Utilisateur·rice

Raphaele • HERBIN
Professeure (PR) • Affiliation : Aix-Marseille Université (AMU)
Site : Château-Gombert (CMI) • Office : R 213 • Office Floor : 2 •

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User group(s) :

Research keywords :
    Convergence analysis Compressible flows Analysis Finite volume methods Error estimate 65N12 76N10

User Thematic(s) :
  • Numerical analysis and scientific calculation
  • Elliptic PDE
  • Hyperbolic PDE
  • Fluid mechanics

Publications HAL

2020/07 - Non-conforming finite elements on polytopal meshes

2020/03 - A DECOUPLED STAGGERED SCHEME FOR THE SHALLOW WATER EQUATIONS

2019/03 - A cell-centered pressure-correction scheme for the compressible Euler equations

2018/08 - The gradient discretisation method

2018/02 Foundations of Computational Mathematics - Convergence of the MAC scheme for the incompressible Navier-Stokes equations

2018/01 - A class of staggered schemes for the compressible Euler equations

2018/01 ESAIM: Mathematical Modelling and Numerical Analysis - Consistent segregated staggered schemes with explicit steps for the isentropic and full Euler equations

2017/07 - Entropy estimates for a class of schemes for the euler equations

2017/06 - Low Mach number limit of a pressure correction MAC scheme for compressible barotropic flows

2017/06 - TWO MODELS FOR THE COMPUTATION OF LAMINAR FLAMES IN DUST CLOUDS

2017/06 - Convergence of the mac scheme for variable density flows

2017/02 - Implicit MAC scheme for compressible Navier-Stokes equations: Low Mach asymptotic error estimates

2017/01 - Implicit MAC scheme for compressible Navier-Stokes equations: Unconditional error estimates

2017/01 Mathematics and Computers in Simulation - Convergence of the marker-and-cell scheme for the semi-stationary compressible Stokes problem

2017/01 - An error estimate for the approximation of linear parabolic equations by the Gradient Discretization Method

2016/01 Computational and Applied Mathematics - Analysis of a fractional-step scheme for the P1 radiative diffusion model

2016/01 IMA Journal of Numerical Analysis - Error estimates for a numerical approximation to the compressible barotropic Navier-Stokes equations

2016/01 ESAIM: Mathematical Modelling and Numerical Analysis - Gradient schemes: generic tools for the numerical analysis of diffusion equations

2015/09 - Equations aux dérivées partielles

2015/03 Applications of Mathematics - Applications of approximate gradient schemes for nonlinear parabolic equations

2014/08 Computational Geosciences - TP or not TP, that is the question

2014/02 Calcolo - An extension of the MAC scheme to locally refined meshes : convergence analysis for the full tensor time-dependent Navier-Stokes equations

2014/01 ESAIM: Mathematical Modelling and Numerical Analysis - On some implicit and semi-implicit staggered schemes for the shallow water and Euler equations

2013/08 Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik - Gradient schemes for two-phase flow in heterogeneous porous media and Richards equation

2013/06 International Journal on Finite Volumes - Gradient schemes for the Stefan problem

2013/05 - Consistent explicit staggered schemes for compressible flows Part II: the Euler equation

2013/05 - Consistent explicit staggered schemes for compressible flows Part I: the barotropic Euler equations.

2013/03 International Journal for Numerical Methods in Fluids - A formally second order cell centered scheme for convection-diffusion equations on unstructured non-conforming grids

2013/01 Mathematical Models and Methods in Applied Sciences - Gradient schemes: a generic framework for the discretisation of linear, nonlinear and nonlocal elliptic and parabolic equations

2013/01 - MESURE, INTEGRATION, PROBABILITES

2013/01 Computers and Fluids - Pressure correction staggered schemes for barotropic one-phase and two-phase flows

2013/01 - Mesure, intégration, probabilités

2013/01 SIAM Journal on Scientific Computing - DISCONTINUOUS GALERKIN DISCRETIZATION AND HP-REFINEMENT FOR THE RESOLUTION OF THE NEUTRON TRANSPORT EQUATION

2012/09 - Vertex-centred Discretization of Multiphase Compositional Darcy Flows on General Meshes

2012/09 Computational Geosciences - Vertex-centred discretization of multiphase compositional Darcy flows on general meshes

2012/02 Calcolo - W1,q stability of the Fortin operator for the MAC scheme

2012/01 - Consistent semi-implicit staggered schemes for compressible flows Part II: Euler equations.

2012/01 ESAIM: Proceedings - Vertex centred Discretization of Two-Phase Darcy flows on General Meshes

2012/01 ESAIM: Mathematical Modelling and Numerical Analysis - Small-stencil 3D schemes for diffusive flows in porous media

2012/01 Mathematics of Computation - Finite volume schemes for the biharmonic problem on general meshes

2011/10 - Analyse numérique des équations aux dérivées partielles

2011/06 - Multiphase Flow in Porous Media Using the VAG Scheme

2011/06 - Discretization of the viscous dissipation term with the MAC scheme

2011/06 - Staggered discretizations, pressure correction schemes and all speed barotropic flows

2011/06 - Playing with Burgers's equation

2011/05 Journal of Numerical Mathematics - Approximation of the biharmonic problem using P1 finite elements

2011/01 IMA Journal of Applied Mathematics - A discretization of phase mass balance in fractional step algorithms for the drift-flux model

2011/01 Transportation Science - A note on the Entropy Solutions of the Hydrodynamic Model of Traffic Flow" revisited

2011/01 ESAIM: Proceedings - STAGGERED SCHEMES FOR ALL SPEED FLOWS

2010/01 Comptes Rendus Mathématique - Approximation of the biharmonic problem using piecewise linear finite elements

2010/01 Math. Comp. - A convergent Finite Element-Finite Volume scheme for the compressible Stokes problem, Part II -- the isentropic case

2010/01 ESAIM: Mathematical Modelling and Numerical Analysis - An unconditionnally stable pressure correction scheme for compressible barotropic Navier-Stokes equations

2010/01 SIAM Journal on Numerical Analysis - Convergence of the MAC scheme for the compressible Stokes equations

2010/01 ESAIM: Mathematical Modelling and Numerical Analysis - An unconitionally stable finite-element/finite-volume pressure correction scheme for the drift-flux model

2010/01 IMA Journal of Numerical Analysis - Discretisation of heterogeneous and anisotropic diffusion problems on general non-conforming meshes. SUSHI: a scheme using stabilisation and hybrid interfaces

2010/01 International Journal on Finite Volumes - Kinetic energy control in the MAC discretization of compressible Navier-Stokes equations

2010/01 Mathematical Models and Methods in Applied Sciences - A unified approach to Mimetic Finite Difference, Hybrid Finite Volume and Mixed Finite Volume methods

2009/01 ESAIM: Mathematical Modelling and Numerical Analysis - Convergence analysis of a locally stabilized collocated finite volume scheme for incompressible flows

2009/01 Journal of Numerical Mathematics - Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids

2009/01 Journal of Computational Physics - A collocated finite volume scheme to solve free convection for general non-conforming grids

2009/01 Comptes rendus de l'Académie des sciences. Série I, Mathématique - A nine point finite volume scheme for the simulation of diffusion in heterogeneous media

2009/01 Mathematics of Computation - A convergent Finite Element-Finite Volume scheme for the compressible Stokes problem Part I -- the isothermal case

2008/06 - Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids

2008/01 IMA Journal of Numerical Analysis - Discretization of the coupled heat and electrical diffusion problems by the finite element and the finite volume methods

2007/03 - On colocated clustered finite volume schemes for incompressible flow problems

2007/03 - On the stability of colocated clustered finite volume simplicial discretizations for the 2D Stokes problem

2007/01 Comptes Rendus Mathématique - A new colocated finite volume scheme for the incompressible Navier-Stokes equations on general non matching grids

2007/01 SIAM Journal on Numerical Analysis - Convergence analysis of a colocated finite volume scheme for the incompressible Navier-Stokes equations on general 2 or 3D meshes

2007/01 ESAIM: Mathematical Modelling and Numerical Analysis - A fast precipitation and dissolution reaction for a reaction diffusion system arising in a porous medium

2006/09 - Cours d'analyse numérique 2004-2005

2006/01 IMA Journal of Numerical Analysis - A cell-centred finite volume approximation for second order partial derivative operators with full matrix on unstructured meshes in any space dimension

2006/01 ESAIM: Mathematical Modelling and Numerical Analysis - On a stabilized colocated Finite Volume scheme for the Stokes problem

2005/01 International Journal on Finite Volumes - A staggered finite volume scheme on general meshes for the Navier-Stokes equations in two space dimensions

2005/01 International Journal on Finite Volumes - A staggered finite volume scheme on general meshes for the generalized Stokes problem in two space dimensions AstaggeredschemefortheStokesequations

2005/01 International Journal on Finite Volumes - Axisymmetric finite volumes for the numerical simulation of bulk CO 2 transport and assimilation in a leaf

2005/01 - Development of numerical methods for the reactive transport of chemical species in a porous media : a nonlinear conjugate gradient method

2004/01 IMA Journal of Numerical Analysis - The Lions domain decomposition algorithm on non matching cell-centered finite volume meshes

2004/01 Comptes rendus de l'Académie des sciences. Série I, Mathématique - A finite volume scheme for anisotropic diffusion problems

2004/01 Comptes rendus de l'Académie des sciences. Série I, Mathématique - Convergence of linear finite elements for diffusion equations with measure data

2003/01 SIAM Journal on Numerical Analysis - A finite volume scheme for noncoercive elliptic equation with measure data

2000/01 - Finite Volume Methods


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