Alexandre Ern - RankMe

111 papers Journal 108Unranked 2

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	Elasto-acoustic wave propagation in geophysical media using hybrid high-order methods on general meshes. CoRR Romain Mottier, Alexandre Ern, Laurent Guillot
2025	J	`jnl`	Hybrid high-order methods for elasto-acoustic wave propagation in the time domain. CoRR Romain Mottier, Alexandre Ern, Rekha Khot, Laurent Guillot
2025	J	`jnl`	Improved L CoRR Bernardo Cockburn, Alexandre Ern, Rekha Khot
2025	J	`jnl`	Local L2-bounded commuting projections using discrete local problems on Alfeld splits. CoRR Alexandre Ern, Johnny Guzmán, Pratyush Potu, Martin Vohralík
2025	J	`jnl`	Spectral Correctness of the Simplicial Discontinuous Galerkin Approximation of the First-Order Form of Maxwell's Equations with Discontinuous Coefficients. SIAM J. Numer. Anal. Alexandre Ern, Jean-Luc Guermond
2025	J	`jnl`	The unique continuation problem for the wave equation discretized with a high-order space-time nonconforming method. Numerische Mathematik Erik Burman, Guillaume Delay, Alexandre Ern
2025	J	`jnl`	Third-Order Sectorially A-Stable Alternating Implicit Runge-Kutta Schemes. SIAM J. Sci. Comput. Alexandre Ern, Jean-Luc Guermond
2025	J	`jnl`	Unfitted hybrid high-order methods stabilized by polynomial extension for elliptic interface problems. CoRR Erik Burman, Alexandre Ern, Romain Mottier
2024	J	`jnl`	A priori and a posteriori analysis of the discontinuous Galerkin approximation of the time-harmonic Maxwell's equations under minimal regularity assumptions. CoRR Théophile Chaumont-Frelet, Alexandre Ern
2024	J	`jnl`	An elasticity-based mesh morphing technique with application to reduced-order modeling. CoRR Abbas Kabalan, Fabien Casenave, Felipe Bordeu, Virginie Ehrlacher, Alexandre Ern
2024	J	`jnl`	Asymptotic and Invariant-Domain Preserving Schemes for Scalar Conservation Equations with Stiff Source Terms and Multiple Equilibrium Points. J. Sci. Comput. Alexandre Ern, Jean-Luc Guermond, Zuodong Wang
2024	J	`jnl`	Convergence Analysis for the Wave Equation Discretized with Hybrid Methods in Space (HHO, HDG and WG) and the Leapfrog Scheme in Time. J. Sci. Comput. Alexandre Ern, Morgane Steins
2024	J	`jnl`	Damped energy-norm a posteriori error estimates for fully discrete approximations of the wave equation using C2-reconstructions. CoRR Théophile Chaumont-Frelet, Alexandre Ern
2024	J	`jnl`	Discrete Poincaré inequalities: a review on proofs, equivalent formulations, and behavior of constants. CoRR Alexandre Ern, Johnny Guzmán, Pratyush Potu, Martin Vohralík
2023	J	`jnl`	A reduced basis method for frictional contact problems formulated with Nitsche's method. CoRR Idrissa Niakh, Guillaume Drouet, Virginie Ehrlacher, Alexandre Ern
2023	J	`jnl`	Asymptotic optimality of the edge finite element approximation of the time-harmonic Maxwell's equations. CoRR Théophile Chaumont-Frelet, Alexandre Ern
2023	J	`jnl`	Invariant-Domain Preserving High-Order Time Stepping: II. IMEX Schemes. SIAM J. Sci. Comput. Alexandre Ern, Jean-Luc Guermond
2023	J	`jnl`	The Discontinuous Galerkin Approximation of the Grad-Div and Curl-Curl Operators in First-Order Form Is Involution-Preserving and Spectrally Correct. SIAM J. Numer. Anal. Alexandre Ern, Jean-Luc Guermond
2023	J	`jnl`	The Unique Continuation Problem for the Heat Equation Discretized with a High-Order Space-Time Nonconforming Method. SIAM J. Numer. Anal. Erik Burman, Guillaume Delay, Alexandre Ern
2022	J	`jnl`	Artificial Compressibility Methods for the Incompressible Navier-Stokes Equations Using Lowest-Order Face-Based Schemes on Polytopal Meshes. Comput. Methods Appl. Math. Riccardo Milani, Jérôme Bonelle, Alexandre Ern
2022	J	`jnl`	C CoRR Zhaonan Dong, Alexandre Ern
2022	J	`jnl`	Hybrid High-Order and Weak Galerkin Methods for the Biharmonic Problem. SIAM J. Numer. Anal. Zhaonan Dong, Alexandre Ern
2022	J	`jnl`	Invariant-Domain-Preserving High-Order Time Stepping: I. Explicit Runge-Kutta Schemes. SIAM J. Sci. Comput. Alexandre Ern, Jean-Luc Guermond
2022	J	`jnl`	Local decay rates of best-approximation errors using vector-valued finite elements for fields with low regularity and integrable curl or divergence. CoRR Zhaonan Dong, Alexandre Ern, Jean-Luc Guermond
2022	J	`jnl`	Quasi-optimal Nonconforming Approximation of Elliptic PDEs with Contrasted Coefficients and $$H^{1+{r}}$$, $${r}>0$$, Regularity. Found. Comput. Math. Alexandre Ern, Jean-Luc Guermond
2022	J	`jnl`	Stable broken H(curl) polynomial extensions and p-robust a posteriori error estimates by broken patchwise equilibration for the curl-curl problem. Math. Comput. Théophile Chaumont-Frelet, Alexandre Ern, Martin Vohralík
2021	J	`jnl`	A Hybridized High-Order Method for Unique Continuation Subject to the Helmholtz Equation. SIAM J. Numer. Anal. Erik Burman, Guillaume Delay, Alexandre Ern
2021	J	`jnl`	An Unfitted Hybrid High-Order Method with Cell Agglomeration for Elliptic Interface Problems. SIAM J. Sci. Comput. Erik Burman, Matteo Cicuttin, Guillaume Delay, Alexandre Ern
2021	J	`jnl`	Artificial compressibility methods for the incompressible Navier-Stokes equations using lowest-order face-based schemes on polytopal meshes. CoRR Riccardo Milani, Jérôme Bonelle, Alexandre Ern
2021	J	`jnl`	Bridging the Multiscale Hybrid-Mixed and Multiscale Hybrid High-Order methods. CoRR Théophile Chaumont-Frelet, Alexandre Ern, Simon Lemaire, Frédéric Valentin
2021	J	`jnl`	Convergence Analysis of Hybrid High-Order Methods for the Wave Equation. J. Sci. Comput. Erik Burman, Omar Durán, Alexandre Ern, Morgane Steins
2021	J	`jnl`	Guaranteed lower bounds on eigenvalues of elliptic operators with a hybrid high-order method. Numerische Mathematik Carsten Carstensen, Alexandre Ern, Sophie Puttkammer
2021	J	`jnl`	Hybrid high-order and weak Galerkin methods for the biharmonic problem. CoRR Zhaonan Dong, Alexandre Ern
2021	J	`jnl`	Hybrid high-order method for singularly perturbed fourth-order problems on curved domains. CoRR Zhaonan Dong, Alexandre Ern
2021	J	`jnl`	Hybrid high-order methods. A primer with application to solid mechanics. CoRR Matteo Cicuttin, Alexandre Ern, Nicolas Pignet
2021	J	`jnl`	On the derivation of guaranteed and p-robust a posteriori error estimates for the Helmholtz equation. CoRR Théophile Chaumont-Frelet, Alexandre Ern, Martin Vohralík
2021	J	`jnl`	On the derivation of guaranteed and p-robust a posteriori error estimates for the Helmholtz equation. Numerische Mathematik Théophile Chaumont-Frelet, Alexandre Ern, Martin Vohralík
2021	J	`jnl`	Quasi-static crack propagation with a Griffith criterion using a discrete element method. CoRR Frédéric Marazzato, Alexandre Ern, Laurent Monasse
2021	J	`jnl`	Robust and reliable finite element methods in poromechanics. Comput. Math. Appl. Fleurianne Bertrand, Alexandre Ern, Florin Adrian Radu
2021	J	`jnl`	SoftFEM: Revisiting the spectral finite element approximation of second-order elliptic operators. Comput. Math. Appl. Quanling Deng, Alexandre Ern
2020	J	`jnl`	A Hybrid High-Order Discretization Combined with Nitsche's Method for Contact and Tresca Friction in Small Strain Elasticity. SIAM J. Sci. Comput. Franz Chouly, Alexandre Ern, Nicolas Pignet
2020	J	`jnl`	An explicit pseudo-energy conserving time-integration scheme for Hamiltonian dynamics. CoRR Frédéric Marazzato, Alexandre Ern, Christian Mariotti, Laurent Monasse
2020	J	`jnl`	Hybrid High-Order Methods for the Elliptic Obstacle Problem. J. Sci. Comput. Matteo Cicuttin, Alexandre Ern, Thirupathi Gudi
2020	J	`jnl`	Polynomial-degree-robust H(curl)-stability of discrete minimization in a tetrahedron. CoRR Théophile Chaumont-Frelet, Alexandre Ern, Martin Vohralík
2020	J	`jnl`	SoftFEM: revisiting the spectral finite element approximation of elliptic operators. CoRR Quanling Deng, Alexandre Ern
2020	J	`jnl`	Stable broken H Math. Comput. Alexandre Ern, Martin Vohralík
2020	J	`jnl`	Stable broken H(curl) polynomial extensions and p-robust quasi-equilibrated a posteriori estimators for Maxwell's equations. CoRR Théophile Chaumont-Frelet, Alexandre Ern, Martin Vohralík
2019	—	`conf`	A Hybrid High-Order Method for Flow Simulations in Discrete Fracture Networks. ENUMATH Florent Hédin, Géraldine Pichot, Alexandre Ern
2019	J	`jnl`	A Hybrid High-Order Method for Highly Oscillatory Elliptic Problems. Comput. Methods Appl. Math. Matteo Cicuttin, Alexandre Ern, Simon Lemaire
2019	J	`jnl`	A Hybrid High-Order method for finite elastoplastic deformations within a logarithmic strain framework. CoRR Mickaël Abbas, Alexandre Ern, Nicolas Pignet
2019	J	`jnl`	A consistent discrete element method for quasi-static and dynamic elasto-plasticity. CoRR Frédéric Marazzato, Alexandre Ern, Laurent Monasse
2019	J	`jnl`	An adaptive stabilized finite element method based on residual minimization. CoRR Victor M. Calo, Alexandre Ern, Ignacio Muga, Sergio Rojas
2019	J	`jnl`	Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal hp approximation estimates in H(div). CoRR Alexandre Ern, Thirupathi Gudi, Iain Smears, Martin Vohralík
2019	J	`jnl`	Preface: Special Issue on Model Reduction. J. Sci. Comput. Tony Lelièvre, Simona Perotto, Gianluigi Rozza, Daniele A. Di Pietro, Alexandre Ern, Luca Formaggia
2019	J	`jnl`	Spectral approximation of elliptic operators by the Hybrid High-Order method. Math. Comput. Victor M. Calo, Matteo Cicuttin, Quanling Deng, Alexandre Ern
2019	—	`conf`	The Unfitted HHO Method for the Stokes Problem on Curved Domains. ENUMATH Erik Burman, Guillaume Delay, Alexandre Ern
2018	J	`jnl`	A Hybrid High-Order method for incremental associative plasticity with small deformations. CoRR Mickaël Abbas, Alexandre Ern, Nicolas Pignet
2018	J	`jnl`	A Progressive Reduced Basis/Empirical Interpolation Method for Nonlinear Parabolic Problems. SIAM J. Sci. Comput. Amina Benaceur, Virginie Ehrlacher, Alexandre Ern, Sébastien Meunier
2018	J	`jnl`	Abstract Nonconforming Error Estimates and Application to Boundary Penalty Methods for Diffusion Equations and Time-Harmonic Maxwell's Equations. Comput. Methods Appl. Math. Alexandre Ern, Jean-Luc Guermond
2018	J	`jnl`	An Unfitted Hybrid High-Order Method for Elliptic Interface Problems. SIAM J. Numer. Anal. Erik Burman, Alexandre Ern
2018	J	`jnl`	An adaptive hp-refinement strategy with computable guaranteed bound on the error reduction factor. Comput. Math. Appl. Patrik Daniel, Alexandre Ern, Iain Smears, Martin Vohralík
2018	J	`jnl`	Analysis of the edge finite element approximation of the Maxwell equations with low regularity solutions. Comput. Math. Appl. Alexandre Ern, Jean-Luc Guermond
2018	J	`jnl`	Hybrid Discretization Methods with Adaptive Yield Surface Detection for Bingham Pipe Flows. J. Sci. Comput. Karol L. Cascavita, Jérémy Bleyer, Xavier Chateau, Alexandre Ern
2018	J	`jnl`	Implementation of Discontinuous Skeletal methods on arbitrary-dimensional, polytopal meshes using generic programming. J. Comput. Appl. Math. Matteo Cicuttin, Daniele A. Di Pietro, Alexandre Ern
2017	J	`jnl`	Guaranteed, Locally Space-Time Efficient, and Polynomial-Degree Robust a Posteriori Error Estimates for High-Order Discretizations of Parabolic Problems. SIAM J. Numer. Anal. Alexandre Ern, Iain Smears, Martin Vohralík
2017	J	`jnl`	Hybrid High-Order methods for finite deformations of hyperelastic materials. CoRR Mickaël Abbas, Alexandre Ern, Nicolas Pignet
2017	J	`jnl`	Stress and flux reconstruction in Biot's poro-elasticity problem with application to a posteriori error analysis. Comput. Math. Appl. Rita Riedlbeck, Daniele A. Di Pietro, Alexandre Ern, Sylvie Granet, Kyrylo Kazymyrenko
2017	J	`jnl`	Two-dimensional simulation by regularization of free surface viscoplastic flows with Drucker-Prager yield stress and application to granular collapse. J. Comput. Phys. Christelle Lusso, Alexandre Ern, François Bouchut, Anne Mangeney, Maxime Farin, Olivier Roche
2016	J	`jnl`	A vertex-based scheme on polyhedral meshes for advection-reaction equations with sub-mesh stabilization. Comput. Math. Appl. Pierre Cantin, Jérôme Bonelle, Erik Burman, Alexandre Ern
2016	J	`jnl`	Discontinuous Galerkin method in time combined with a stabilized finite element method in space for linear first-order PDEs. Math. Comput. Alexandre Ern, Friedhelm Schieweck
2016	J	`jnl`	Mollification in Strongly Lipschitz Domains with Application to Continuous and Discrete De Rham Complexes. Comput. Methods Appl. Math. Alexandre Ern, Jean-Luc Guermond
2016	J	`jnl`	Variants of the Empirical Interpolation Method: Symmetric formulation, choice of norms and rectangular extension. Appl. Math. Lett. Fabien Casenave, Alexandre Ern, Tony Lelièvre
2016	J	`jnl`	Vertex-Based Compatible Discrete Operator Schemes on Polyhedral Meshes for Advection-Diffusion Equations. Comput. Methods Appl. Math. Pierre Cantin, Alexandre Ern
2016	J	`jnl`	hp-Adaptation Driven by Polynomial-Degree-Robust A Posteriori Error Estimates for Elliptic Problems. SIAM J. Sci. Comput. Vít Dolejsí, Alexandre Ern, Martin Vohralík
2015	J	`jnl`	A Discontinuous-Skeletal Method for Advection-Diffusion-Reaction on General Meshes. SIAM J. Numer. Anal. Daniele A. Di Pietro, Jérôme Droniou, Alexandre Ern
2015	J	`jnl`	A linear-time approximate convex envelope algorithm using the double Legendre-Fenchel transform with application to phase separation. Comput. Optim. Appl. Lorenzo Contento, Alexandre Ern, Rossana Vermiglio
2015	J	`jnl`	A nonintrusive reduced basis method applied to aeroacoustic simulations. Adv. Comput. Math. Fabien Casenave, Alexandre Ern, Tony Lelièvre
2015	J	`jnl`	A time semi-implicit scheme for the energy-balanced coupling of a shocked fluid flow with a deformable structure. J. Comput. Phys. Maria Adela Puscas, Laurent Monasse, Alexandre Ern, Christian Tenaud, Christian Mariotti, Virginie Daru
2015	J	`jnl`	Low-order reconstruction operators on polyhedral meshes: application to compatible discrete operator schemes. Comput. Aided Geom. Des. Jérôme Bonelle, Daniele A. Di Pietro, Alexandre Ern
2015	J	`jnl`	Polynomial-Degree-Robust A Posteriori Estimates in a Unified Setting for Conforming, Nonconforming, Discontinuous Galerkin, and Mixed Discretizations. SIAM J. Numer. Anal. Alexandre Ern, Martin Vohralík
2014	J	`jnl`	An Arbitrary-Order and Compact-Stencil Discretization of Diffusion on General Meshes Based on Local Reconstruction Operators. Comput. Methods Appl. Math. Daniele A. Di Pietro, Alexandre Ern, Simon Lemaire
2014	J	`jnl`	Analysis of Compatible Discrete Operator Schemes for the Stokes Equations on Polyhedral Meshes. CoRR Jerome Bonelle, Alexandre Ern
2014	J	`jnl`	Coupled BEM-FEM for the convected Helmholtz equation with non-uniform flow in a bounded domain. J. Comput. Phys. Fabien Casenave, Alexandre Ern, Guillaume Sylvand
2013	J	`jnl`	A Framework for Robust A Posteriori Error Control in Unsteady Nonlinear Advection-Diffusion Problems. SIAM J. Numer. Anal. Vít Dolejsí, Alexandre Ern, Martin Vohralík
2013	J	`jnl`	Adaptive Inexact Newton Methods with A Posteriori Stopping Criteria for Nonlinear Diffusion PDEs. SIAM J. Sci. Comput. Alexandre Ern, Martin Vohralík
2013	J	`jnl`	Weighting the Edge Stabilization. SIAM J. Numer. Anal. Alexandre Ern, Jean-Luc Guermond
2012	J	`jnl`	Adaptive Anisotropic Spectral Stochastic Methods for Uncertain Scalar Conservation Laws. SIAM J. Sci. Comput. J. Tryoen, Olivier P. Le Maître, Alexandre Ern
2011	J	`jnl`	Analysis of the Modified Mass Method for the Dynamic Signorini Problem with Coulomb Friction. SIAM J. Numer. Anal. David Doyen, Alexandre Ern
2011	J	`jnl`	Time-Integration Schemes for the Finite Element Dynamic Signorini Problem. SIAM J. Sci. Comput. David Doyen, Alexandre Ern, Serge Piperno
2010	J	`jnl`	A Posteriori Error Estimation Based on Potential and Flux Reconstruction for the Heat Equation. SIAM J. Numer. Anal. Alexandre Ern, Martin Vohralík
2010	J	`jnl`	Discrete functional analysis tools for Discontinuous Galerkin methods with application to the incompressible Navier-Stokes equations. Math. Comput. Daniele A. Di Pietro, Alexandre Ern
2010	J	`jnl`	Explicit Runge-Kutta Schemes and Finite Elements with Symmetric Stabilization for First-Order Linear PDE Systems. SIAM J. Numer. Anal. Erik Burman, Alexandre Ern, Miguel A. Fernández
2010	J	`jnl`	Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection-diffusion-reaction problems. J. Comput. Appl. Math. Alexandre Ern, Annette F. Stephansen, Martin Vohralík
2010	J	`jnl`	Hierarchical Local Model Reduction for Elliptic Problems: A Domain Decomposition Approach. Multiscale Model. Simul. Simona Perotto, Alexandre Ern, Alessandro Veneziani
2010	J	`jnl`	Intrusive Galerkin methods with upwinding for uncertain nonlinear hyperbolic systems. J. Comput. Phys. J. Tryoen, Olivier P. Le Maître, Michael Ndjinga, Alexandre Ern
2010	J	`jnl`	Roe solver with entropy corrector for uncertain hyperbolic systems. J. Comput. Appl. Math. J. Tryoen, Olivier P. Le Maître, Michael Ndjinga, Alexandre Ern
2009	J	`jnl`	A Posteriori Error Estimation for Subgrid Flamelet Models. Multiscale Model. Simul. Anne Bourlioux, Alexandre Ern, Pascal Turbis
2009	J	`jnl`	A posteriori error estimates for subgrid viscosity stabilized approximations of convection-diffusion equations. Appl. Math. Lett. Boujemâa Achchab, Mohamed El Fatini, Alexandre Ern, Ali Souissi
2008	J	`jnl`	Discontinuous Galerkin Methods for Anisotropic Semidefinite Diffusion with Advection. SIAM J. Numer. Anal. Daniele A. Di Pietro, Alexandre Ern, Jean-Luc Guermond
2008	J	`jnl`	Discontinuous Galerkin Methods for Friedrichs' Systems. Part III. Multifield Theories with Partial Coercivity. SIAM J. Numer. Anal. Alexandre Ern, Jean-Luc Guermond
2007	J	`jnl`	Continuous interior penalty Math. Comput. Erik Burman, Alexandre Ern
2006	J	`jnl`	Discontinuous Galerkin Methods for Friedrichs' Systems. I. General theory. SIAM J. Numer. Anal. Alexandre Ern, Jean-Luc Guermond
2006	J	`jnl`	Discontinuous Galerkin Methods for Friedrichs' Systems. Part II. Second-order Elliptic PDEs. SIAM J. Numer. Anal. Alexandre Ern, Jean-Luc Guermond
2005	J	`jnl`	A posteriori discontinuous Galerkin error estimates for transient convection-diffusion equations. Appl. Math. Lett. Alexandre Ern, Jennifer Proft
2005	J	`jnl`	Analysis and simulation of a coupled hyperbolic/parabolic model problem. J. Num. Math. Jean-Pierre Croisille, Alexandre Ern, Tony Lelièvre, Jennifer Proft
2005	J	`jnl`	Stabilized Galerkin approximation of convection-diffusion-reaction equations: discrete maximum principle and convergence. Math. Comput. Erik Burman, Alexandre Ern
2003	J	`jnl`	A Posteriori Control of Modeling Errors and Discretization Errors. Multiscale Model. Simul. Malte Braack, Alexandre Ern
1997	J	`jnl`	Multigrid Solution of Flame Sheet Problems on Serial and Parallel Computers. Parallel Algorithms Appl. Craig C. Douglas, Alexandre Ern, Mitchell D. Smooke
1996	—	`ch.`	Numerical Simulation of Laminar Diffusion Flames. Applications on Advanced Architecture Computers Craig C. Douglas, Alexandre Ern, Mitchell D. Smooke
1995	J	`jnl`	Detailed Chemistry Modeling of Laminar Diffusion Flames On Parallel Computers. Int. J. High Perform. Comput. Appl. Alexandre Ern, Craig C. Douglas, Mitchell D. Smooke
1994	J	`jnl`	Towards Polyalgorithmic Linear System Solvers for Nonlinear Elliptic Problems. SIAM J. Sci. Comput. Alexandre Ern, Vincent Giovangigli, David E. Keyes, Mitchell D. Smooke