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Thierry Gallouët

Thierry Gallouët

D-Index & Metrics

Mathematics

D-Index
52
Citations
14534
World Ranking
944
National Ranking
47

Overview

Thierry Gallouët is affiliated with Aix-Marseille University in France. Their research primarily focuses on areas intersecting engineering, mathematics, and computer science, encompassing significant contributions to computational mechanics and applied mathematics.

The scientist's work belongs notably to the fields of study including:

  • Engineering
  • Mathematics
  • Computer Science

Within these fields, specific subfields of study and main topics of work include:

  • Computational Mechanics
  • Applied Mathematics
  • Computational Theory and Mathematics
  • Mathematical Physics
  • Numerical Analysis

  • Advanced Numerical Methods in Computational Mathematics
  • Computational Fluid Dynamics and Aerodynamics
  • Advanced Mathematical Modeling in Engineering
  • Navier-Stokes equation solutions
  • Fluid Dynamics and Turbulent Flows
  • Gas Dynamics and Kinetic Theory
  • Numerical methods in inverse problems

Gallouët has published extensively, with papers appearing in several notable journals and conferences. Frequent publication venues include:

  • arXiv (Cornell University)
  • SeMA Journal
  • Mathematics of Computation
  • Computer Methods in Applied Mechanics and Engineering
  • Comptes Rendus Mécanique

Key recent papers by Thierry Gallouët include:

  • Lax-Wendroff consistency of finite volume schemes for systems of non linear conservation laws: extension to staggered schemes, 2021, SeMA Journal
  • A gradient-robust well-balanced scheme for the compressible isothermal Stokes problem, 2020, Computer Methods in Applied Mechanics and Engineering
  • Finite volume schemes and Lax-Wendroff consistency, 2022, Comptes Rendus Mécanique
  • Convergence of the MAC scheme for the incompressible Navier-Stokes equations with variable density and viscosity, 2023, Mathematics of Computation
  • Optimal error bounds for the two-point flux approximation finite volume scheme, 2024, Mathematics of Computation

Gallouët has collaborated frequently with several co-authors, including:

  • Raphaèle Herbin
  • Robert Eymard
  • J.-C. Latché
  • Léa Batteux

The scientist has contributed to book publications as well, with a forthcoming book titled Weak Solutions of Partial Differential Equations to be published by Springer Nature in 2025.

Best Publications

  • Finite Volume Methods

    Robert Eymard;Thierry Gallouët;Raphaèle Herbin

  • An $L^1$ -theory of existence and uniqueness of solutions of nonlinear elliptic equations

    Philippe Bénilan;Lucio Boccardo;Thierry Gallouët;Ron Gariepy

  • Non-linear elliptic and parabolic equations involving measure data

    Lucio Boccardo;Thierry Gallouët

  • Nonlinear Schrödinger evolution equations

    Haim Brezis;T. Gallouet

  • Nonlinear Elliptic Equations with Right Hand Side Measures

    I. Boccardo;T. Gallouet

  • Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces

    Robert Eymard;Thierry Gallouët;Raphaele Herbin

  • Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data

    Lucio Boccardo;Thierry Gallouët;Luigi Orsina

  • Some approximate Godunov schemes to compute shallow-water equations with topography

    Thierry Gallouët;Jean-Marc Hérard;Jean-Marc Hérard;Nicolas Seguin;Nicolas Seguin

  • Nonlinear Parabolic Equations with Measure Data

    Lucio Boccardo;Andrea Dall'Aglio;Thierry Gallouët;Luigi Orsina

  • A UNIFIED APPROACH TO MIMETIC FINITE DIFFERENCE, HYBRID FINITE VOLUME AND MIXED FINITE VOLUME METHODS

    Jerome Droniou;Robert Eymard;Thierry Gallouet;Raphaele Herbin

  • Convergence of a finite volume scheme for nonlinear degenerate parabolic equations

    Robert Eymard;Thierry Gallouët;Raphaèle Herbin;Anthony Michel

  • Nonlinear elliptic equations in RN without growth restrictions on the data

    L. Boccardo;T. Gallouet;J.L. Vazquez

  • Strongly nonlinear elliptic equations having natural growth terms and L 1 data

    L. Boccardo;T. Gallouet

  • A sequel to a rough Godunov scheme: application to real gases

    Thierry Buffard;Thierry Gallouët;Jean-Marc Hérard

  • Error estimates for the approximate solutions of a nonlinear hyperbolic equation given by finite volume schemes

    R Eymard;T Gallouët;M Ghilani;R Herbin

  • A cell-centred finite-volume approximation for anisotropic diffusion operators on unstructured meshes in any space dimension

    Robert Eymard;Thierry Gallouët;Raphaèle Herbin

  • GRADIENT SCHEMES: A GENERIC FRAMEWORK FOR THE DISCRETISATION OF LINEAR, NONLINEAR AND NONLOCAL ELLIPTIC AND PARABOLIC EQUATIONS

    Jerome Droniou;Robert Eymard;Thierry Gallouet;Raphaele Herbin

  • Closure laws for a two-fluid two-pressure model

    Frédéric Coquel;Thierry Gallouët;Jean-Marc Hérard;Nicolas Seguin

  • Existence and nonexistence of solutions for some nonlinear elliptic equations

    Lucio Boccardo;Thierry GallouËt;Luigi Orsina

  • Global solution and smoothing effect for a non-local regularization of a hyperbolic equation

    Jerome Droniou;Thierry Gallouët;Julien Vovelle

  • The Gradient Discretisation Method

    Jérôme Droniou;Robert Eymard;Thierry Gallouët;Cindy Guichard

  • Finite volume method

    Robert Eymard;Herbin;Thierry Gallouët

  • Discretisation of heterogeneous and anisotropic diffusion problems on general non-conforming meshes. SUSHI: a scheme using stabilisation and hybrid interfaces

    Robert Eymard;Thierry Gallouët;Raphaele Herbin

Frequent Co-Authors

Raphaèle Herbin
Raphaèle Herbin Aix-Marseille University
Robert Eymard
Robert Eymard University of Paris-Est
Jérôme Droniou
Jérôme Droniou University of Montpellier
Lucio Boccardo
Lucio Boccardo Sapienza University of Rome
Juan Luis Vázquez
Juan Luis Vázquez Autonomous University of Madrid
Haim Brezis
Haim Brezis Rutgers, The State University of New Jersey
Alessio Porretta
Alessio Porretta University of Rome Tor Vergata

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