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A linear-time approximate convex envelope algorithm using the double Legendre--Fenchel transform with application to phase separation

 Lorenzo Contento , Alexandre Ern , Rossana Vermiglio
Computational Optimization and Applications, 2015, ⟨10.1007/s10589-014-9666-8⟩
Article dans une revue hal-00806597v2
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An adaptive stabilized conforming finite element method via residual minimization on dual discontinuous Galerkin norms

 Victor M Calo , Alexandre Ern , Ignacio Muga , Sergio Rojas
Computer Methods in Applied Mechanics and Engineering, 2020, ⟨10.1016/j.cma.2020.112891⟩
Article dans une revue hal-02196242v3
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Spectral correctness of the discontinuous Galerkin approximation of the first-order form of Maxwell's equations with discontinuous coefficients

 Alexandre Ern , Jean-Luc Guermond
2023
Pré-publication, Document de travail hal-04145808v2
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Spectral approximation of elliptic operators by the Hybrid High-Order method

 Victor M Calo , Matteo Cicuttin , Quanling Deng , Alexandre Ern
Mathematics of Computation, 2019, 88 (318), pp.1559-1586. ⟨10.1090/mcom/3405⟩
Article dans une revue hal-01628698v2
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Réduction de modèles pour les inéquations variationnelles

 Idrissa Niakh , Alexandre Ern , Virginie Ehrlacher , Guillaume Drouet
15e colloque national en calcul des structures, Université Polytechnique Hauts-de-France [UPHF], May 2022, Hyères-les-Palmiers, France
Communication dans un congrès hal-03717692v1
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Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection-diffusion-reaction problems

 Alexandre Ern , Annette Stephansen , Martin Vohralík
Journal of Computational and Applied Mathematics, 2009, 234 (1), pp.114-130. ⟨10.1016/j.cam.2009.12.009⟩
Article dans une revue hal-00193540v3
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A time semi-implicit scheme for the energy-balanced coupling of a shocked fluid flow with a deformable structure

 Maria Adela Puscas , Laurent Monasse , Alexandre Ern , Christian Tenaud , Christian Mariotti , et al.
Journal of Computational Physics, 2015, 296, pp.241-262. ⟨10.1016/j.jcp.2015.04.012⟩
Article dans une revue hal-00993324v3
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A converse to Fortin's Lemma in Banach spaces

 Alexandre Ern , Jean-Luc Guermond
Comptes Rendus. Mathématique, 2016, 354 (11), pp.1092-1095. ⟨10.1016/j.crma.2016.09.013⟩
Article dans une revue hal-01273901v2
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Numerical study of a thin liquid film flowing down an inclined wavy plane

 Alexandre Ern , Rémi Joubaud , Tony Lelièvre
Physica D: Nonlinear Phenomena, 2011, 240 (21), pp.1714-1723. ⟨10.1016/j.physd.2011.07.007⟩
Article dans une revue hal-00533000v2
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A discontinuous skeletal method for the viscosity-dependent Stokes problem

 Daniele Di Pietro , Alexandre Ern , Alexander Linke , Friedhelm Schieweck
Computer Methods in Applied Mechanics and Engineering, 2016, 306, pp.175-195. ⟨10.1016/j.cma.2016.03.033⟩
Article dans une revue hal-01244387v2
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$hp$-adaptation driven by polynomial-degree-robust a posteriori error estimates for elliptic problems

 Vít Dolejší , Alexandre Ern , Martin Vohralík
SIAM Journal on Scientific Computing, 2016, 38 (5), pp.A3220-A3246. ⟨10.1137/15M1026687⟩
Article dans une revue hal-01165187v3
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A low-complexity global optimization algorithm for temperature and pollution control in flames with complex chemistry

 L. Debiane , Benjamin Ivorra , Bijan Mohammadi , Franck Nicoud , Thierry Poinsot , et al.
International Journal of Computational Fluid Dynamics, 2006, 20 (2), pp.93-98. ⟨10.1080/10618560600771758⟩
Article dans une revue hal-00908273v1

A nonintrusive reduced basis method applied to aeroacoustic simulations

 Fabien Casenave , Alexandre Ern , Tony Lelièvre
Advances in Computational Mathematics, 2014, 41 (5), pp.961 - 986. ⟨10.1007/s10444-014-9365-0⟩
Article dans une revue hal-00934641v1
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Time-integration schemes for the finite element dynamic Signorini problem

 David Doyen , Alexandre Ern , Serge Piperno
SIAM Journal on Scientific Computing, 2011, 33 (1), pp.223-249. ⟨10.1137/100791440⟩
Article dans une revue hal-00440128v1
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Equilibrated tractions for the Hybrid High-Order method

 Daniele Di Pietro , Alexandre Ern
Comptes Rendus. Mathématique, 2015, 353 (3), pp.279--282. ⟨10.1016/j.crma.2014.12.009⟩
Article dans une revue hal-01079026v2
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A well-balanced Runge--Kutta Discontinuous Galerkin method for the Shallow-Water Equations with flooding and drying

 Alexandre Ern , Serge Piperno , Karim Djadel
2007
Pré-publication, Document de travail hal-00153788v1
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Mass conservative BDF-discontinuous Galerkin/explicit finite volume schemes for coupling subsurface and overland flows

 Pierre Sochala , Alexandre Ern , Serge Piperno
2008
Pré-publication, Document de travail hal-00319836v1
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Finite Elements II: Galerkin Approximation, Elliptic and Mixed PDEs

 Alexandre Ern , Jean-Luc Guermond
Springer, 2021, ⟨10.1007/978-3-030-56923-5⟩
Ouvrages hal-03226050v1
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Four closely related equilibrated flux reconstructions for nonconforming finite elements

 Alexandre Ern , Martin Vohralík
Comptes Rendus. Mathématique, 2013, 351 (1-2), pp.77-80. ⟨10.1016/j.crma.2013.01.001⟩
Article dans une revue hal-00750777v1
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Implicit-Explicit Runge-Kutta schemes and finite elements with symmetric stabilization for advection-diffusion equations

 Erik Burman , Alexandre Ern
2010
Pré-publication, Document de travail hal-00530378v1
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A double-layer Boussinesq-type model for highly nonlinear and dispersive waves

 Florent Chazel , Michel Benoit , Alexandre Ern , Serge Piperno
2009
Pré-publication, Document de travail hal-00371036v1
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A posteriori error analysis of Euler-Galerkin approximations to coupled elliptic-parabolic problems

 Alexandre Ern , Sébastien Meunier
ESAIM: Mathematical Modelling and Numerical Analysis, 2007, pp.1
Article dans une revue hal-00164851v1
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Une nouvelle méthode de relaxation pour les équations de Navier-Stokes compressibles. II : validation numérique

 Emmanuel Bongiovanni , Alexandre Ern , Nathalie Glinsky-Olivier
RR-4605, INRIA. 2002
Rapport inria-00071980v1

A nonintrusive method to approximate linear systems with nonlinear parameter dependence

 Fabien Casenave , Alexandre Ern , Tony Lelièvre , Guillaume Sylvand
2013
Pré-publication, Document de travail hal-00845822v1
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An unfitted Hybrid High-Order method for elliptic interface problems

 Erik Burman , Alexandre Ern
SIAM Journal on Numerical Analysis, 2018, 56 (3), pp.1525-1546
Article dans une revue hal-01625421v2
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A posteriori energy-norm error estimates for advection-diffusion equations approximated by weighted interior penalty methods

 Alexandre Ern , Annette Stephansen
2007
Pré-publication, Document de travail hal-00171838v1
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Une méthode HHO explicite pour la dynamique des structures

 Morgane Steins , Florence Drui , Alexandre Ern , Olivier Jamond
CSMA 2022 - 15ème colloque national en calcul des structures, May 2022, Giens, France
Communication dans un congrès cea-04487787v1
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Explicit Runge--Kutta schemes and finite elements with symmetric stabilization for first-order linear PDE systems

 Erik Burman , Alexandre Ern , Miguel Angel Fernández
SIAM Journal on Numerical Analysis, 2010, 48 (6), pp.2019-2042. ⟨10.1137/090757940⟩
Article dans une revue hal-00380659v1
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Spectral correctness of the continuous finite element stabilized approximation of the first-order form of Maxwell's equations

 Alexandre Ern , Jean-Luc Guermond
2024
Pré-publication, Document de travail hal-04478683v2
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A posteriori error estimation based on potential and flux reconstruction for the heat equation

 Alexandre Ern , Martin Vohralík
SIAM Journal on Numerical Analysis, 2010, 48 (1), pp.198-223. ⟨10.1137/090759008⟩
Article dans une revue hal-00383692v1
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