World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
57
Citations
15204
World Ranking
680
National Ranking
345

Engineering and Technology

D-Index
57
Citations
15354
World Ranking
2598
National Ranking
790

Research.com Recognitions

  • 2021 - Fellow of the American Mathematical Society For contributions to computational mathematics, in particular to the theory of finite element methods in partial differential equations.

Overview

Jean-Luc Guermond is affiliated with Texas A&M University in the United States. Their research contributions span engineering, mathematics, and computer science, with a significant focus on computational mechanics, computational theory and mathematics, and numerical analysis. Areas of specialization include applied mathematics, mechanics of materials, and numerical methods for solving differential equations.

The primary topics covered by their work involve advanced numerical methods in computational mathematics, advanced mathematical modeling in engineering, and computational fluid dynamics and aerodynamics. Other key interests include numerical methods in engineering, differential equations and numerical methods, and contact mechanics and variational inequalities.

Frequent collaborators in their research include Alexandre Ern, Bojan Popov, Matthias Maier, Caroline Nore, and Eric Tovar.

Jean-Luc Guermond has authored multiple papers published in notable venues such as Computer Methods in Applied Mechanics and Engineering, arXiv (Cornell University), SIAM Journal on Scientific Computing, SSRN Electronic Journal, and Journal of Fluid Mechanics.

  • Second-order invariant domain preserving approximation of the compressible Navier-Stokes equations, 2020, Computer Methods in Applied Mechanics and Engineering
  • Solutal buoyancy and electrovortex flow in liquid metal batteries, 2020, Physical Review Fluids
  • Efficient mixing by swirling electrovortex flows in liquid metal batteries, 2021, Journal of Fluid Mechanics
  • On the nature of intermittency in a turbulent von Kármán flow, 2021, Journal of Fluid Mechanics
  • Quasi-optimal Nonconforming Approximation of Elliptic PDEs with Contrasted Coefficients and H¹⁺ʳ, r>0, Regularity, 2021, Foundations of Computational Mathematics

Their publications include several books published by Springer Nature and the Centre National de la Recherche Scientifique. Three books titled "Finite Elements I," "Finite Elements II," and "Finite Elements III" were released in 2021 through Springer Nature. Additionally, they authored "Finite Elements I: Approximation and Interpolation" published in 2020 by the Centre National de la Recherche Scientifique.

  • Finite Elements I, 2021, Springer Nature
  • Finite Elements II, 2021, Springer Nature
  • Finite Elements III, 2021, Springer Nature
  • Finite Elements I: Approximation and Interpolation, 2020, Centre National de la Recherche Scientifique

In 2021, Jean-Luc Guermond was named a Fellow of the American Mathematical Society for contributions to computational mathematics, especially in the theory of finite element methods applied to partial differential equations.

Best Publications

  • Theory and practice of finite elements

    Alexandre Ern;Jean-Luc Guermond

  • An overview of projection methods for incompressible flows

    J. L. Guermond;J. L. Guermond;P. Minev;Jie Shen

  • Entropy viscosity method for nonlinear conservation laws

    Jean-Luc Guermond;Richard Pasquetti;Bojan Popov

  • Stabilization of Galerkin approximations of transport equations by subgrid modeling

    Jean-Luc Guermond

  • A projection FEM for variable density incompressible flows

    J.-L. Guermond;L. Quartapelle

  • On the error estimates for the rotational pressure-correction projection methods

    Jean-Luc Guermond;Jie Shen

  • Velocity-Correction Projection Methods for Incompressible Flows

    J. L. Guermond;Jie Shen

  • On stability and convergence of projection methods based on pressure Poisson equation

    J.-L. Guermond;L. Quartapelle

  • Nonlinear corrections to Darcy's law at low Reynolds numbers

    Mouaouia Firdaouss;Jean-Luc Guermond;Patrick Le Quéré

  • A new class of truly consistent splitting schemes for incompressible flows

    J. L. Guermond;Jie Shen

  • On the approximation of the unsteady Navier–Stokes equations by finite element projection methods

    Jean-Luc Guermond;Luigi Quartapelle

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

    A. Ern;J.-L. Guermond

  • A splitting method for incompressible flows with variable density based on a pressure Poisson equation

    J. L. Guermond;Abner Salgado

  • Finite Elements I

    Unknown

  • Finite element quasi-interpolation and best approximation

    Alexandre Ern;Jean-Luc Guermond

  • Mathematical Perspectives on Large Eddy Simulation Models for Turbulent Flows

    J.-L. Guermond;J. T. Oden;S. Prudhomme

  • Calculation of Incompressible Viscous Flows by an Unconditionally Stable Projection FEM

    J.-L. Guermond;L. Quartapelle

  • Convergence Analysis of a Finite Element Projection/Lagrange--Galerkin Method for the Incompressible Navier--Stokes Equations

    Y. Achdou;J.-L. Guermond

  • Error Analysis of Pressure-Correction Schemes for the Time-Dependent Stokes Equations with Open Boundary Conditions

    J. L. Guermond;P. Minev;J. Shen

  • Some implementations of projection methods for Navier-Stokes equations

    Jean-Luc Guermond

  • Invariant Domains and First-Order Continuous Finite Element Approximation for Hyperbolic Systems

    Jean-Luc Guermond;Bojan Popov

Frequent Co-Authors

Alexandre Ern
Alexandre Ern École des Ponts ParisTech
Jie Shen
Jie Shen Eastern Institute of Technology, Ningbo
Friedrich H. Busse
Friedrich H. Busse University of Bayreuth
Frank Stefani
Frank Stefani Helmholtz-Zentrum Dresden-Rossendorf
Rainer Hollerbach
Rainer Hollerbach University of Leeds
Bruce A. Buffett
Bruce A. Buffett University of California, Berkeley
Peter Olson
Peter Olson University of New Mexico
Gunter Gerbeth
Gunter Gerbeth Helmholtz-Zentrum Dresden-Rossendorf
J. T. Oden
J. T. Oden The University of Texas at Austin
Wen Zhong Shen
Wen Zhong Shen Yangzhou University

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