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A Posteriori Local Subcell Correction of High-Order Discontinuous Galerkin Scheme for Conservation Laws on Two-Dimensional Unstructured Grids

 François Vilar , Rémi Abgrall
SIAM Journal on Scientific Computing, 2024, 46 (2), pp.A851-A883. ⟨10.1137/22M1542696⟩
Article dans une revue hal-04556790v1
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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
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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
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A robust DG-ALE formulation for nonlinear shallow-water interactions with a floating object

 Ali Haidar , Fabien Marche , Francois Vilar
2023
Pré-publication, Document de travail hal-04212489v1
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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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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 Posteriori Correction of High-Order Discontinuous Galerkin Scheme through Subcell Finite Volume Formulation and Flux Reconstruction

 François Vilar
Journal of Computational Physics, 2019, 387, pp.245-279. ⟨10.1016/j.jcp.2018.10.050⟩
Article dans une revue hal-01847660v1
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A robust DG-ALE formulation for nonlinear shallow water interactions with a partially immersed object

 Ali Haidar , Fabien Marche , Francois Vilar
2022
Pré-publication, Document de travail hal-03764650v1
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A posteriori Finite-Volume local subcell correction of high-order discontinuous Galerkin schemes for the nonlinear shallow-water equations

 Ali Haidar , Fabien Marche , François Vilar
Journal of Computational Physics, 2022, 452, pp.110902. ⟨10.1016/j.jcp.2021.110902⟩
Article dans une revue hal-03549725v1
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Cell-centered discontinuous Galerkin discretization for two-dimensional Lagrangian hydrodynamics

 François Vilar
Computers and Fluids, 2012, http://www.sciencedirect.com/science/article/pii/S0045793012001685. ⟨10.1016/j.compfluid.2012.05.001⟩
Article dans une revue hal-01093675v1
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A POSTERIORI LOCAL SUBCELL CORRECTION OF HIGH-ORDER DISCONTINUOUS GALERKIN SCHEME FOR CONSERVATION LAWS ON TWO-DIMENSIONAL UNSTRUCTURED GRIDS

 François Vilar , Remi Abgrall
2022
Pré-publication, Document de travail hal-03910148v1
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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
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A high-order Discontinuous Galerkin discretization for solving two-dimensional Lagrangian hydrodynamics

 François Vilar
Numerical Analysis [math.NA]. Université Sciences et Technologies - Bordeaux I, 2012. English. ⟨NNT : ⟩
Thèse tel-00765575v1
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Development and stability analysis of the inverse Lax-Wendroff boundary treatment for central compact schemes

 François Vilar , Chi-Wang Shu
ESAIM: Mathematical Modelling and Numerical Analysis, 2014, pp.Published online. ⟨10.1051/m2an/2014024⟩
Article dans une revue istex hal-01093678v1
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