A transport simulation code for inertial confinement fusion relevant laser-plasma interaction. - S. Weber; Pierre-Henri Maire; Raphaël Loubère; G. Riazuelo; Pierre Michel; Vladimir Tikhonchuk; Jean Ovadia (Comput. Phys. Commun., 2005)

A cell-centered diffusion scheme on two-dimensional unstructured meshes. - Jérôme Breil; Pierre-Henri Maire (J. Comput. Phys., 2007)

A Cell-Centered Lagrangian Scheme for Two-Dimensional Compressible Flow Problems. - Pierre-Henri Maire; Rémi Abgrall; Jérôme Breil; Jean Ovadia (SIAM J. Sci. Comput., 2007)

A high-order cell-centered Lagrangian scheme for two-dimensional compressible fluid flows on unstructured meshes. - Pierre-Henri Maire (J. Comput. Phys., 2009)

A high-order cell-centered Lagrangian scheme for compressible fluid flows in two-dimensional cylindrical geometry. - Pierre-Henri Maire (J. Comput. Phys., 2009)

Multi-scale Godunov-type method for cell-centered discrete Lagrangian hydrodynamics. - Pierre-Henri Maire; Boniface Nkonga (J. Comput. Phys., 2009)

A two-dimensional unstructured cell-centered multi-material ALE scheme using VOF interface reconstruction. - Stéphane Galera; Pierre-Henri Maire; Jérôme Breil (J. Comput. Phys., 2010)

ReALE: A reconnection-based arbitrary-Lagrangian-Eulerian method. - Raphaël Loubère; Pierre-Henri Maire; Mikhail Yu. Shashkov; Jérôme Breil; Stéphane Galera (J. Comput. Phys., 2010)

2nd workshop on new trends in numerical methods for multi-material compressible fluid flows. - Raphaël Loubère; Pierre-Henri Maire; Mikhail Yu. Shashkov (ICCS, 2010)

A second-order compatible staggered Lagrangian hydrodynamics scheme using a cell-centered multidimensional approximate Riemann solver. - Raphaël Loubère; Pierre-Henri Maire; Pavel Váchal (ICCS, 2010)

A sub-cell force-based framework to derive cell-centered Lagrangian schemes on two-dimensional polygonal grids. - Pierre-Henri Maire (ICCS, 2010)

Two-step hybrid conservative remapping for multimaterial arbitrary Lagrangian-Eulerian methods. - Markus Berndt; Jérôme Breil; Stéphane Galera; Milan Kucharik; Pierre-Henri Maire; Mikhail J. Shashkov (J. Comput. Phys., 2011)

A nominally second-order accurate finite volume cell-centered scheme for anisotropic diffusion on two-dimensional unstructured grids. - Pierre-Henri Maire; Jérôme Breil (J. Comput. Phys., 2012)

A nominally second-order cell-centered Lagrangian scheme for simulating elastic-plastic flows on two-dimensional unstructured grids. - Pierre-Henri Maire; Rémi Abgrall; Jérôme Breil; Raphaël Loubère; Bernard Rebourcet (J. Comput. Phys., 2013)

A discontinuous Galerkin discretization for solving the two-dimensional gas dynamics equations written under total Lagrangian formulation on general unstructured grids. - François Vilar; Pierre-Henri Maire; Rémi Abgrall (J. Comput. Phys., 2014)

Arbitrary Lagrangian-Eulerian methods for modeling high-speed compressible multimaterial flows. - Andrew Barlow; Pierre-Henri Maire; William J. Rider; Robert N. Rieben; Mikhail J. Shashkov (J. Comput. Phys., 2016)

A 3D GCL compatible cell-centered Lagrangian scheme for solving gas dynamics equations. - Gabriel Georges; Jérôme Breil; Pierre-Henri Maire (J. Comput. Phys., 2016)

Positivity-preserving cell-centered Lagrangian schemes for multi-material compressible flows: From first-order to high-orders. Part I: The one-dimensional case. - François Vilar; Chi-Wang Shu; Pierre-Henri Maire (J. Comput. Phys., 2016)

Positivity-preserving cell-centered Lagrangian schemes for multi-material compressible flows: From first-order to high-orders. Part II: The two-dimensional case. - François Vilar; Chi-Wang Shu; Pierre-Henri Maire (J. Comput. Phys., 2016)

A second-order cell-centered Lagrangian ADER-MOOD finite volume scheme on multidimensional unstructured meshes for hydrodynamics. - Walter Boscheri; Michael Dumbser; Raphaël Loubère; Pierre-Henri Maire (J. Comput. Phys., 2018)

Second-order extension in space and time for a 3D cell-centered Lagrangian scheme. - Jérôme Breil; Gabriel Georges; Pierre-Henri Maire (Comput. Math. Appl., 2019)

Weak Consistency of a Staggered Finite Volume Scheme for Lagrangian Hydrodynamics. - Pierre-Henri Maire; N. Therme (SIAM J. Numer. Anal., 2020)

A cell-centered Lagrangian ADER-MOOD finite volume scheme on unstructured meshes for a class of hyper-elasticity models. - Walter Boscheri; Raphaël Loubère; Pierre-Henri Maire (CoRR, 2021)

A 3D cell-centered ADER MOOD Finite Volume method for solving updated Lagrangian hyperelasticity on unstructured grids. - Walter Boscheri; Raphaël Loubère; Pierre-Henri Maire (J. Comput. Phys., 2022)

Entropy stable and positivity preserving Godunov-type schemes for multidimensional hyperbolic systems on unstructured grid. - Gérard Gallice; Agnes Chan; Raphaël Loubère; Pierre-Henri Maire (J. Comput. Phys., 2022)

A geometrically and thermodynamically compatible finite volume scheme for continuum mechanics on unstructured polygonal meshes. - Walter Boscheri; Raphaël Loubère; Jean-Philippe Braeunig; Pierre-Henri Maire (J. Comput. Phys., 2024)

A well-balanced, positive, entropy-stable, and multi-dimensional-aware finite volume scheme for 2D shallow-water equations with unstructured grids. - Alessia Del Grosso; Manuel J. Castro; Agnes Chan; Gérard Gallice; Raphaël Loubère; Pierre-Henri Maire (J. Comput. Phys., 2024)

A node-conservative vorticity preserving finite volume method for linear acoustics on unstructured grids. - Wasilij Barsukow; Raphaël Loubère; Pierre-Henri Maire (Math. Comput., 2024)

A New Thermodynamically Compatible Finite Volume Scheme for Lagrangian Gas Dynamics. - Walter Boscheri; Michael Dumbser; Pierre-Henri Maire (SIAM J. Sci. Comput., 2024)

Preface for the special issue in memory of Sergei Godunov (17/07/1929 - 15/07/2023). - Rémi Abgrall; Michael Dumbser; Pierre-Henri Maire; Ilya Peshkov; Evgeniy I. Romenski (J. Comput. Phys., 2025)

A node conservative cell-centered finite volume method for solving multidimensional Euler equations over general unstructured grids. - Vincent Delmas; Raphaël Loubère; Pierre-Henri Maire (J. Comput. Phys., 2025)

A simple and general framework for the construction of exactly div-curl-grad compatible discontinuous Galerkin finite element schemes on unstructured simplex meshes. - Rémi Abgrall; Michael Dumbser; Pierre-Henri Maire (CoRR, 2025)

A structure-preserving and thermodynamically compatible cell-centered Lagrangian finite volume scheme for continuum mechanics. - Walter Boscheri; Michael Dumbser; Raphaël Loubère; Pierre-Henri Maire (CoRR, 2025)