Alexandre Ern
According to our database1,
Alexandre Ern
authored at least 101 papers
between 1994 and 2024.
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on id.loc.gov
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on d-nb.info
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Bibliography
2024
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., October, 2024
Asymptotic and Invariant-Domain Preserving Schemes for Scalar Conservation Equations with Stiff Source Terms and Multiple Equilibrium Points.
J. Sci. Comput., September, 2024
A priori and a posteriori analysis of the discontinuous Galerkin approximation of the time-harmonic Maxwell's equations under minimal regularity assumptions.
CoRR, 2024
Discrete Poincaré inequalities: a review on proofs, equivalent formulations, and behavior of constants.
CoRR, 2024
<i>hp</i>-error analysis of mixed-order hybrid high-order methods for elliptic problems on simplicial meshes.
CoRR, 2024
An elasticity-based mesh morphing technique with application to reduced-order modeling.
CoRR, 2024
Damped energy-norm a posteriori error estimates for fully discrete approximations of the wave equation using C2-reconstructions.
CoRR, 2024
2023
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., December, 2023
SIAM J. Sci. Comput., October, 2023
The Unique Continuation Problem for the Heat Equation Discretized with a High-Order Space-Time Nonconforming Method.
SIAM J. Numer. Anal., October, 2023
Asymptotic optimality of the edge finite element approximation of the time-harmonic Maxwell's equations.
CoRR, 2023
A reduced basis method for frictional contact problems formulated with Nitsche's method.
CoRR, 2023
2022
Invariant-Domain-Preserving High-Order Time Stepping: I. Explicit Runge-Kutta Schemes.
SIAM J. Sci. Comput., October, 2022
SIAM J. Numer. Anal., 2022
Stable broken H(curl) polynomial extensions and p-robust a posteriori error estimates by broken patchwise equilibration for the curl-curl problem.
Math. Comput., 2022
Quasi-optimal Nonconforming Approximation of Elliptic PDEs with Contrasted Coefficients and $$H^{1+{r}}$$, $${r}>0$$, Regularity.
Found. Comput. Math., 2022
Local decay rates of best-approximation errors using vector-valued finite elements for fields with low regularity and integrable curl or divergence.
CoRR, 2022
Artificial Compressibility Methods for the Incompressible Navier-Stokes Equations Using Lowest-Order Face-Based Schemes on Polytopal Meshes.
Comput. Methods Appl. Math., 2022
2021
An Unfitted Hybrid High-Order Method with Cell Agglomeration for Elliptic Interface Problems.
SIAM J. Sci. Comput., 2021
A Hybridized High-Order Method for Unique Continuation Subject to the Helmholtz Equation.
SIAM J. Numer. Anal., 2021
On the derivation of guaranteed and p-robust a posteriori error estimates for the Helmholtz equation.
Numerische Mathematik, 2021
Guaranteed lower bounds on eigenvalues of elliptic operators with a hybrid high-order method.
Numerische Mathematik, 2021
J. Sci. Comput., 2021
Hybrid high-order method for singularly perturbed fourth-order problems on curved domains.
CoRR, 2021
CoRR, 2021
Quasi-static crack propagation with a Griffith criterion using a discrete element method.
CoRR, 2021
SoftFEM: Revisiting the spectral finite element approximation of second-order elliptic operators.
Comput. Math. Appl., 2021
Comput. Math. Appl., 2021
2020
A Hybrid High-Order Discretization Combined with Nitsche's Method for Contact and Tresca Friction in Small Strain Elasticity.
SIAM J. Sci. Comput., 2020
Stable broken H<sup>1</sup> and H(div) polynomial extensions for polynomial-degree-robust potential and flux reconstruction in three space dimensions.
Math. Comput., 2020
CoRR, 2020
An explicit pseudo-energy conserving time-integration scheme for Hamiltonian dynamics.
CoRR, 2020
Stable broken H(curl) polynomial extensions and p-robust quasi-equilibrated a posteriori estimators for Maxwell's equations.
CoRR, 2020
Polynomial-degree-robust H(curl)-stability of discrete minimization in a tetrahedron.
CoRR, 2020
2019
Math. Comput., 2019
CoRR, 2019
Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal hp approximation estimates in H(div).
CoRR, 2019
CoRR, 2019
A Hybrid High-Order method for finite elastoplastic deformations within a logarithmic strain framework.
CoRR, 2019
Comput. Methods Appl. Math., 2019
Proceedings of the Numerical Mathematics and Advanced Applications ENUMATH 2019 - European Conference, Egmond aan Zee, The Netherlands, September 30, 2019
Proceedings of the Numerical Mathematics and Advanced Applications ENUMATH 2019 - European Conference, Egmond aan Zee, The Netherlands, September 30, 2019
2018
A Progressive Reduced Basis/Empirical Interpolation Method for Nonlinear Parabolic Problems.
SIAM J. Sci. Comput., 2018
SIAM J. Numer. Anal., 2018
Hybrid Discretization Methods with Adaptive Yield Surface Detection for Bingham Pipe Flows.
J. Sci. Comput., 2018
Implementation of Discontinuous Skeletal methods on arbitrary-dimensional, polytopal meshes using generic programming.
J. Comput. Appl. Math., 2018
A Hybrid High-Order method for incremental associative plasticity with small deformations.
CoRR, 2018
Abstract Nonconforming Error Estimates and Application to Boundary Penalty Methods for Diffusion Equations and Time-Harmonic Maxwell's Equations.
Comput. Methods Appl. Math., 2018
Analysis of the edge finite element approximation of the Maxwell equations with low regularity solutions.
Comput. Math. Appl., 2018
An adaptive hp-refinement strategy with computable guaranteed bound on the error reduction factor.
Comput. Math. Appl., 2018
2017
Guaranteed, Locally Space-Time Efficient, and Polynomial-Degree Robust a Posteriori Error Estimates for High-Order Discretizations of Parabolic Problems.
SIAM J. Numer. Anal., 2017
Two-dimensional simulation by regularization of free surface viscoplastic flows with Drucker-Prager yield stress and application to granular collapse.
J. Comput. Phys., 2017
CoRR, 2017
Stress and flux reconstruction in Biot's poro-elasticity problem with application to a posteriori error analysis.
Comput. Math. Appl., 2017
2016
hp-Adaptation Driven by Polynomial-Degree-Robust A Posteriori Error Estimates for Elliptic Problems.
SIAM J. Sci. Comput., 2016
Discontinuous Galerkin method in time combined with a stabilized finite element method in space for linear first-order PDEs.
Math. Comput., 2016
Mollification in Strongly Lipschitz Domains with Application to Continuous and Discrete De Rham Complexes.
Comput. Methods Appl. Math., 2016
Vertex-Based Compatible Discrete Operator Schemes on Polyhedral Meshes for Advection-Diffusion Equations.
Comput. Methods Appl. Math., 2016
A vertex-based scheme on polyhedral meshes for advection-reaction equations with sub-mesh stabilization.
Comput. Math. Appl., 2016
Variants of the Empirical Interpolation Method: Symmetric formulation, choice of norms and rectangular extension.
Appl. Math. Lett., 2016
2015
SIAM J. Numer. Anal., 2015
Polynomial-Degree-Robust A Posteriori Estimates in a Unified Setting for Conforming, Nonconforming, Discontinuous Galerkin, and Mixed Discretizations.
SIAM J. Numer. Anal., 2015
A time semi-implicit scheme for the energy-balanced coupling of a shocked fluid flow with a deformable structure.
J. Comput. Phys., 2015
A linear-time approximate convex envelope algorithm using the double Legendre-Fenchel transform with application to phase separation.
Comput. Optim. Appl., 2015
Low-order reconstruction operators on polyhedral meshes: application to compatible discrete operator schemes.
Comput. Aided Geom. Des., 2015
Adv. Comput. Math., 2015
2014
Coupled BEM-FEM for the convected Helmholtz equation with non-uniform flow in a bounded domain.
J. Comput. Phys., 2014
Analysis of Compatible Discrete Operator Schemes for the Stokes Equations on Polyhedral Meshes.
CoRR, 2014
An Arbitrary-Order and Compact-Stencil Discretization of Diffusion on General Meshes Based on Local Reconstruction Operators.
Comput. Methods Appl. Math., 2014
2013
Adaptive Inexact Newton Methods with A Posteriori Stopping Criteria for Nonlinear Diffusion PDEs.
SIAM J. Sci. Comput., 2013
A Framework for Robust A Posteriori Error Control in Unsteady Nonlinear Advection-Diffusion Problems.
SIAM J. Numer. Anal., 2013
2012
Adaptive Anisotropic Spectral Stochastic Methods for Uncertain Scalar Conservation Laws.
SIAM J. Sci. Comput., 2012
2011
SIAM J. Sci. Comput., 2011
Analysis of the Modified Mass Method for the Dynamic Signorini Problem with Coulomb Friction.
SIAM J. Numer. Anal., 2011
2010
A Posteriori Error Estimation Based on Potential and Flux Reconstruction for the Heat Equation.
SIAM J. Numer. Anal., 2010
Explicit Runge-Kutta Schemes and Finite Elements with Symmetric Stabilization for First-Order Linear PDE Systems.
SIAM J. Numer. Anal., 2010
Discrete functional analysis tools for Discontinuous Galerkin methods with application to the incompressible Navier-Stokes equations.
Math. Comput., 2010
Hierarchical Local Model Reduction for Elliptic Problems: A Domain Decomposition Approach.
Multiscale Model. Simul., 2010
Intrusive Galerkin methods with upwinding for uncertain nonlinear hyperbolic systems.
J. Comput. Phys., 2010
J. Comput. Appl. Math., 2010
Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection-diffusion-reaction problems.
J. Comput. Appl. Math., 2010
2009
Multiscale Model. Simul., 2009
A posteriori error estimates for subgrid viscosity stabilized approximations of convection-diffusion equations.
Appl. Math. Lett., 2009
2008
Discontinuous Galerkin Methods for Anisotropic Semidefinite Diffusion with Advection.
SIAM J. Numer. Anal., 2008
Discontinuous Galerkin Methods for Friedrichs' Systems. Part III. Multifield Theories with Partial Coercivity.
SIAM J. Numer. Anal., 2008
2007
Continuous interior penalty <i>hp</i>-finite element methods for advection and advection-diffusion equations.
Math. Comput., 2007
2006
Discontinuous Galerkin Methods for Friedrichs' Systems. Part II. Second-order Elliptic PDEs.
SIAM J. Numer. Anal., 2006
SIAM J. Numer. Anal., 2006
2005
Stabilized Galerkin approximation of convection-diffusion-reaction equations: discrete maximum principle and convergence.
Math. Comput., 2005
J. Num. Math., 2005
A posteriori discontinuous Galerkin error estimates for transient convection-diffusion equations.
Appl. Math. Lett., 2005
2003
Multiscale Model. Simul., 2003
1997
Parallel Algorithms Appl., 1997
1996
Proceedings of the Applications on Advanced Architecture Computers, 1996
1995
Int. J. High Perform. Comput. Appl., 1995
1994
SIAM J. Sci. Comput., 1994