Jérôme Droniou

Publication Activity (10 Years)

Years Active: 2003-2024
Publications (10 Years): 73

Top Topics

Numerical Scheme

Top Venues

J. Comput. Phys.

SIAM J. Numer. Anal.

Numerische Mathematik

Publications

Jérôme Droniou, Ali Haidar, Roland Masson
Analysis of a VEM-fully discrete polytopal scheme with bubble stabilisation for contact mechanics with Tresca friction. CoRR (2024)
Jérôme Droniou, Gianmarco Manzini, Liam Yemm
The eXtended Virtual Element Method for elliptic problems with weakly singular solutions. CoRR (2024)
Jérôme Droniou, Mohamed Laaziri, Roland Masson
Discretisations of mixed-dimensional Thermo-Hydro-Mechanical models preserving energy estimates. J. Comput. Phys. 515 (2024)
Francesco Bonaldi, Jérôme Droniou, Roland Masson
Numerical analysis of a mixed-dimensional poromechanical model with frictionless contact at matrix-fracture interfaces. Math. Comput. 93 (349) (2024)
Jérôme Droniou, Mohamed Laaziri, Roland Masson
Discretisations of mixed-dimensional Thermo-Hydro-Mechanical models preserving energy estimates. CoRR (2024)
Daniele A. Di Pietro, Jérôme Droniou, Jia Jia Qian
A pressure-robust Discrete de Rham scheme for the Navier-Stokes equations. CoRR (2024)
Jérôme Droniou, Marien Hanot, Todd A. Oliynyk
A polytopal discrete de Rham complex on manifolds, with application to the Maxwell equations. CoRR (2024)
Francesco Bonaldi, Daniele A. Di Pietro, Jérôme Droniou, Kaibo Hu
An exterior calculus framework for polytopal methods. CoRR (2023)
Jérôme Droniou, Robert Eymard, Thierry Gallouët, Cindy Guichard, Raphaèle Herbin
Optimal error estimates for non-conforming approximations of linear parabolic problems with minimal regularity. CoRR (2023)
Jérôme Droniou, Jia Jia Qian
Two arbitrary-order constraint-preserving schemes for the Yang-Mills equations on polyhedral meshes. CoRR (2023)
Jérôme Droniou, Todd A. Oliynyk, Jia Jia Qian
A polyhedral discrete de Rham numerical scheme for the Yang-Mills equations. J. Comput. Phys. 478 (2023)
Jérôme Droniou, Guillaume Enchéry, Isabelle Faille, Ali Haidar, Roland Masson
A bubble VEM-fully discrete polytopal scheme for mixed-dimensional poromechanics with frictional contact at matrix fracture interfaces. CoRR (2023)
Daniele A. Di Pietro, Jérôme Droniou
An Arbitrary-Order Discrete de Rham Complex on Polyhedral Meshes: Exactness, Poincaré Inequalities, and Consistency. Found. Comput. Math. 23 (1) (2023)
Daniele A. Di Pietro, Jérôme Droniou
A polytopal method for the Brinkman problem robust in all regimes. CoRR (2023)
Jérôme Droniou, Muhammad Awais Khan, Kim-Ngan Le
Numerical analysis of the stochastic Stefan problem. CoRR (2023)
Francesco Bonaldi, Jérôme Droniou, Roland Masson
Numerical analysis of a mixed-dimensional poromechanical model with frictionless contact at matrix-fracture interfaces. CoRR (2022)
Francesco Bonaldi, Jérôme Droniou, Roland Masson, Antoine Pasteau
Energy-stable discretization of two-phase flows in deformable porous media with frictional contact at matrix-fracture interfaces. J. Comput. Phys. 455 (2022)
Jérôme Droniou, Liam Yemm
Robust Hybrid High-Order Method on Polytopal Meshes with Small Faces. Comput. Methods Appl. Math. 22 (1) (2022)
Daniele A. Di Pietro, Jérôme Droniou
Homological- and analytical-preserving serendipity framework for polytopal complexes, with application to the DDR method. CoRR (2022)
Santiago Badia, Jérôme Droniou, Liam Yemm
Conditioning of a Hybrid High-Order Scheme on Meshes with Small Faces. J. Sci. Comput. 92 (2) (2022)
Daniele A. Di Pietro, Jérôme Droniou
A discrete de Rham method for the Reissner-Mindlin plate bending problem on polygonal meshes. Comput. Math. Appl. 125 (2022)
Daniele A. Di Pietro, Jérôme Droniou
A fully discrete plates complex on polygonal meshes with application to the Kirchhoff-Love problem. Math. Comput. 92 (339) (2022)
Nour Dahmen, Jérôme Droniou, François Rogier
A cost-effective nonlinear extremum-preserving finite volume scheme for highly anisotropic diffusion on Cartesian grids, with application to radiation belt dynamics. J. Comput. Phys. 463 (2022)
Jérôme Droniou, Liam Yemm
A Hybrid High-Order scheme for the stationary, incompressible magnetohydrodynamics equations. CoRR (2022)
Jérôme Droniou, Todd A. Oliynyk, Jia Jia Qian
A polyhedral discrete de Rham numerical scheme for the Yang-Mills equations. CoRR (2022)
Hanz Martin Cheng, Jérôme Droniou, Kim-Ngan Le
A combined GDM-ELLAM-MMOC scheme for advection dominated PDEs. J. Comput. Appl. Math. 404 (2022)
Daniele A. Di Pietro, Jérôme Droniou, Silvano Pitassi
Cohomology of the discrete de Rham complex on domains of general topology. CoRR (2022)
Daniele A. Di Pietro, Jérôme Droniou
An arbitrary-order method for magnetostatics on polyhedral meshes based on a discrete de Rham sequence. J. Comput. Phys. 429 (2021)
Francesco Bonaldi, Jérôme Droniou, Roland Masson, Antoine Pasteau
Energy-stable discretization of two-phase flows in deformable porous media with frictional contact at matrix-fracture interfaces. CoRR (2021)
Francesco Bonaldi, Konstantin Brenner, Jérôme Droniou, Roland Masson
Gradient discretization of two-phase flows coupled with mechanical deformation in fractured porous media. Comput. Math. Appl. 98 (2021)
Jérôme Droniou, Liam Yemm
Robust Hybrid High-Order method on polytopal meshes with small faces. CoRR (2021)
Jérôme Droniou, Neela Nataraj, Devika Shylaja
Hessian discretisation method for fourth-order semi-linear elliptic equations: applications to the von Kármán and Navier-Stokes models. Adv. Comput. Math. 47 (2) (2021)
Santiago Badia, Jérôme Droniou, Liam Yemm
Conditioning of a Hybrid High-Order scheme on meshes with small faces. CoRR (2021)
Nour Dahmen, Jérôme Droniou, François Rogier
A cost-effective nonlinear extremum-preserving finite volume scheme for highly anisotropic diffusion on Cartesian grids, with application to radiation belt dynamics. CoRR (2021)
Daniele Antonio Di Pietro, Jérôme Droniou
An arbitrary-order discrete de Rham complex on polyhedral meshes. Part II: Consistency. CoRR (2021)
Daniele A. Di Pietro, Jérôme Droniou
A DDR method for the Reissner-Mindlin plate bending problem on polygonal meshes. CoRR (2021)
Daniele Antonio Di Pietro, Jérôme Droniou
An arbitrary-order discrete de Rham complex on polyhedral meshes: Exactness, Poincaré inequalities, and consistency. CoRR (2021)
Daniele A. Di Pietro, Jérôme Droniou
A fully discrete plates complex on polygonal meshes with application to the Kirchhoff-Love problem. CoRR (2021)
Lourenço Beirão da Veiga, Franco Dassi, Daniele A. Di Pietro, Jérôme Droniou
Arbitrary-order pressure-robust DDR and VEM methods for the Stokes problem on polyhedral meshes. CoRR (2021)
Jérôme Droniou, Beniamin Goldys, Kim-Ngan Le
Design and convergence analysis of numerical methods for stochastic evolution equations with Leray-Lions operator. CoRR (2020)
Francesco Bonaldi, Konstantin Brenner, Jérôme Droniou, Roland Masson
Gradient discretization of two-phase flows coupled with mechanical deformation in fractured porous media. CoRR (2020)
Jérôme Droniou, Neela Nataraj, Devika Shylaja
Hessian discretisation method for fourth order semi-linear elliptic equations: applications to the von Kármán and Navier-Stokes models. CoRR (2020)
Francesco Bonaldi, Konstantin Brenner, Jérôme Droniou, Roland Masson, Antoine Pasteau, Laurent Trenty
Gradient discretization of two-phase poro-mechanical models with discontinuous pressures at matrix fracture interfaces. CoRR (2020)
Daniele Antonio Di Pietro, Jérôme Droniou, André Harnist
Improved error estimates for Hybrid High-Order discretizations of Leray-Lions problems. CoRR (2020)
Jérôme Droniou, Kim-Ngan Le
The Gradient Discretization Method for Slow and Fast Diffusion Porous Media Equations. SIAM J. Numer. Anal. 58 (3) (2020)
Jérôme Droniou, Robert Eymard
Uniform-in-time convergence of numerical methods for non-linear degenerate parabolic equations. CoRR (2020)
Jérôme Droniou, Robert Eymard
High-order Mass-lumped Schemes for Nonlinear Degenerate Elliptic Equations. SIAM J. Numer. Anal. 58 (1) (2020)
Jérôme Droniou, Robert Eymard, Thierry Gallouët, Raphaèle Herbin
Non-conforming finite elements on polytopal meshes. CoRR (2020)
Jérôme Droniou
Interplay between diffusion anisotropy and mesh skewness in Hybrid High-Order schemes. CoRR (2020)
Jérôme Droniou, Robert Eymard, Thierry Gallouët, Raphaèle Herbin
The Gradient Discretisation Method for Linear Advection Problems. Comput. Methods Appl. Math. 20 (3) (2020)
Jérôme Droniou, Jennifer A. Flegg, Gopikrishnan Chirappurathu Remesan
Numerical solution of a two dimensional tumour growth model with moving boundary. CoRR (2020)
Daniele A. Di Pietro, Jérôme Droniou
An arbitrary-order method for magnetostatics on polyhedral meshes based on a discrete de Rham sequence. CoRR (2020)
Jérôme Droniou, Jennifer A. Flegg, Gopikrishnan Chirappurathu Remesan
Numerical Solution of a Two Dimensional Tumour Growth Model with Moving Boundary. J. Sci. Comput. 85 (2) (2020)
Hanz Martin Cheng, Jérôme Droniou
An Efficient Implementation of Mass Conserving Characteristic-Based Schemes in Two and Three Dimensions. SIAM J. Sci. Comput. 42 (2) (2020)
Jérôme Droniou, Matej Medl'a, Karol Mikula
Design and analysis of finite volume methods for elliptic equations with oblique derivatives; application to Earth gravity field modelling. J. Comput. Phys. 398 (2019)
Jérôme Droniou, Neela Nataraj, Gopikrishnan Chirappurathu Remesan
Convergence analysis of a numerical scheme for a tumour growth model. CoRR (2019)
Lorenzo Botti, Daniele A. Di Pietro, Jérôme Droniou
A Hybrid High-Order method for the incompressible Navier-Stokes equations based on Temam's device. J. Comput. Phys. 376 (2019)
Jérôme Droniou, Robert Eymard, Alain Prignet, Kyle S. Talbot
Unified Convergence Analysis of Numerical Schemes for a Miscible Displacement Problem. Found. Comput. Math. 19 (2) (2019)
Hanz Martin Cheng, Jérôme Droniou
An efficient implementation of mass conserving characteristic-based schemes in 2D and 3D. CoRR (2019)
Daniele A. Di Pietro, Jérôme Droniou, Francesca Rapetti
Fully discrete polynomial de Rham sequences of arbitrary degree on polygons and polyhedra. CoRR (2019)
Hanz Martin Cheng, Jérôme Droniou, Kim-Ngan Le
Convergence analysis of a family of ELLAM schemes for a fully coupled model of miscible displacement in porous media. Numerische Mathematik 141 (2) (2019)
Jérôme Droniou, Julian Hennicker, Roland Masson
Numerical analysis of a two-phase flow discrete fracture matrix model. Numerische Mathematik 141 (1) (2019)
Jérôme Droniou, Bishnu P. Lamichhane, Devika Shylaja
The Hessian Discretisation Method for Fourth Order Linear Elliptic Equations. J. Sci. Comput. 78 (3) (2019)
Daniel Anderson, Jérôme Droniou
An Arbitrary-Order Scheme on Generic Meshes for Miscible Displacements in Porous Media. SIAM J. Sci. Comput. 40 (4) (2018)
Jérôme Droniou, Neela Nataraj, Devika Shylaja
Numerical Analysis for the Pure Neumann Control Problem Using the Gradient Discretisation Method. Comput. Methods Appl. Math. 18 (4) (2018)
Paola F. Antonietti, Jérôme Droniou, Robert Eymard
An Eclectic View on Numerical Methods for PDEs: Presentation of the Special Issue "Advanced Numerical Methods: Recent Developments, Analysis and Applications". Comput. Methods Appl. Math. 18 (3) (2018)
Yahya Alnashri, Jérôme Droniou
A Gradient Discretization Method to Analyze Numerical Schemes for Nonlinear Variational Inequalities, Application to the Seepage Problem. SIAM J. Numer. Anal. 56 (4) (2018)
Daniele A. Di Pietro, Jérôme Droniou, Gianmarco Manzini
Discontinuous Skeletal Gradient Discretisation methods on polytopal meshes. J. Comput. Phys. 355 (2018)
Daniel Anderson, Jérôme Droniou
An arbitrary order scheme on generic meshes for miscible displacements in porous media. CoRR (2017)
Jérôme Droniou, Neela Nataraj, Devika Shylaja
The Gradient Discretization Method for Optimal Control Problems, with Superconvergence for Nonconforming Finite Elements and Mixed-Hybrid Mimetic Finite Differences. SIAM J. Control. Optim. 55 (6) (2017)
Daniele A. Di Pietro, Jérôme Droniou
A Hybrid High-Order method for Leray-Lions elliptic equations on general meshes. Math. Comput. 86 (307) (2017)
Yahya Alnashri, Jérôme Droniou
Gradient schemes for the Signorini and the obstacle problems, and application to hybrid mimetic mixed methods. Comput. Math. Appl. 72 (11) (2016)
Jérôme Droniou, Robert Eymard
Uniform-in-time convergence of numerical methods for non-linear degenerate parabolic equations. Numerische Mathematik 132 (4) (2016)
Jérôme Droniou, Bishnu P. Lamichhane
Gradient schemes for linear and non-linear elasticity equations. Numerische Mathematik 129 (2) (2015)
Daniele A. Di Pietro, Jérôme Droniou, Alexandre Ern
A Discontinuous-Skeletal Method for Advection-Diffusion-Reaction on General Meshes. SIAM J. Numer. Anal. 53 (5) (2015)
Jérôme Droniou, Kyle S. Talbot
On a Miscible Displacement Model in Porous Media Flow with Measure Data. SIAM J. Math. Anal. 46 (5) (2014)
Jérôme Droniou, Christophe Le Potier
Construction and Convergence Study of Schemes Preserving the Elliptic Local Maximum Principle. SIAM J. Numer. Anal. 49 (2) (2011)
Jérôme Droniou
A numerical method for fractal conservation laws. Math. Comput. 79 (269) (2010)
Jérôme Droniou
Remarks on discretizations of convection terms in Hybrid mimetic mixed methods. Networks Heterog. Media 5 (3) (2010)
Claire Chainais-Hillairet, Jérôme Droniou
Convergence Analysis of a Mixed Finite Volume Scheme for an Elliptic-Parabolic System Modeling Miscible Fluid Flows in Porous Media. SIAM J. Numer. Anal. 45 (5) (2007)
Jérôme Droniou, Robert Eymard
A mixed finite volume scheme for anisotropic diffusion problems on any grid. Numerische Mathematik 105 (1) (2006)
Jérôme Droniou, Thierry Gallouët, Raphaèle Herbin
A Finite Volume Scheme for a Noncoercive Elliptic Equation with Measure Data. SIAM J. Numer. Anal. 41 (6) (2003)
Jérôme Droniou
Error estimates for the convergence of a finite volume discretization of convection-diffusion equations. J. Num. Math. 11 (1) (2003)