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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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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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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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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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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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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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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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$hp$-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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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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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 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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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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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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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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Explicit solutions to a free interface model for the static/flowing transition in thin granular flows

 Christelle Lusso , François Bouchut , Alexandre Ern , Anne Mangeney
ESAIM: Mathematical Modelling and Numerical Analysis, 2021, 55, pp.S369-S395. ⟨10.1051/m2an/2020042⟩
Article dans une revue hal-01180686v4
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A Hybrid High-Order method for incremental associative plasticity with small deformations

 Mickaël Abbas , Alexandre Ern , Nicolas Pignet
Computer Methods in Applied Mechanics and Engineering, 2019, 346, pp.891-912. ⟨10.1016/j.cma.2018.08.037⟩
Article dans une revue hal-01768411v4
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A seepage face model for the interaction of shallow water tables with the ground surface: Application of the obstacle-type method

 Héloïse Beaugendre , Alexandre Ern , Thomas Esclaffer , Eric Gaume , Irina Ginzburg , et al.
Journal of Hydrology, 2006, 329 (1-2), pp.258-273. ⟨10.1016/j.jhydrol.2006.02.019⟩
Article dans une revue inria-00337535v1

Finite element modeling of variably saturated flows in hillslopes with shallow water table

 Heloise Beaugendre , Alexandre Ern , Jean-Philippe Carlier , Irina Ginzburg , Cyril Kao
Proceedings of the XVth international conference on computational methods in water resources, Chapel Hill, USA, 13-17 June 2004, 2004, Chapel Hill, France. pp.1427-1439
Communication dans un congrès hal-02582879v1
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Guaranteed and robust a posteriori error estimates and balancing discretization and linearization errors for monotone nonlinear problems

 Linda El Alaoui , Alexandre Ern , Martin Vohralík
Computer Methods in Applied Mechanics and Engineering, 2011, 200 (37-40), pp.2782-2795. ⟨10.1016/j.cma.2010.03.024⟩
Article dans une revue hal-00410471v1
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Bridging the multiscale hybrid-mixed and multiscale hybrid high-order methods

 Théophile Chaumont-Frelet , Alexandre Ern , Simon Lemaire , Frédéric Valentin
ICOSAHOM 2020 - International Conference on Spectral and High-Order Methods, Jul 2021, Vienna / Virtual, Austria
Communication dans un congrès hal-03403920v1
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Damped energy-norm a posteriori error estimates for fully discrete approximations of the wave equation using C2-reconstructions

 Théophile Chaumont-Frelet , Alexandre Ern
2024
Pré-publication, Document de travail hal-04511867v1
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Unfitted hybrid high-order methods for the wave equation

 Erik Burman , Omar Duran , Alexandre Ern
Computer Methods in Applied Mechanics and Engineering, 2022, ⟨10.1016/j.cma.2021.114366⟩
Article dans une revue hal-03086432v3
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An adaptive $hp$-refinement strategy with inexact solvers and computable guaranteed bound on the error reduction factor

 Patrik Daniel , Alexandre Ern , Martin Vohralík
Computer Methods in Applied Mechanics and Engineering, 2020, 359, pp.112607. ⟨10.1016/j.cma.2019.112607⟩
Article dans une revue hal-01931448v2
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Finite element quasi-interpolation and best approximation

 Alexandre Ern , Jean-Luc Guermond
ESAIM: Mathematical Modelling and Numerical Analysis, 2017, ⟨10.1051/m2an/2016066⟩
Article dans une revue hal-01155412v3
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A review of Hybrid High-Order methods: formulations, computational aspects, comparison with other methods

 Daniele Di Pietro , Alexandre Ern , Simon Lemaire
G. R. Barrenechea, F. Brezzi, A. Cangiani, E. H. Georgoulis. Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations, 114, Springer, Cham, pp.205-236, 2016, Lecture Notes in Computational Science and Engineering, 978-3-319-41638-0. ⟨10.1007/978-3-319-41640-3_7⟩
Chapitre d'ouvrage hal-01163569v4
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