Nombre de documents

86

CV de Alexandre Ern


Article dans une revue46 documents

  • Rita Riedlbeck, Daniele Di Pietro, Alexandre Ern, Sylvie Granet, Kyrylo Kazymyrenko. Stress and flux reconstruction in Biot's poro-elasticity problem with application to a posteriori error analysis. Computers and Mathematics with Applications, Elsevier, 2017, 73 (7), pp.1593-1610. <10.1016/j.camwa.2017.02.005>. <hal-01366646v2>
  • Erik Burman, Alexandre Ern, Miguel Angel Fernández. Fractional-step methods and finite elements with symmetric stabilization for the transient Oseen problem. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2017, 51 (2), pp.487-507. <10.1051/m2an/2016028>. <hal-01218328>
  • Christelle Lusso, Alexandre Ern, François Bouchut, Anne Mangeney, Maxime Farin, et al.. Two-dimensional simulation by regularization of free surface viscoplastic flows with Drucker-Prager yield stress and application to granular collapse. Journal of Computational Physics, Elsevier, 2017, 333, pp.387-408. <10.1016/j.jcp.2016.12.036>. <hal-01133786v2>
  • Christelle Lusso, François Bouchut, Alexandre Ern, Anne Mangeney. A free interface model for static/flowing dynamics in thin-layer flows of granular materials with yield: simple shear simulations and comparison with experiments. Applied Sciences, Molecular Diversity Preservation International (MDPI), 2017, 7 (4), pp.386. <10.3390/app7040386>. <hal-00992309v4>
  • Alexandre Ern, Iain Smears, Martin Vohralík. Discrete $p$-robust H(div)-liftings and a posteriori estimates for elliptic problems with $H^{-1}$ source terms. Calcolo, Springer Verlag, 2017, <10.1007/s10092-017-0217-4>. <hal-01377007>
  • Daniele Antonio Di Pietro, Alexandre Ern. Arbitrary-order mixed methods for heterogeneous anisotropic diffusion on general meshes. IMA Journal of Numerical Analysis, Oxford University Press (OUP), 2016, 37 (1), pp.40-63. <hal-00918482v3>
  • Daniele Di Pietro, Alexandre Ern, Alexander Linke, Friedhelm Schieweck. A discontinuous skeletal method for the viscosity-dependent Stokes problem. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2016, 306, pp.175-195. <10.1016/j.cma.2016.03.033>. <hal-01244387v2>
  • Bernardo Cockburn, Daniele Di Pietro, Alexandre Ern. Bridging the Hybrid High-Order and Hybridizable Discontinuous Galerkin Methods. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2016, Polyhedral discretization for PDE, 50 (3), pp.635-650. <hal-01115318v2>
  • Fabien Casenave, Alexandre Ern, Tony Lelièvre. Variants of the Empirical Interpolation Method: Symmetric formulation, choice of norms and rectangular extension. Applied Mathematics Letters, Elsevier, 2016, 56, pp.23 - 28. <10.1016/j.aml.2015.11.010>. <hal-01186039>
  • Vít Dolejší, Alexandre Ern, Martin Vohralík. hp-adaptation driven by polynomial-degree-robust a posteriori error estimates for elliptic problems. SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics, 2016, 38 (5), pp.A3220-A3246. <hal-01165187v3>
  • Daniele Antonio Di Pietro, Jerome Droniou, Alexandre Ern. A discontinuous-skeletal method for advection-diffusion-reaction on general meshes. SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2015, 53 (5), pp.2135-2157. <10.1137/140993971>. <hal-01079342v2>
  • Alexandre Ern, Martin Vohralík. Polynomial-degree-robust a posteriori estimates in a unified setting for conforming, nonconforming, discontinuous Galerkin, and mixed discretizations. SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2015, 53 (2), pp.1058-1081. <http://epubs.siam.org/doi/10.1137/130950100>. <hal-00921583v2>
  • Daniele Di Pietro, Alexandre Ern. Equilibrated tractions for the Hybrid High-Order method. Comptes Rendus Mathématique, Elsevier Masson, 2015, 353 (3), pp.279--282. <10.1016/j.crma.2014.12.009>. <hal-01079026v2>
  • Jerome Bonelle, Daniele Di Pietro, Alexandre Ern. Low-order reconstruction operators on polyhedral meshes: application to compatible discrete operator schemes. Computer Aided Geometric Design, Elsevier, 2015, 35-36, pp.27-41. <10.1016/j.cagd.2015.03.015>. <hal-01097311>
  • Daniele Antonio Di Pietro, Alexandre Ern. A hybrid high-order locking-free method for linear elasticity on general meshes. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2014, 283, pp.1-21. <10.1016/j.cma.2014.09.009>. <hal-00979435v2>
  • Jérôme Bonelle, Alexandre Ern. Analysis of Compatible Discrete Operator Schemes for Elliptic Problems on Polyhedral Meshes. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2014, 48 (02), pp.553--581. <10.1051/m2an/2013104>. <hal-00751284v2>
  • Fabien Casenave, Alexandre Ern, Tony Lelièvre. A nonintrusive reduced basis method applied to aeroacoustic simulations. Advances in Computational Mathematics, Springer Verlag, 2014, 41 (5), pp.961 - 986. <10.1007/s10444-014-9365-0>. <hal-00934641>
  • Daniele Antonio Di Pietro, Alexandre Ern, Simon Lemaire. An arbitrary-order and compact-stencil discretization of diffusion on general meshes based on local reconstruction operators. Computational Methods in Applied Mathematics, Society for Industrial and Applied Mathematics Publications, 2014, 14 (4), pp.461-472. <10.1515/cmam-2014-0018>. <hal-00978198v2>
  • Rémi Joubaud, Olivier Bernard, Alfred Delville, Alexandre Ern, Benjamin Rotenberg, et al.. Numerical study of density functional theory with mean spherical approximation for ionic condensation in highly charged confined electrolytes. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2014, 89, pp.062302. <10.1103/PhysRevE.89.062302>. <hal-00992323>
  • Daniele Antonio Di Pietro, Alexandre Ern. Hybrid High-Order methods for variable diffusion problems on general meshes. Comptes Rendus Mathématique, Elsevier Masson, 2014, 353, pp.31--34. <10.1016/j.crma.2014.10.013>. <hal-01023302>
  • Alexandre Ern, Martin Vohralík. Four closely related equilibrated flux reconstructions for nonconforming finite elements. Comptes Rendus Mathématique. Académie des Sciences. Paris, Elsevier, 2013, 351 (1-2), pp.77-80. <10.1016/j.crma.2013.01.001>. <hal-00750777>
  • Alexandre Ern, Jean-Luc Guermond. Weighting the edge stabilization. SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2013, 51 (3), pp.1655-1677. <10.1137/120867482>. <hal-00964139>
  • Alexandre Ern, Martin Vohralík. Adaptive inexact Newton methods with a posteriori stopping criteria for nonlinear diffusion PDEs. SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics, 2013, 35 (4), pp.A1761-A1791. <10.1137/120896918>. <hal-00681422v2>
  • Vít Dolejší, Alexandre Ern, Martin Vohralík. A framework for robust a posteriori error control in unsteady nonlinear advection-diffusion problems. SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2013, 51 (2), pp.773-793. <10.1137/110859282>. <hal-00652979v2>
  • David Doyen, Alexandre Ern, Serge Piperno. Quasi-explicit time-integration schemes for dynamic fracture with set-valued cohesive zone models. Computational Mechanics, Springer Verlag, 2013, 52 (2), pp.401-416. <10.1007/s00466-012-0819-2>. <hal-00736779>
  • Marie Rousseau, Olivier Cerdan, Alexandre Ern, Olivier Le Maitre, Pierre Sochala. Study of overland flow with uncertain infiltration using stochastic tools. Advances in Water Resources, Elsevier, 2012, 38, pp.1-12. <10.1016/j.advwatres.2011.12.004>. <hal-00662082>
  • Linda El Alaoui, Alexandre Ern, Martin Vohralík. Guaranteed and robust a posteriori error estimates and balancing discretization and linearization errors for monotone nonlinear problems. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2011, 200 (37-40), pp.2782-2795. <10.1016/j.cma.2010.03.024>. <hal-00410471>
  • Daniele Antonio Di Pietro, Alexandre Ern. Analysis of a discontinuous Galerkin method for heterogeneous diffusion problems with low-regularity solutions. Numerical Methods for Partial Differential Equations, Wiley, 2011, 17 p. <10.1002/num.20675>. <hal-00514387>
  • Alexandre Ern, Rémi Joubaud, Tony Lelievre. Numerical study of a thin liquid film flowing down an inclined wavy plane. Physica D: Nonlinear Phenomena, Elsevier, 2011, 240 (21), pp.1714-1723. <10.1016/j.physd.2011.07.007>. <hal-00533000v2>
  • David Doyen, Alexandre Ern. Analysis of the modified mass method for the dynamic Signorini problem with Coulomb friction. SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2011, 49 (5), pp.2039-2056. <10.1137/100804711>. <hal-00473809>
  • David Doyen, Alexandre Ern, Serge Piperno. Time-integration schemes for the finite element dynamic Signorini problem. SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics, 2011, 33 (1), pp.223-249. <10.1137/100791440>. <hal-00440128>
  • Daniele Antonio Di Pietro, Alexandre Ern. Discrete functional analysis tools for Discontinuous Galerkin methods with application to the incompressible Navier--Stokes equations. Mathematics of Computation / Mathematics of Computation, American Mathematical Society, 2010, 79 (271), pp.1303-1330. <hal-00278925>
  • Anne Bourlioux, Alexandre Ern, Pascal Turbis. A Posteriori Error Estimation for Subgrid Flamelet Models. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal: A SIAM Interdisciplinary Journal, SIAM, 2010, 8 (2), pp.481-497. <10.1137/080726562>. <hal-00674641>
  • Alexandre Ern, Igor Mozolevski, Luciane Schuh. Discontinuous Galerkin approximation of two-phase flows in heterogeneous porous media with discontinuous capillary pressures. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2010, 199 (23-24), pp.1491-1501. <10.1016/j.cma.2009.12.014>. <hal-00368026>
  • David Doyen, Alexandre Ern, Serge Piperno. A three-field augmented Lagrangian formulation of unilateral contact problems with cohesive forces. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2010, 44 (2), pp.323-346. <10.1051/m2an/2010004>. <hal-00349836>
  • Simona Perotto, Alexandre Ern, Alessandro Veneziani. Hierarchical local model reduction for elliptic problems I: a domain decomposition approach. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal: A SIAM Interdisciplinary Journal, SIAM, 2010, 8 (4), pp.1102-1127. <10.1137/090756624>. <hal-00377492>
  • Julie Tryoen, Olivier Le Maitre, Michael Ndjinga, Alexandre Ern. Intrusive projection methods with upwinding for uncertain nonlinear hyperbolic systems. Journal of Computational Physics, Elsevier, 2010, 229 (18), pp.6485-6511. <10.1016/j.jcp.2010.05.007>. <hal-00375616v2>
  • Julie Tryoen, Olivier Le Maitre, Michael Ndjinga, Alexandre Ern. Roe Solver with Entropy Corrector for Uncertain Hyperbolic Systems. Journal of Computational and Applied Mathematics, Elsevier, 2010, 235 (2), pp.491-506. <10.1016/j.cam.2010.05.043>. <hal-00444845>
  • Alexandre Ern, Martin Vohralík. A posteriori error estimation based on potential and flux reconstruction for the heat equation. SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2010, 48 (1), pp.198-223. <10.1137/090759008>. <hal-00383692>
  • Erik Burman, Alexandre Ern, Miguel Angel Fernández. Explicit Runge--Kutta schemes and finite elements with symmetric stabilization for first-order linear PDE systems. SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2010, 48 (6), pp.2019-2042. <10.1137/090757940>. <hal-00380659>
  • David Doyen, Alexandre Ern. Convergence of a space semi-discrete modified mass method for the dynamic Signorini problem. Communications in Mathematical Sciences, International Press, 2009, 7 (4), pp.1063-1072. <hal-00404248>
  • Alexandre Ern, Annette Stephansen, Martin Vohralík. Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection-diffusion-reaction problems. Journal of Computational and Applied Mathematics, Elsevier, 2009, 234 (1), pp.114-130. <10.1016/j.cam.2009.12.009>. <hal-00193540v3>
  • Alexandre Ern, Sébastien Meunier. A posteriori error analysis of Euler-Galerkin approximations to coupled elliptic-parabolic problems. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2007, pp.1. <hal-00164851>
  • Erik Burman, Alexandre Ern, Igor Mozolevski, Benjamin Stamm. The symmetric discontinuous Galerkin method does not need stabilization in 1D for polynomial orders. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2007, 345 (10), pp.599--602. <10.1016/j.crma.2007.10.028>. <hal-01090911>
  • L. Debiane, Benjamin Ivorra, Bijan Mohammadi, Franck Nicoud, Thierry Poinsot, et al.. A low-complexity global optimization algorithm for temperature and pollution control in flames with complex chemistry. International Journal of Computational Fluid Dynamics, Taylor & Francis, 2006, 20 (2), pp.93-98. <10.1080/10618560600771758>. <hal-00908273>
  • Héloïse Beaugendre, Alexandre Ern, Thomas Esclaffer, Eric Gaume, Irina Ginzburg, et al.. A seepage face model for the interaction of shallow water tables with the ground surface: Application of the obstacle-type method. Journal of Hydrology, Elsevier, 2006, 329 (1-2), pp.258-273. <10.1016/j.jhydrol.2006.02.019>. <inria-00337535>

Pré-publication, Document de travail25 documents

  • Rita Riedlbeck, Daniele Di Pietro, Alexandre Ern. Equilibrated stress reconstructions for linear elasticity problems with application to a posteriori error analysis. 2017. <hal-01433841v2>
  • Alexandre Ern, Iain Smears, Martin Vohralík. Equilibrated flux a posteriori error estimates in $L^2(H^1)$-norms for high-order discretizations of parabolic problems. 2017. <hal-01489721>
  • Matteo Cicuttin, Alexandre Ern, Simon Lemaire. A Multi-scale Hybrid High-Order method. 2017. <hal-01467434>
  • Erik Burman, Alexandre Ern. A nonlinear consistent penalty method for positivity preservation in the finite element approximation of the transport equation. 2016. <hal-01383295>
  • Alexandre Ern, Martin Vohralík. Stable broken H1 and H(div) polynomial extensions for polynomial-degree-robust potential and flux reconstruction in three space dimensions. 2016. <hal-01422204>
  • Alexandre Ern, Iain Smears, Martin Vohralík. Guaranteed, locally space-time efficient, and polynomial-degree robust a posteriori error estimates for high-order discretizations of parabolic problems. 2016. <hal-01377086>
  • Pierre Cantin, Alexandre Ern. An edge-based scheme on polyhedral meshes for vector advection-reaction equations. 2016. <hal-01324545v2>
  • Pierre Cantin, Jérôme Bonelle, Erik Burman, Alexandre Ern. A vertex-based scheme on polyhedral meshes for advection-reaction equations with sub-mesh stabilization. 2016. <hal-01285957v2>
  • Alexandre Ern, Jean-Luc Guermond. A converse to Fortin's Lemma in Banach spaces. 2016. <hal-01273901v2>
  • Christelle Lusso, François Bouchut, Alexandre Ern, Anne Mangeney. Explicit solutions to a free interface model for the static/flowing transition in thin granular flows. 2016. <hal-01180686v2>
  • Alexandre Ern, Jean-Luc Guermond. FINITE ELEMENT QUASI-INTERPOLATION AND BEST APPROXIMATION . 2015. <hal-01155412v2>
  • Alexandre Ern, Jean-Luc Guermond. MOLLIFICATION IN STRONGLY LIPSCHITZ DOMAINS WITH APPLICATION TO CONTINUOUS AND DISCRETE DE RHAM COMPLEX . 2015. <hal-01192941>
  • Pierre Cantin, Alexandre Ern. Vertex-Based Compatible Discrete Operator Schemes on Polyhedral Meshes for Advection-Diffusion Equations. 2015. <hal-01141290v3>
  • Maria Adela Puscas, Laurent Monasse, Alexandre Ern, Christian Tenaud, Christian Mariotti. A conservative Embedded Boundary method for an inviscid compressible flow coupled with a fragmenting structure. 26p. 2014. <hal-01071619v2>
  • Jérôme Bonelle, Alexandre Ern. Analysis of Compatible Discrete Operator Schemes for the Stokes Equations on Polyhedral Meshes. 2014. <hal-00939164v2>
  • Maria Adela Puscas, Laurent Monasse, Alexandre Ern, Christian Tenaud, Christian Mariotti, et al.. A time semi-implicit scheme for the energy-balanced coupling of a shocked fluid flow with a deformable structure. 2014. <hal-00993324v3>
  • Fabien Casenave, Alexandre Ern, Guillaume Sylvand. Coupled BEM-FEM for the convected Helmholtz equation with non-uniform flow in a bounded domain. 23 pages, 9 figures. 2013. <hal-00805477>
  • Fabien Casenave, Alexandre Ern, Tony Lelièvre, Guillaume Sylvand. A nonintrusive method to approximate linear systems with nonlinear parameter dependence. 17 pages, 9 figures. 2013. <hal-00845822>
  • Rémi Joubaud, Olivier Bernard, Lorenzo Contento, Alexandre Ern, Benjamin Rotenberg, et al.. Phase separation in highly charged confined ionic solutions. 2013. <hal-00806218>
  • Fabien Casenave, Alexandre Ern, Tony Lelièvre. Accurate and efficient evaluation of the a posteriori error estimator in the reduced basis method. 27pages, 11 figures. 2012. <hal-00761735>
  • Erik Burman, Alexandre Ern. Implicit-Explicit Runge-Kutta schemes and finite elements with symmetric stabilization for advection-diffusion equations. 2010. <hal-00530378>
  • Florent Chazel, Michel Benoit, Alexandre Ern, Serge Piperno. A double-layer Boussinesq-type model for highly nonlinear and dispersive waves. 28 pages, 5 figures. Soumis à Proceedings of the Royal Society of London A. 2009. <hal-00371036>
  • Pierre Sochala, Alexandre Ern, Serge Piperno. Mass conservative BDF-discontinuous Galerkin/explicit finite volume schemes for coupling subsurface and overland flows. 2008. <hal-00319836>
  • Alexandre Ern, Annette Stephansen. A posteriori energy-norm error estimates for advection-diffusion equations approximated by weighted interior penalty methods. 22 pages. 2007. <hal-00171838>
  • Alexandre Ern, Serge Piperno, Karim Djadel. A well-balanced Runge--Kutta Discontinuous Galerkin method for the Shallow-Water Equations with flooding and drying. 2007. <hal-00153788>

Rapport9 documents

  • Alexandre Ern, Friedhelm Schieweck. Discontinuous Galerkin method in time combined with a stabilized finite element method in space for linear first-order PDEs. 2014. <hal-00947695>
  • Lorenzo Contento, Alexandre Ern, Rossana Vermiglio. An efficient algorithm for the double Legendre-Fenchel transform with application to phase separation. 2013. <hal-00806597>
  • Alexandre Ern, Jean-Luc Guermond. Weighting the edge stabilization. 2012. <hal-00674336>
  • Alexandre Ern, Martin Vohralík. Adaptive inexact Newton methods for discretizations of nonlinear diffusion PDEs. II. Applications. 2012. <hal-00681426>
  • Julie Tryoen, Olivier Le Maitre, Alexandre Ern. Adaptive Anisotropic Spectral Stochastic Methods for Uncertain Scalar Conservation Laws. 2012. <hal-00681200>
  • Alexandre Ern, Remi Joubaud, Tony Lelievre. Mathematical study of non-ideal electrostatic correlations in equilibrium electrolytes. 2011. <hal-00654736>
  • Marie Rousseau, Olivier Cerdan, Alexandre Ern, Olivier Le Maitre, Pierre Sochala. Study of overland flow with uncertain infiltration using stochastic tools. 2011. <hal-00612949>
  • Emmanuel Bongiovanni, Alexandre Ern, Nathalie Glinsky-Olivier. Une nouvelle méthode de relaxation pour les équations de Navier-Stokes compressibles. II : validation numérique. RR-4605, INRIA. 2002. <inria-00071980>
  • Emmanuel Bongiovanni, Alexandre Ern, Nathalie Glinsky-Olivier. Une nouvelle méthode de relaxation pour les équations de Navier-Stokes compressibles. I : cadre théorique. RR-4604, INRIA. 2002. <inria-00071981>

Chapitre d'ouvrage2 documents

  • Daniele Di Pietro, Alexandre Ern, Simon Lemaire. A review of Hybrid High-Order methods: formulations, computational aspects, comparison with other methods. G. R. Barrenechea, F. Brezzi, A. Cangiani, E. H. Georgoulis Eds. Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations, 114, Springer, pp.205-236, 2016, Lecture Notes in Computational Science and Engineering, <10.1007/978-3-319-41640-3_7>. <hal-01163569v4>
  • David Doyen, Alexandre Ern, Serge Piperno. A Semi-Explicit Modified Mass Method for Dynamic Frictionless Contact Problems. Trends in Computational Contact Mechanics, Springer-Verlag, pp.157-168, 2011, Lecture Notes in Applied and Computational Mechanics (LNACM 58), 978-3-642-22166-8. <10.1007/978-3-642-22167-5_9>. <hal-00676442>

Communication dans un congrès4 documents

  • Marie Rousseau, Olivier Cerdan, Alexandre Ern, Olivier Le Maitre, Pierre Sochala. Are "Physically-based" soil erosion models physically-based? Some elements from a sensitivity analysis of the Hairsine and Rose model. 8th International Conference on Geomorphology - IAG 2013, Aug 2013, La Villette, France. <hal-00800841>
  • Marie Rousseau, Olivier Cerdan, Alexandre Ern, Olivier Le Maitre, Pierre Sochala. Hydrologic modeling with uncertain input parameters. European Geosciences Union 2012, Apr 2012, Vienne, Austria. <hal-00668188>
  • Héloïse Beaugendre, Alexandre Ern, Serge Huberson. Combined finite element - particles discretisation for simulation of transport-dispersion in porous media. ICCFD5, Jul 2008, Séoul, South Korea. 2008. <inria-00334334>
  • Héloïse Beaugendre, Alexandre Ern. Finite volume box scheme for a certain class of nonlinear conservative laws in mixed form. ICCFD, the fourth international conference on computational fluid dynamics, Jul 2006, Ghent, Belgium. 2006. <inria-00386473>