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
2311
National Ranking
37

Alexandre Ern publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Alexandre Ern sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 360 publications — 91st percentile

91% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Alexandre Ern D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Alexandre Ern sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 57 D-Index — 82nd percentile

82% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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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