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François Vilar
ORCID
Publication Activity (10 Years)
Years Active: 2014-2024
Publications (10 Years): 8
Top Topics
Lower Order
Partial Differential Equations
Top Venues
J. Comput. Phys.
CoRR
SIAM J. Sci. Comput.
J. Sci. Comput.
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Publications
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François Vilar
Local subcell monolithic DG/FV convex property preserving scheme on unstructured grids and entropy consideration.
CoRR
(2024)
François Vilar
,
Rémi Abgrall
A Posteriori Local Subcell Correction of High-Order Discontinuous Galerkin Scheme for Conservation Laws on Two-Dimensional Unstructured Grids.
SIAM J. Sci. Comput.
46 (2) (2024)
Ali Haidar
,
Fabien Marche
,
François Vilar
Free-Boundary Problems for Wave-Structure Interactions in Shallow-Water: DG-ALE Description and Local Subcell Correction.
J. Sci. Comput.
98 (2) (2024)
François Vilar
,
Rémi Abgrall
\textit{A Posteriori} local subcell correction of high-order discontinuous Galerkin scheme for conservation laws on two-dimensional unstructured grids.
CoRR
(2022)
Ali Haidar
,
Fabien Marche
,
François Vilar
Finite-Volume local subcell correction of high-order discontinuous Galerkin schemes for the nonlinear shallow-water equations.
J. Comput. Phys.
452 (2022)
François Vilar
correction of high-order discontinuous Galerkin scheme through subcell finite volume formulation and flux reconstruction.
J. Comput. Phys.
387 (2019)
François Vilar
,
Chi-Wang Shu
,
Pierre-Henri Maire
Positivity-preserving cell-centered Lagrangian schemes for multi-material compressible flows: From first-order to high-orders. Part I: The one-dimensional case.
J. Comput. Phys.
312 (2016)
François Vilar
,
Chi-Wang Shu
,
Pierre-Henri Maire
Positivity-preserving cell-centered Lagrangian schemes for multi-material compressible flows: From first-order to high-orders. Part II: The two-dimensional case.
J. Comput. Phys.
312 (2016)
François Vilar
,
Pierre-Henri Maire
,
Rémi Abgrall
A discontinuous Galerkin discretization for solving the two-dimensional gas dynamics equations written under total Lagrangian formulation on general unstructured grids.
J. Comput. Phys.
276 (2014)