World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
57
Citations
15184
World Ranking
681
National Ranking
31

Engineering and Technology

D-Index
59
Citations
15682
World Ranking
2309
National Ranking
36

Overview

Alexandre Ern is affiliated with the École des Ponts ParisTech in France. Their research spans multiple fields including engineering, computer science, and mathematics, with a strong focus on computational mechanics and numerical analysis.

The primary research topics covered by Alexandre Ern include:

  • Advanced Numerical Methods in Computational Mathematics
  • Advanced Mathematical Modeling in Engineering
  • Numerical methods in engineering
  • Numerical methods for differential equations
  • Electromagnetic Simulation and Numerical Methods
  • Contact Mechanics and Variational Inequalities
  • Computational Fluid Dynamics and Aerodynamics

Frequent co-authors working with Alexandre Ern are:

  • Jean-Luc Guermond
  • Théophile Chaumont-Frelet
  • Matteo Cicuttin
  • Nicolas Pignet
  • Erik Burman

The scientist has contributed extensively to notable publication venues, including:

  • arXiv (Cornell University)
  • HAL (Le Centre pour la Communication Scientifique Directe)
  • SIAM Journal on Scientific Computing
  • SIAM Journal on Numerical Analysis
  • IMA Journal of Numerical Analysis

Recent papers authored or co-authored by Alexandre Ern include:

  • "An Unfitted Hybrid High-Order Method with Cell Agglomeration for Elliptic Interface Problems", 2021, SIAM Journal on Scientific Computing
  • "An adaptive stabilized conforming finite element method via residual minimization on dual discontinuous Galerkin norms", 2020, Computer Methods in Applied Mechanics and Engineering
  • "A Hybrid High-Order Discretization Combined with Nitsche's Method for Contact and Tresca Friction in Small Strain Elasticity", 2020, SIAM Journal on Scientific Computing
  • "Hybrid High-Order and Weak Galerkin Methods for the Biharmonic Problem", 2022, SIAM Journal on Numerical Analysis
  • "Convergence Analysis of Hybrid High-Order Methods for the Wave Equation", 2021, Journal of Scientific Computing

Regarding published books, Alexandre Ern has multiple contributions primarily with Springer Nature and other scientific publishers. Published works include:

  • Finite Elements I (2021)
  • Finite Elements II (2021)
  • Finite Elements III (2021)
  • Finite Elements I: Approximation and Interpolation (2020)
  • Hybrid High-Order Methods (2021)

Best Publications

  • Theory and practice of finite elements

    Alexandre Ern;Jean-Luc Guermond

  • Mathematical Aspects of Discontinuous Galerkin Methods

    Daniele Antonio Di Pietro;Alexandre Ern

  • Multicomponent transport algorithms

    Alexandre Ern;Vincent Giovangigli

  • A hybrid high-order locking-free method for linear elasticity on general meshes

    Daniele Antonio Di Pietro;Alexandre Ern

  • An arbitrary-order and compact-stencil discretization of diffusion on general meshes based on local reconstruction operators

    Daniele Antonio Di Pietro;Alexandre Ern;Simon Lemaire

  • A discontinuous Galerkin method with weighted averages for advection–diffusion equations with locally small and anisotropic diffusivity

    Alexandre Ern;Annette F. Stephansen;Paolo Zunino

  • A Posteriori Control of Modeling Errors and Discretization Errors

    Malte Braack;Alexandre Ern

  • Continuous interior penalty hp-finite element methods for advection and advection-diffusion equations

    Erik Burman;Alexandre Ern

  • Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods

    Bernardo Cockburn;Daniele A. Di Pietro;Alexandre Ern

  • Discontinuous Galerkin Methods for Friedrichs' Systems. I. General theory

    A. Ern;J.-L. Guermond

  • Fast and accurate multicomponent transport property evaluation

    Alexandre Ern;Vincent Giovangigli

  • Thermal diffusion effects in hydrogen-air and methane-air flames

    Alexandre Ern;Vincent Giovangigli

  • Polynomial-Degree-Robust A Posteriori Estimates in a Unified Setting for Conforming, Nonconforming, Discontinuous Galerkin, and Mixed Discretizations

    Alexandre Ern;Martin Vohralík

  • Discrete functional analysis tools for Discontinuous Galerkin methods with application to the incompressible Navier–Stokes equations

    Daniele Antonio Di Pietro;Alexandre Ern

  • Adaptive Inexact Newton Methods with A Posteriori Stopping Criteria for Nonlinear Diffusion PDEs

    Alexandre Ern;Martin Vohralík

  • Finite Elements I

    Unknown

  • Finite element quasi-interpolation and best approximation

    Alexandre Ern;Jean-Luc Guermond

  • Intrusive Galerkin methods with upwinding for uncertain nonlinear hyperbolic systems

    J. Tryoen;O. Le Maítre;M. Ndjinga;A. Ern

  • A well‐balanced Runge–Kutta discontinuous Galerkin method for the shallow‐water equations with flooding and drying

    Alexandre Ern;Serge Piperno;Karim Djadel

  • Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection-diffusion-reaction problems

    Alexandre Ern;Annette F. Stephansen;Martin Vohralík

  • Stabilized Galerkin approximation of convection-diffusion-reaction equations: Discrete maximum principle and convergence

    Erik Burman;Alexandre Ern

Frequent Co-Authors

Jean-Luc Guermond
Jean-Luc Guermond Texas A&M University
Martin Vohralík
Martin Vohralík French Institute for Research in Computer Science and Automation - INRIA
Erik Burman
Erik Burman University College London
Tony Lelièvre
Tony Lelièvre École des Ponts ParisTech
Mitchell D. Smooke
Mitchell D. Smooke Yale University
Victor M. Calo
Victor M. Calo Curtin University
François Bouchut
François Bouchut Université Gustave Eiffel
Marc Bernacki
Marc Bernacki Mines ParisTech
Anne Mangeney
Anne Mangeney Institut de Physique du Globe de Paris
Luca Formaggia
Luca Formaggia Polytechnic University of Milan

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