Error estimates for the convergence of a finite volume discretization of convection-diffusion equations. - Jérôme Droniou (J. Num. Math., 2003)

A Finite Volume Scheme for a Noncoercive Elliptic Equation with Measure Data. - Jérôme Droniou; Thierry Gallouët; Raphaèle Herbin (SIAM J. Numer. Anal., 2003)

A mixed finite volume scheme for anisotropic diffusion problems on any grid. - Jérôme Droniou; Robert Eymard (Numerische Mathematik, 2006)

Convergence Analysis of a Mixed Finite Volume Scheme for an Elliptic-Parabolic System Modeling Miscible Fluid Flows in Porous Media. - Claire Chainais-Hillairet; Jérôme Droniou (SIAM J. Numer. Anal., 2007)

A numerical method for fractal conservation laws. - Jérôme Droniou (Math. Comput., 2010)

Remarks on discretizations of convection terms in Hybrid mimetic mixed methods. - Jérôme Droniou (Networks Heterog. Media, 2010)

Construction and Convergence Study of Schemes Preserving the Elliptic Local Maximum Principle. - Jérôme Droniou; Christophe Le Potier (SIAM J. Numer. Anal., 2011)

On a Miscible Displacement Model in Porous Media Flow with Measure Data. - Jérôme Droniou; Kyle S. Talbot (SIAM J. Math. Anal., 2014)

Gradient schemes for linear and non-linear elasticity equations. - Jérôme Droniou; Bishnu P. Lamichhane (Numerische Mathematik, 2015)

A Discontinuous-Skeletal Method for Advection-Diffusion-Reaction on General Meshes. - Daniele A. Di Pietro; Jérôme Droniou; Alexandre Ern (SIAM J. Numer. Anal., 2015)

Gradient schemes for the Signorini and the obstacle problems, and application to hybrid mimetic mixed methods. - Yahya Alnashri; Jérôme Droniou (Comput. Math. Appl., 2016)

Uniform-in-time convergence of numerical methods for non-linear degenerate parabolic equations. - Jérôme Droniou; Robert Eymard (Numerische Mathematik, 2016)

A Hybrid High-Order method for Leray-Lions elliptic equations on general meshes. - Daniele A. Di Pietro; Jérôme Droniou (Math. Comput., 2017)

The Gradient Discretization Method for Optimal Control Problems, with Superconvergence for Nonconforming Finite Elements and Mixed-Hybrid Mimetic Finite Differences. - Jérôme Droniou; Neela Nataraj; Devika Shylaja (SIAM J. Control. Optim., 2017)

An Eclectic View on Numerical Methods for PDEs: Presentation of the Special Issue "Advanced Numerical Methods: Recent Developments, Analysis and Applications". - Paola F. Antonietti; Jérôme Droniou; Robert Eymard (Comput. Methods Appl. Math., 2018)

Numerical Analysis for the Pure Neumann Control Problem Using the Gradient Discretisation Method. - Jérôme Droniou; Neela Nataraj; Devika Shylaja (Comput. Methods Appl. Math., 2018)

Discontinuous Skeletal Gradient Discretisation methods on polytopal meshes. - Daniele A. Di Pietro; Jérôme Droniou; Gianmarco Manzini (J. Comput. Phys., 2018)

A Gradient Discretization Method to Analyze Numerical Schemes for Nonlinear Variational Inequalities, Application to the Seepage Problem. - Yahya Alnashri; Jérôme Droniou (SIAM J. Numer. Anal., 2018)

An Arbitrary-Order Scheme on Generic Meshes for Miscible Displacements in Porous Media. - Daniel Anderson; Jérôme Droniou (SIAM J. Sci. Comput., 2018)

An efficient implementation of mass conserving characteristic-based schemes in 2D and 3D. - Hanz Martin Cheng; Jérôme Droniou (CoRR, 2019)

Convergence analysis of a numerical scheme for a tumour growth model. - Jérôme Droniou; Neela Nataraj; Gopikrishnan Chirappurathu Remesan (CoRR, 2019)

Fully discrete polynomial de Rham sequences of arbitrary degree on polygons and polyhedra. - Daniele A. Di Pietro; Jérôme Droniou; Francesca Rapetti (CoRR, 2019)

Unified Convergence Analysis of Numerical Schemes for a Miscible Displacement Problem. - Jérôme Droniou; Robert Eymard; Alain Prignet; Kyle S. Talbot (Found. Comput. Math., 2019)

A Hybrid High-Order method for the incompressible Navier-Stokes equations based on Temam's device. - Lorenzo Botti; Daniele A. Di Pietro; Jérôme Droniou (J. Comput. Phys., 2019)

Design and analysis of finite volume methods for elliptic equations with oblique derivatives; application to Earth gravity field modelling. - Jérôme Droniou; Matej Medl'a; Karol Mikula (J. Comput. Phys., 2019)

The Hessian Discretisation Method for Fourth Order Linear Elliptic Equations. - Jérôme Droniou; Bishnu P. Lamichhane; Devika Shylaja (J. Sci. Comput., 2019)

Convergence analysis of a family of ELLAM schemes for a fully coupled model of miscible displacement in porous media. - Hanz Martin Cheng; Jérôme Droniou; Kim-Ngan Le (Numerische Mathematik, 2019)

Numerical analysis of a two-phase flow discrete fracture matrix model. - Jérôme Droniou; Julian Hennicker; Roland Masson (Numerische Mathematik, 2019)

The Gradient Discretisation Method for Linear Advection Problems. - Jérôme Droniou; Robert Eymard; Thierry Gallouët; Raphaèle Herbin (Comput. Methods Appl. Math., 2020)

Interplay between diffusion anisotropy and mesh skewness in Hybrid High-Order schemes. - Jérôme Droniou (CoRR, 2020)

Design and convergence analysis of numerical methods for stochastic evolution equations with Leray-Lions operator. - Jérôme Droniou; Beniamin Goldys; Kim-Ngan Le (CoRR, 2020)

Non-conforming finite elements on polytopal meshes. - Jérôme Droniou; Robert Eymard; Thierry Gallouët; Raphaèle Herbin (CoRR, 2020)

Gradient discretization of two-phase poro-mechanical models with discontinuous pressures at matrix fracture interfaces. - Francesco Bonaldi; Konstantin Brenner; Jérôme Droniou; Roland Masson; Antoine Pasteau; Laurent Trenty (CoRR, 2020)

Improved error estimates for Hybrid High-Order discretizations of Leray-Lions problems. - Daniele Antonio Di Pietro; Jérôme Droniou; André Harnist (CoRR, 2020)

Numerical Solution of a Two Dimensional Tumour Growth Model with Moving Boundary. - Jérôme Droniou; Jennifer A. Flegg; Gopikrishnan Chirappurathu Remesan (J. Sci. Comput., 2020)

High-order Mass-lumped Schemes for Nonlinear Degenerate Elliptic Equations. - Jérôme Droniou; Robert Eymard (SIAM J. Numer. Anal., 2020)

The Gradient Discretization Method for Slow and Fast Diffusion Porous Media Equations. - Jérôme Droniou; Kim-Ngan Le (SIAM J. Numer. Anal., 2020)

An Efficient Implementation of Mass Conserving Characteristic-Based Schemes in Two and Three Dimensions. - Hanz Martin Cheng; Jérôme Droniou (SIAM J. Sci. Comput., 2020)

Hessian discretisation method for fourth-order semi-linear elliptic equations: applications to the von Kármán and Navier-Stokes models. - Jérôme Droniou; Neela Nataraj; Devika Shylaja (Adv. Comput. Math., 2021)

Gradient discretization of two-phase flows coupled with mechanical deformation in fractured porous media. - Francesco Bonaldi; Konstantin Brenner; Jérôme Droniou; Roland Masson (Comput. Math. Appl., 2021)

A DDR method for the Reissner-Mindlin plate bending problem on polygonal meshes. - Daniele A. Di Pietro; Jérôme Droniou (CoRR, 2021)

Arbitrary-order pressure-robust DDR and VEM methods for the Stokes problem on polyhedral meshes. - Lourenço Beirão da Veiga; Franco Dassi; Daniele A. Di Pietro; Jérôme Droniou (CoRR, 2021)

An arbitrary-order method for magnetostatics on polyhedral meshes based on a discrete de Rham sequence. - Daniele A. Di Pietro; Jérôme Droniou (J. Comput. Phys., 2021)

A discrete de Rham method for the Reissner-Mindlin plate bending problem on polygonal meshes. - Daniele A. Di Pietro; Jérôme Droniou (Comput. Math. Appl., 2022)

Robust Hybrid High-Order Method on Polytopal Meshes with Small Faces. - Jérôme Droniou; Liam Yemm (Comput. Methods Appl. Math., 2022)

A Hybrid High-Order scheme for the stationary, incompressible magnetohydrodynamics equations. - Jérôme Droniou; Liam Yemm (CoRR, 2022)

Homological- and analytical-preserving serendipity framework for polytopal complexes, with application to the DDR method. - Daniele A. Di Pietro; Jérôme Droniou (CoRR, 2022)

Cohomology of the discrete de Rham complex on domains of general topology. - Daniele A. Di Pietro; Jérôme Droniou; Silvano Pitassi (CoRR, 2022)

A combined GDM-ELLAM-MMOC scheme for advection dominated PDEs. - Hanz Martin Cheng; Jérôme Droniou; Kim-Ngan Le (J. Comput. Appl. Math., 2022)

Energy-stable discretization of two-phase flows in deformable porous media with frictional contact at matrix-fracture interfaces. - Francesco Bonaldi; Jérôme Droniou; Roland Masson; Antoine Pasteau (J. Comput. Phys., 2022)

A cost-effective nonlinear extremum-preserving finite volume scheme for highly anisotropic diffusion on Cartesian grids, with application to radiation belt dynamics. - Nour Dahmen; Jérôme Droniou; François Rogier (J. Comput. Phys., 2022)

Conditioning of a Hybrid High-Order Scheme on Meshes with Small Faces. - Santiago Badia; Jérôme Droniou; Liam Yemm (J. Sci. Comput., 2022)

A fully discrete plates complex on polygonal meshes with application to the Kirchhoff-Love problem. - Daniele A. Di Pietro; Jérôme Droniou (Math. Comput., 2022)

A polytopal method for the Brinkman problem robust in all regimes. - Daniele A. Di Pietro; Jérôme Droniou (CoRR, 2023)

An exterior calculus framework for polytopal methods. - Francesco Bonaldi; Daniele A. Di Pietro; Jérôme Droniou; Kaibo Hu (CoRR, 2023)

Two arbitrary-order constraint-preserving schemes for the Yang-Mills equations on polyhedral meshes. - Jérôme Droniou; Jia Jia Qian (CoRR, 2023)

Numerical analysis of the stochastic Stefan problem. - Jérôme Droniou; Muhammad Awais Khan 004; Kim-Ngan Le (CoRR, 2023)

Optimal error estimates for non-conforming approximations of linear parabolic problems with minimal regularity. - Jérôme Droniou; Robert Eymard; Thierry Gallouët; Cindy Guichard; Raphaèle Herbin (CoRR, 2023)

A bubble VEM-fully discrete polytopal scheme for mixed-dimensional poromechanics with frictional contact at matrix fracture interfaces. - Jérôme Droniou; Guillaume Enchéry; Isabelle Faille; Ali Haidar; Roland Masson (CoRR, 2023)

An Arbitrary-Order Discrete de Rham Complex on Polyhedral Meshes: Exactness, Poincaré Inequalities, and Consistency. - Daniele A. Di Pietro; Jérôme Droniou (Found. Comput. Math., 2023)

A polyhedral discrete de Rham numerical scheme for the Yang-Mills equations. - Jérôme Droniou; Todd A. Oliynyk; Jia Jia Qian (J. Comput. Phys., 2023)

A pressure-robust Discrete de Rham scheme for the Navier-Stokes equations. - Daniele A. Di Pietro; Jérôme Droniou; Jia Jia Qian (CoRR, 2024)

The eXtended Virtual Element Method for elliptic problems with weakly singular solutions. - Jérôme Droniou; Gianmarco Manzini; Liam Yemm (CoRR, 2024)

Analysis of a VEM-fully discrete polytopal scheme with bubble stabilisation for contact mechanics with Tresca friction. - Jérôme Droniou; Ali Haidar; Roland Masson (CoRR, 2024)

A discrete trace theory for non-conforming polytopal hybrid discretisation methods. - Santiago Badia; Jérôme Droniou; Jai Tushar (CoRR, 2024)

Reaching the equilibrium: Long-term stable approximations for stochastic non-Newtonian Stokes equations with transport noise. - Jérôme Droniou; Kim-Ngan Le; Jörn Wichmann (CoRR, 2024)

Discretisations of mixed-dimensional Thermo-Hydro-Mechanical models preserving energy estimates. - Jérôme Droniou; Mohamed Laaziri; Roland Masson (J. Comput. Phys., 2024)

Numerical analysis of a mixed-dimensional poromechanical model with frictionless contact at matrix-fracture interfaces. - Francesco Bonaldi; Jérôme Droniou; Roland Masson (Math. Comput., 2024)

A polytopal discrete de Rham complex on manifolds, with application to the Maxwell equations. - Jérôme Droniou; Marien Hanot; Todd A. Oliynyk (J. Comput. Phys., 2025)

Uniform Poincaré inequalities for the discrete de Rham complex of differential forms. - Daniele A. Di Pietro; Jérôme Droniou; Marien-Lorenzo Hanot; Silvano Pitassi (CoRR, 2025)

A Reynolds-semi-robust method with hybrid velocity and pressure for the unsteady incompressible Navier-Stokes equations. - Lourenço Beirão da Veiga; Daniele A. Di Pietro; Jérôme Droniou; Kirubell B. Haile; Thomas J. Radley (CoRR, 2025)

From Finite Elements to Hybrid High-Order methods. - Daniele A. Di Pietro; Jérôme Droniou (CoRR, 2025)

Numerical analysis of the regularised total variation flow. - Jérôme Droniou; Kim-Ngan Le; Huateng Zhu (CoRR, 2025)

Analysis of BDDC preconditioners for non-conforming polytopal hybrid discretisation methods. - Santiago Badia; Jérôme Droniou; Jordi Manyer; Jai Tushar (CoRR, 2025)

A Hybrid High-Order method for the power-law Brinkman problem robust in all regimes. - Daniel Castanon Quiroz; Daniele A. Di Pietro; Jérôme Droniou; Marwa Salah (CoRR, 2025)

Design and analysis of twisted and BGG Stokes-de Rham polytopal complexes. - Daniele A. Di Pietro; Jérôme Droniou; Kaibo Hu; Arax Leroy (CoRR, 2025)

Efficient iterative linearised solvers for numerical approximations of stochastic Stefan problems. - Muhammad Awais Khan 004; Jérôme Droniou; Kim-Ngan Le; Iuliu Sorin Pop (CoRR, 2025)