Publications HAL

2023/02 – A MUSCL-like finite volumes approximation of the momentum convection operator for low-order nonconforming face-centred discretizations

2022/07 – CONVERGENCE OF THE FULLY DISCRETE INCREMENTAL PROJECTION SCHEME FOR INCOMPRESSIBLE FLOWS

2021/08 – Convergence of the implicit MAC scheme of the incompressible Navier-Stokes equations with variable density and viscosity

2021/01 – Non-conforming finite elements on polytopal meshes

2021/01 – Consistent Internal Energy Based Schemes for the Compressible Euler Equations

2020/01 IMA Journal of Numerical Analysis – A cell-centered pressure-correction scheme for the compressible Euler equations

2018/09 – A DECOUPLED STAGGERED SCHEME FOR THE SHALLOW WATER 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 Mathematics of Computation – Convergence of the MAC scheme for the compressible stationary Navier-Stokes equations

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

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

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

2017/06 – Results with a Locally Refined MAC-Like Scheme – Benchmark Session

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 – An error estimate for the approximation of linear parabolic equations by the Gradient Discretization Method

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

2016/01 Computational & 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

2016/01 SMAI Journal of Computational Mathematics – An unconditionally stable staggered pressure correction scheme for the compressible Navier-Stokes 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 SIAM Journal on Scientific Computing – DISCONTINUOUS GALERKIN DISCRETIZATION AND HP-REFINEMENT FOR THE RESOLUTION OF THE NEUTRON TRANSPORT EQUATION

2013/01 – MESURE, INTEGRATION, PROBABILITES

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, intégration, probabilités

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

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 ESAIM: Proceedings – Vertex centred Discretization of Two-Phase Darcy flows on General Meshes

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

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

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

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 ESAIM: Proceedings – STAGGERED SCHEMES FOR ALL SPEED FLOWS

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

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 unconditionnally stable pressure correction scheme for compressible barotropic Navier-Stokes equations

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

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

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

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

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

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

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

2009/01 Journal of Numerical Mathematics – Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral 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 ESAIM: Mathematical Modelling and Numerical Analysis – Convergence analysis of a locally stabilized collocated finite volume scheme for incompressible flows

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

2007/12 Calcolo – On the stability of colocated clustered finite volume simplicial discretizations for the 2D Stokes problem

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

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 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

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

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

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

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

2000/01 – Finite Volume Methods

1991/10 Matapli – Des mathématiciens découvrent les volumes finis