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A high-order cell-centered finite volume scheme for simulating three dimensional anisotropic diffusion equations on unstructured grids

Pascal Jacq , P.H. Maire , Remi Abgrall
2013
Pré-publication, Document de travail hal-00835537v1

Ejection of spalled layers from laser shock-loaded metals

E. Lescoute , T. de Resseguier , J.-M. Chevalier , D. Loison , J.P. Cuq-Lelandais , et al.
Journal of Applied Physics, 2010, 108 (9), pp.093510. ⟨10.1063/1.3500317⟩
Article dans une revue hal-01136321v1
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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 , P.H. Maire
Journal of Computational Physics, 2016, 312, pp.385 - 415. ⟨10.1016/j.jcp.2016.02.027⟩
Article dans une revue hal-01248910v1
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Positivity-preserving cell-centered Lagrangian schemes for multi-material compressible flows: From first-order to high-orders

François Vilar , Chi-Wang Shu , P.H. Maire
2015
Pré-publication, Document de travail hal-01199605v1
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Coupling two cell-centered finite volume schemes for solving anisotropic diffusion and fluid dynamics on unstructured moving meshes

Pascal Jacq , P.H. Maire , Jean Claudel , Remi Abgrall
2nd ECCOMAS Young Investigators Conference (YIC 2013), Sep 2013, Bordeaux, France
Communication dans un congrès hal-00855868v1
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Cell-centered discontinuous Galerkin discretizations for two-dimensional scalar conservation laws on unstructured grids and for the one-dimensional Lagrangian hydrodynamics

François Vilar , P.H. Maire , Remi Abgrall
Computers and Fluids, 2010, pp.Article in Press. ⟨10.1016/j.compfluid.2010.07.018⟩
Article dans une revue inria-00538165v1
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A total Lagrangian discontinuous Galerkin discretization of the two-dimensional gas dynamics equations

François Vilar , P.H. Maire , Remi Abgrall
2014
Pré-publication, Document de travail hal-00947367v1
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A high-order cell-centered Lagrangian scheme for compressible fluid flows in two-dimensional cylindrical geometry

P.H. Maire
Journal of Computational Physics, 2009, 228, pp.6882-6915. ⟨10.1016/j.jcp.2009.06.018⟩
Article dans une revue inria-00372105v1
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Entropy stable and positivity preserving Godunov-type schemes for multidimensional hyperbolic systems on unstructured grid

Gérard Gallice , Agnes Chan , Raphaël Loubère , Pierre-Henri Maire
Journal of Computational Physics, 2021, 468, pp.111493. ⟨10.1016/j.jcp.2022.111493⟩
Article dans une revue hal-03787929v1
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A high-order finite volume cell-centered scheme for anisotropic diffusion on two-dimensional unstructured grids

P.H. Maire , Jérôme Breil
2011
Pré-publication, Document de travail hal-00605548v1
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A Cell-Centered Lagrangian Scheme for Two-Dimensional Compressible Flow Problems

Rémi Abgrall , Jérôme Breil , P.H. Maire , Jean Ovadia
SIAM Journal on Scientific Computing, 2007, A Cell-Centered Lagrangian Scheme for Two-Dimensional Compressible Flow Problems, 29 (4), pp.1781-1824. ⟨10.1137/050633019⟩
Article dans une revue inria-00113542v1
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A discontinuous Galerkin discretization for solving the two-dimensional gas dynamics equations written under total Lagrangian formulation on general unstructured grids

François Vilar , P.H. Maire , Rémi Abgrall
Journal of Computational Physics, 2014, 276, pp.188 - 234. ⟨10.1016/j.jcp.2014.07.030⟩
Article dans une revue hal-01093676v1

2nd Workshop on new trends in numerical methods for multi-material compressible fluid flows

Raphaël Loubère , P.H. Maire , M. Shashkov
ICCS 2010 2nd Workshop on New Trends in Numerical Methods for Multi-Material Compressible Fluid Flow, 2010, United States. p. 1883-1884, ⟨10.1016/j.procs.2010.04.210⟩
Communication dans un congrès hal-00986455v1
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Contribution to the numerical modeling of Inertial Confinement Fusion

P.H. Maire
Mathematics [math]. Université Bordeaux I, 2011
HDR tel-00589758v1
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Un schéma centré pour l'hydrodynamique Lagrange bidimensionnelle

Rémi Abgrall , Jérôme Breil , P.H. Maire , Jean Ovadia
2016
Pré-publication, Document de travail hal-01278264v1
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A discontinuous Galerkin discretization for solving the two-dimensional gas dynamics equations written under total Lagrangian formulation on general unstructured grids

François Vilar , P.H. Maire , Remi Abgrall
[Research Report] RR-8483, INRIA. 2014
Rapport hal-00950782v1

Comparison of staggered and cell-centered Lagrangian and ALE hydrodynamical methods

Richard Liska , Raphaël Loubère , P.H. Maire , Jérôme Breil , Stéphane Galera , et al.
Hyperbolic problems: theory, numerics and applications, American Mathematical Society, pp.755-764, 2009, Proc. Sympos. Appl. Math., vol. 67, Part 2
Chapitre d'ouvrage hal-00628707v1

A second-order compatible staggered Lagrangian ydrodynamics scheme using a cell-centered multidimensional approximate Riemann solver

Raphaël Loubère , P.H. Maire , Pavel Vachal
Procedia Computer Science, 2010, 1 (1), pp.1931-1939. ⟨10.1016/j.procs.2010.04.216⟩
Article dans une revue hal-00658530v1

SOME ACOUSTIC-TRANSPORT SPLITTING SCHEMES FOR TWO-PHASE COMPRESSIBLE FLOWS

Simon Peluchon , Gerard Gallice , P.H. Maire
ECCOMAS Congress 2016, Jun 2016, Hersonissos (Crete), Greece
Communication dans un congrès hal-01448467v1

An Unconventional Divergence Preserving Finite-Volume Discretization of Lagrangian Ideal MHD

Walter Boscheri , Raphaël Loubère , Pierre-Henri Maire
Communications on Applied Mathematics and Computation, In press, ⟨10.1007/s42967-023-00309-2⟩
Article dans une revue hal-04272187v1

A Lagrangian scheme for multidimensional compressible flow problems.

P.H. Maire , Remi Abgrall , J. Breil , J. Ovadia
SIAM Journal on Scientific Computing, 2007, 29
Article dans une revue inria-00403699v1
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A high-order cell-centered Lagrangian scheme for two-dimensional compressible fluid flows on unstructured meshes

P.H. Maire
Journal of Computational Physics, 2009, 228, pp.2391-2425. ⟨10.1016/j.jcp.2008.12.007⟩
Article dans une revue inria-00322369v1
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Multi-scale Godunov-type method for cell-centered discrete Lagrangian hydrodynamics.

P.H. Maire , Boniface Nkonga
Journal of Computational Physics, 2009, Volume 228 (Issue 3, 20 February 2009), pp.Pages 799-821. ⟨10.1016/j.jcp.2008.10.012⟩
Article dans une revue inria-00290717v1

ReALE: A reconnection-based arbitrary-Lagrangian-Eulerian method

Raphaël Loubère , P.H. Maire , Mikhail Shashkov , Jérôme Breil , Stéphane Galera
Journal of Computational Physics, 2010, 229 (12), pp.4724-4761. ⟨10.1016/j.jcp.2010.03.011⟩
Article dans une revue hal-00658561v1

A second-order cell-centered Lagrangian ADER-MOOD finite volume scheme on multidimensional unstructured meshes for hydrodynamics

Walter Boscheri , Michael Dumbser , Raphael Loubere , P.H. Maire
Journal of Computational Physics, 2018, 358, pp.103-129. ⟨10.1016/j.jcp.2017.12.040⟩
Article dans une revue hal-02322080v1
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A nominally second-order cell-centered Lagrangian scheme for simulating elastic-plastic flows on two-dimensional unstructured grids

P.H. Maire , Remi Abgrall , Jérôme Breil , Raphaël Loubère , Bernard Rebourcet
[Research Report] RR-7975, INRIA. 2012, pp.76
Rapport hal-00701802v1

ReALE: A Reconnection Arbitrary-Lagrangian-Eulerian method in cylindrical geometry

Raphaël Loubère , P.H. Maire , M. Shashkov
Computers and Fluids, 2011, 46 (1), pp.59-69. ⟨10.1016/j.compfluid.2010.08.024⟩
Article dans une revue hal-00658522v1

Staggered Lagrangian discretization based on cell-centered Riemann solver and associated hydro-dynamics scheme

P.H. Maire , Raphaël Loubère , Pavel Vachal
Communications in Computational Physics, 2011, 10 (4), pp.940-978. ⟨10.4208/cicp.170310.251110a⟩
Article dans une revue hal-00656433v1

An Unconventional Divergence Preserving Finite-Volume Discretization of Lagrangian Ideal MHD

Walter Boscheri , Raphaël Loubère , Pierre-Henri Maire
Communications on Applied Mathematics and Computation, 2023, ⟨10.1007/s42967-023-00309-2⟩
Article dans une revue hal-04526372v1
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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 , P.H. Maire
Journal of Computational Physics, 2016, 312, pp.416 - 442. ⟨10.1016/j.jcp.2016.01.037⟩
Article dans une revue hal-01248913v1