World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
30
Citations
3966
World Ranking
3514
National Ranking
215

Overview

Jérôme Droniou is affiliated with Monash University in Australia and works primarily in the fields of Engineering and Computer Science. Their research contributions span computational mechanics, numerical analysis, and mechanical engineering.

The scientist has authored a significant number of papers focused on advanced numerical methods and mathematical modeling. Key fields of study include:

  • Engineering
  • Computer Science

Their work further specializes in subfields such as:

  • Computational Mechanics
  • Computational Theory and Mathematics
  • Mechanics of Materials
  • Numerical Analysis
  • Electrical and Electronic Engineering

Droniou's research addresses various topics including:

  • Advanced Numerical Methods in Computational Mathematics
  • Advanced Mathematical Modeling in Engineering
  • Numerical methods in engineering
  • Electromagnetic Simulation and Numerical Methods
  • Computational Fluid Dynamics and Aerodynamics
  • Numerical methods for differential equations
  • Hydraulic Fracturing and Reservoir Analysis

Among recent publications are works related to numerical methods on polyhedral meshes and discrete de Rham complexes:

  • Arbitrary-order pressure-robust DDR and VEM methods for the Stokes problem on polyhedral meshes, 2022, Computer Methods in Applied Mechanics and Engineering
  • Fully discrete polynomial de Rham sequences of arbitrary degree on polygons and polyhedra, 2020, Mathematical Models and Methods in Applied Sciences
  • An arbitrary-order discrete de Rham complex on polyhedral meshes: Exactness, Poincaré inequalities, and consistency, 2021, arXiv (Cornell University)
  • An arbitrary-order method for magnetostatics on polyhedral meshes based on a discrete de Rham sequence, 2020, Journal of Computational Physics
  • Gradient discretization of two-phase flows coupled with mechanical deformation in fractured porous media, 2021, Computers & Mathematics with Applications

Jérôme Droniou has contributed to the publication of a book titled The Hybrid High-Order Method for Polytopal Meshes (2020), published by Modeling, simulation & applications.

Their frequent collaborators include:

  • Daniele A. Di Pietro
  • Roland Masson
  • Francesco Bonaldi
  • Konstantin Brenner
  • Liam Yemm

Typical venues for Droniou's work encompass:

  • arXiv (Cornell University)
  • Journal of Computational Physics
  • Computer Methods in Applied Mechanics and Engineering
  • IMA Journal of Numerical Analysis
  • Computers & Mathematics with Applications

Best Publications

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

    Jerome Droniou;Robert Eymard;Thierry Gallouet;Raphaele Herbin

  • FINITE VOLUME SCHEMES FOR DIFFUSION EQUATIONS: INTRODUCTION TO AND REVIEW OF MODERN METHODS

    Jerome Droniou

  • A mixed finite volume scheme for anisotropic diffusion problems on any grid

    Jérôme Droniou;Robert Eymard

  • Fractal first-order partial differential equations

    Jérôme Droniou;Cyril Imbert

  • The Hybrid High-Order Method for Polytopal Meshes: Design, Analysis, and Applications

    Daniele Antonio Di Pietro;Jérôme Droniou

  • 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

  • Parabolic Capacity and Soft Measures for Nonlinear Equations

    Jérôme Droniou;Alessio Porretta;Alain Prignet

  • A Hybrid High-Order method for Leray–Lions elliptic equations on general meshes

    Daniele Antonio Di Pietro;Jérôme Droniou

  • 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

  • Construction and Convergence Study of Schemes Preserving the Elliptic Local Maximum Principle

    Jérôme Droniou;Christophe Le Potier

  • The Gradient Discretisation Method

    Unknown

  • OCCURRENCE AND NON-APPEARANCE OF SHOCKS IN FRACTAL BURGERS EQUATIONS

    Nathaël Alibaud;Jérôme Droniou;Julien Vovelle

  • Equivalence between entropy and renormalized solutions for parabolic equations with smooth measure data

    Jérôme Droniou;Alain Prignet

  • A Discontinuous-Skeletal Method for Advection-Diffusion-Reaction on General Meshes

    Daniele Antonio Di Pietro;Jerome Droniou;Alexandre Ern

  • Study of the mixed finite volume method for Stokes and Navier‐Stokes equations

    Jérôme Droniou;Robert Eymard

  • The G method for heterogeneous anisotropic diffusion on general meshes

    Léo Agélas;Daniele Antonio Di Pietro;Jérôme Droniou

  • Discontinuous Skeletal Gradient Discretisation Methods on polytopal meshes

    Daniele A. Di Pietro;Jérôme Droniou;Gianmarco Manzini

  • Non-coercive Linear Elliptic Problems

    Jérôme Droniou

  • A numerical method for fractal conservation laws

    Jérôme Droniou

  • A unified approach for handling convection terms in finite volumes and mimetic discretization methods for elliptic problems

    Beirão da Veiga;Jérôme Droniou;Gianmarco Manzini

  • A Hybrid High-Order method for the incompressible Navier–Stokes equations based on Temam's device

    Lorenzo Alessio Botti;Daniele A. Di Pietro;Jérôme Droniou

  • A discontinuous-skeletal method for advection-diffusion-reaction on general meshes

    Daniele A. Di Pietro;Jérôme Droniou;Alexandre Ern

  • Some notes on the article \Construction and convergence study of schemes preserving the elliptic local maximum principle"

    J. Droniou;C. Le Potier;Siam J. Numer

Frequent Co-Authors

Raphaèle Herbin
Raphaèle Herbin Aix-Marseille University
Robert Eymard
Robert Eymard University of Paris-Est
Thierry Gallouët
Thierry Gallouët Aix-Marseille University
Gianmarco Manzini
Gianmarco Manzini Los Alamos National Laboratory
Alexandre Ern
Alexandre Ern École des Ponts ParisTech
Michel Chipot
Michel Chipot University of Zurich
Cyril Imbert
Cyril Imbert École Normale Supérieure
Annan Zhou
Annan Zhou RMIT University
Santiago Badia
Santiago Badia Monash University
Juan Luis Vázquez
Juan Luis Vázquez Autonomous University of Madrid

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