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Implicit-Explicit Runge-Kutta schemes and finite elements with symmetric stabilization for advection-diffusion equations
Erik Burman
,
Alexandre Ern
2010
Preprints, Working Papers, ...
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
Preprints, Working Papers, ...
hal-00371036v1
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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
Journal articles
hal-00380659v1
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A posteriori error estimation based on potential and flux reconstruction for the heat equation
Alexandre Ern
,
Martin Vohralík
Journal articles
hal-00383692v1
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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
Journal articles
hal-00164851v1
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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
Preprints, Working Papers, ...
hal-00171838v1
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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
Reports
inria-00071980v1
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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
Journal articles
hal-01625421v2
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Low-rank approximation of linear parabolic equations by space-time tensor Galerkin methods
Thomas Boiveau
,
Virginie Ehrlacher
,
Alexandre Ern
,
Anthony Nouy
Journal articles
hal-01668316v2
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An adaptive $hp$-refinement strategy with computable guaranteed bound on the error reduction factor
Patrik Daniel
,
Alexandre Ern
,
Iain Smears
,
Martin Vohralík
Journal articles
hal-01666763v2
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Discrete $p$-robust H(div)-liftings and a posteriori estimates for elliptic problems with $H^{-1}$ source terms
Alexandre Ern
,
Iain Smears
,
Martin Vohralík
Journal articles
hal-01377007v1
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Discontinuous Galerkin Methods for Anisotropic Semidefinite Diffusion with Advection
Daniele Antonio Di Pietro
,
Alexandre Ern
,
Jean-Luc Guermond
Journal articles
hal-01818201v1
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A nonintrusive method to approximate linear systems with nonlinear parameter dependence
Fabien Casenave
,
Alexandre Ern
,
Tony Lelièvre
,
Guillaume Sylvand
2013
Preprints, Working Papers, ...
hal-00845822v1
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A framework for robust a posteriori error control in unsteady nonlinear advection-diffusion problems
Vít Dolejší
,
Alexandre Ern
,
Martin Vohralík
Journal articles
hal-00652979v2
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Polynomial-degree-robust a posteriori error estimation for Maxwell's equations
Théophile Chaumont-Frelet
,
Alexandre Ern
,
Martin Vohralík
ICOSAHOM 2021 - International Conference on Spectral High Order Methods, Jul 2021, Vienna, Austria
Conference papers
hal-03403944v1
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Quasi-static crack propagation with a Griffith criterion using a variational discrete element method
Frédéric Marazzato
,
Alexandre Ern
,
Laurent Monasse
2021
Preprints, Working Papers, ...
hal-03102982v3
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Low-order reconstruction operators on polyhedral meshes: application to compatible discrete operator schemes
Jerome Bonelle
,
Daniele Di Pietro
,
Alexandre Ern
Journal articles
hal-01097311v1
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Analysis of Compatible Discrete Operator Schemes for Elliptic Problems on Polyhedral Meshes
Jérôme Bonelle
,
Alexandre Ern
Journal articles
hal-00751284v2
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The symmetric discontinuous Galerkin method does not need stabilization in 1D for polynomial orders
Erik Burman
,
Alexandre Ern
,
Igor Mozolevski
,
Benjamin Stamm
Journal articles
hal-01090911v1
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Numerical study of density functional theory with mean spherical approximation for ionic condensation in highly charged confined electrolytes
Rémi Joubaud
,
Olivier Bernard
,
Alfred Delville
,
Alexandre Ern
,
Benjamin Rotenberg
,
et al.
Journal articles
hal-00992323v1
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A quasi-optimal variant of the hybrid high-order method for elliptic PDEs with $H^{ −1}$ loads
Alexandre Ern
,
Pietro Zanotti
Journal articles
hal-02114715v1
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On the derivation of guaranteed and p-robust a posteriori error estimates for the Helmholtz equation
Théophile Chaumont-Frelet
,
Alexandre Ern
,
Martin Vohralík
Journal articles
hal-02202233v3
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Asymptotically constant-free, p-robust and guaranteed a posteriori error estimates for the Helmholtz equation
Théophile Chaumont-Frelet
,
Alexandre Ern
,
Martin Vohralík
EnuMath 2019 - European Numerical Mathematics and Advanced Applications Conference, Sep 2019, Egmond aan Zee, Netherlands
Conference papers
hal-02321140v1
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Guaranteed error estimates for finite element discretizations of Helmholtz problems
Théophile Chaumont-Frelet
,
Alexandre Ern
,
Martin Vohralík
Numerical Waves, Oct 2021, Nice, France
Conference papers
hal-03404014v1
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Analysis of a discontinuous Galerkin method for heterogeneous diffusion problems with low-regularity solutions
Daniele Antonio Di Pietro
,
Alexandre Ern
Journal articles
hal-00514387v1
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Intrusive projection methods with upwinding for uncertain nonlinear hyperbolic systems
Julie Tryoen
,
Olivier Le Maitre
,
Michael Ndjinga
,
Alexandre Ern
Journal articles
hal-00375616v2
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Abstract nonconforming error estimates and application to boundary penalty methods for diffusion equations and time-harmonic Maxwell's equations
Alexandre Ern
,
Jean-Luc Guermond
Journal articles
hal-01563594v4
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Guaranteed, locally space-time efficient, and polynomial-degree robust a posteriori error estimates for high-order discretizations of parabolic problems
Alexandre Ern
,
Iain Smears
,
Martin Vohralík
Journal articles
hal-01377086v1
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A hybridized high-order method for unique continuation subject to the Helmholtz equation
Erik Burman
,
Guillaume Delay
,
Alexandre Ern
SIAM Journal on Numerical Analysis, 2021, 59 (5), pp.2368-2392
Journal articles
hal-02977024v3
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Variants of the Empirical Interpolation Method: Symmetric formulation, choice of norms and rectangular extension
Fabien Casenave
,
Alexandre Ern
,
Tony Lelièvre
Journal articles
hal-01186039v1
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