbin

According to our database1, Raphaèle Herbin authored at least 41 papers between 1999 and 2023.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of five.

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Bibliography

2023
Convergence of the MAC scheme for the incompressible Navier-Stokes equations with variable density and viscosity.
Math. Comput., February, 2023

Optimal error estimates for non-conforming approximations of linear parabolic problems with minimal regularity.
CoRR, 2023

A MUSCL-like finite volumes approximation of the momentum convection operator for low-order nonconforming face-centred discretizations.
CoRR, 2023

2022
A staggered scheme for the compressible Euler equations on general 3D meshes.
CoRR, 2022

Convergence of the fully discrete incremental projection scheme for incompressible flows.
CoRR, 2022

2021
Low Mach number limit of some staggered schemes for compressible barotropic flows.
Math. Comput., 2021

Conservativity and weak consistency of a class of staggered finite volume methods for the Euler equations.
Math. Comput., 2021

A Consistent Quasi-Second Order Staggered Scheme for the Two-Dimensional Shallow Water Equations.
CoRR, 2021

Convergence of the implicit MAC-discretized Navier-Stokes equations with variable density and viscosity on non-uniform grids.
CoRR, 2021

Finite volume schemes and Lax-Wendroff consistency.
CoRR, 2021

Weak Consistency of Finite Volume Schemes for Systems of Non Linear Conservation Laws: Extension to Staggered Schemes.
CoRR, 2021

Modelling of a spherical deflagration at constant speed.
Comput. Appl. Math., 2021

2020
A staggered pressure correction numerical scheme to compute a travelling reactive interface in a partially premixed mixture.
CoRR, 2020

Non-conforming finite elements on polytopal meshes.
CoRR, 2020

A Class of Collocated Finite Volume Schemes for Incompressible Flow Problems.
CoRR, 2020

The Gradient Discretisation Method for Linear Advection Problems.
Comput. Methods Appl. Math., 2020

2019
Consistent Internal Energy Based Schemes for the Compressible Euler Equations.
CoRR, 2019

A decoupled staggered scheme for the shallow water equations.
CoRR, 2019

On The Weak Consistency of Finite Volumes Schemes for Conservation Laws on General Meshes.
CoRR, 2019

2018
Convergence of the MAC scheme for the compressible stationary Navier-Stokes equations.
Math. Comput., 2018

Convergence of the Marker-and-Cell Scheme for the Incompressible Navier-Stokes Equations on Non-uniform Grids.
Found. Comput. Math., 2018

A Class of Staggered Schemes for the Compressible Euler Equations.
Proceedings of the Numerical Methods and Applications - 9th International Conference, 2018

2017
Convergence of the marker-and-cell scheme for the semi-stationary compressible Stokes problem.
Math. Comput. Simul., 2017

2015
RT<sub>k</sub> mixed finite elements for some nonlinear problems.
Math. Comput. Simul., 2015

2013
Discontinuous Galerkin Discretization and hp-Refinement for the Resolution of the Neutron Transport Equation.
SIAM J. Sci. Comput., 2013

2012
Finite volume schemes for the biharmonic problem on general meshes.
Math. Comput., 2012

2011
"A Note on the Entropy Solutions of the Hydrodynamic Model of Traffic Flow" Revisited.
Transp. Sci., 2011

Approximation of the biharmonic problem using P1 finite elements.
J. Num. Math., 2011

2010
Convergence of the MAC Scheme for the Compressible Stokes Equations.
SIAM J. Numer. Anal., 2010

Finite volume method.
Scholarpedia, 2010

A convergent finite element-finite volume scheme for the compressible Stokes problem. Part II: the isentropic case.
Math. Comput., 2010

2009
A convergent finite element-finite volume scheme for the compressible Stokes problem. Part I: The isothermal case.
Math. Comput., 2009

Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids.
J. Num. Math., 2009

A collocated finite volume scheme to solve free convection for general non-conforming grids.
J. Comput. Phys., 2009

2007
Convergence Analysis of a Colocated Finite Volume Scheme for the Incompressible Navier-Stokes Equations on General 2D or 3D Meshes.
SIAM J. Numer. Anal., 2007

2006
On the Discretization of the Coupled Heat and Electrical Diffusion Problems.
Proceedings of the Numerical Methods and Applications, 6th International Conference, 2006

2003
A Finite Volume Scheme for a Noncoercive Elliptic Equation with Measure Data.
SIAM J. Numer. Anal., 2003

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

Convergence of a finite volume scheme for nonlinear degenerate parabolic equations.
Numerische Mathematik, 2002

2000
Error Estimates on the Approximate Finite Volume Solution of Convection Diffusion Equations with General Boundary Conditions.
SIAM J. Numer. Anal., 2000

1999
Convergence of finite volume schemes for semilinear convection diffusion equations.
Numerische Mathematik, 1999


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