Jérôme Droniou

102 papers Journal 102

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	A Reynolds- and Hartmann-semirobust hybrid method for magnetohydrodynamics. CoRR Daniele A. Di Pietro, Jérôme Droniou, Vito Patierno
2026	J	`jnl`	A higher order polytopal method for contact mechanics with Tresca friction. CoRR Jérôme Droniou, Raman Kumar, Roland Masson, Ritesh Singla
2026	J	`jnl`	A locking-free nodal-based polytopal method for linear elasticity. CoRR Jérôme Droniou, Raman Kumar
2026	J	`jnl`	A low-order hybrid method for the variable-density incompressible Navier-Stokes equations. CoRR Mathias Dauphin, Daniele A. Di Pietro, Jérôme Droniou, Alexandros Skouras
2026	J	`jnl`	Analysis of BDDC Preconditioners for Nonconforming Polytopal Hybrid Discretization Methods. SIAM J. Numer. Anal. Santiago Badia, Jérôme Droniou, Jordi Manyer, Jai Tushar
2025	J	`jnl`	A Hybrid High-Order method for the power-law Brinkman problem robust in all regimes. CoRR Daniel Castanon Quiroz, Daniele A. Di Pietro, Jérôme Droniou, Marwa Salah
2025	J	`jnl`	A Reynolds-SemiRobust Method with Hybrid Velocity and Pressure for the Unsteady Incompressible Navier-Stokes Equations. SIAM J. Numer. Anal. L. Beirão da Veiga, Daniele A. Di Pietro, Jérôme Droniou, Kirubell B. Haile, Thomas J. Radley
2025	J	`jnl`	A Reynolds-semi-robust method with hybrid velocity and pressure for the unsteady incompressible Navier-Stokes equations. CoRR Lourenço Beirão da Veiga, Daniele A. Di Pietro, Jérôme Droniou, Kirubell B. Haile, Thomas J. Radley
2025	J	`jnl`	A polytopal discrete de Rham complex on manifolds, with application to the Maxwell equations. J. Comput. Phys. Jérôme Droniou, Marien Hanot, Todd A. Oliynyk
2025	J	`jnl`	Analysis of BDDC preconditioners for non-conforming polytopal hybrid discretisation methods. CoRR Santiago Badia, Jérôme Droniou, Jordi Manyer, Jai Tushar
2025	J	`jnl`	Commuting quasi-interpolators and Maxwell compactness for a polytopal de Rham complex. CoRR Théophile Chaumont-Frelet, Jérôme Droniou, Simon Lemaire
2025	J	`jnl`	Conforming lifting and adjoint consistency for the Discrete de Rham complex of differential forms. CoRR Daniele A. Di Pietro, Jérôme Droniou, Silvano Pitassi
2025	J	`jnl`	Design and analysis of twisted and BGG Stokes-de Rham polytopal complexes. CoRR Daniele A. Di Pietro, Jérôme Droniou, Kaibo Hu, Arax Leroy
2025	J	`jnl`	Efficient iterative linearised solvers for numerical approximations of stochastic Stefan problems. CoRR Muhammad Awais Khan, Jérôme Droniou, Kim-Ngan Le, Iuliu Sorin Pop
2025	J	`jnl`	From Finite Elements to Hybrid High-Order methods. CoRR Daniele A. Di Pietro, Jérôme Droniou
2025	J	`jnl`	Ghost stabilisation for cut finite element exterior calculus. CoRR Daniele A. Di Pietro, Jérôme Droniou, Erik Nilsson
2025	J	`jnl`	Numerical analysis of the regularised total variation flow. CoRR Jérôme Droniou, Kim-Ngan Le, Huateng Zhu
2025	J	`jnl`	Uniform Poincaré inequalities for the discrete de Rham complex of differential forms. CoRR Daniele A. Di Pietro, Jérôme Droniou, Marien-Lorenzo Hanot, Silvano Pitassi
2024	J	`jnl`	A discrete trace theory for non-conforming polytopal hybrid discretisation methods. CoRR Santiago Badia, Jérôme Droniou, Jai Tushar
2024	J	`jnl`	A polytopal discrete de Rham complex on manifolds, with application to the Maxwell equations. CoRR Jérôme Droniou, Marien Hanot, Todd A. Oliynyk
2024	J	`jnl`	A pressure-robust Discrete de Rham scheme for the Navier-Stokes equations. CoRR Daniele A. Di Pietro, Jérôme Droniou, Jia Jia Qian
2024	J	`jnl`	Analysis of a VEM-fully discrete polytopal scheme with bubble stabilisation for contact mechanics with Tresca friction. CoRR Jérôme Droniou, Ali Haidar, Roland Masson
2024	J	`jnl`	Discretisations of mixed-dimensional Thermo-Hydro-Mechanical models preserving energy estimates. CoRR Jérôme Droniou, Mohamed Laaziri, Roland Masson
2024	J	`jnl`	Discretisations of mixed-dimensional Thermo-Hydro-Mechanical models preserving energy estimates. J. Comput. Phys. Jérôme Droniou, Mohamed Laaziri, Roland Masson
2024	J	`jnl`	Numerical analysis of a mixed-dimensional poromechanical model with frictionless contact at matrix-fracture interfaces. Math. Comput. Francesco Bonaldi, Jérôme Droniou, Roland Masson
2024	J	`jnl`	Reaching the equilibrium: Long-term stable approximations for stochastic non-Newtonian Stokes equations with transport noise. CoRR Jérôme Droniou, Kim-Ngan Le, Jörn Wichmann
2024	J	`jnl`	The eXtended Virtual Element Method for elliptic problems with weakly singular solutions. CoRR Jérôme Droniou, Gianmarco Manzini, Liam Yemm
2023	J	`jnl`	A bubble VEM-fully discrete polytopal scheme for mixed-dimensional poromechanics with frictional contact at matrix fracture interfaces. CoRR Jérôme Droniou, Guillaume Enchéry, Isabelle Faille, Ali Haidar, Roland Masson
2023	J	`jnl`	A polyhedral discrete de Rham numerical scheme for the Yang-Mills equations. J. Comput. Phys. Jérôme Droniou, Todd A. Oliynyk, Jia Jia Qian
2023	J	`jnl`	A polytopal method for the Brinkman problem robust in all regimes. CoRR Daniele A. Di Pietro, Jérôme Droniou
2023	J	`jnl`	An Arbitrary-Order Discrete de Rham Complex on Polyhedral Meshes: Exactness, Poincaré Inequalities, and Consistency. Found. Comput. Math. Daniele A. Di Pietro, Jérôme Droniou
2023	J	`jnl`	An exterior calculus framework for polytopal methods. CoRR Francesco Bonaldi, Daniele A. Di Pietro, Jérôme Droniou, Kaibo Hu
2023	J	`jnl`	Numerical analysis of the stochastic Stefan problem. CoRR Jérôme Droniou, Muhammad Awais Khan, Kim-Ngan Le
2023	J	`jnl`	Optimal error estimates for non-conforming approximations of linear parabolic problems with minimal regularity. CoRR Jérôme Droniou, Robert Eymard, Thierry Gallouët, Cindy Guichard, Raphaèle Herbin
2023	J	`jnl`	Two arbitrary-order constraint-preserving schemes for the Yang-Mills equations on polyhedral meshes. CoRR Jérôme Droniou, Jia Jia Qian
2022	J	`jnl`	A Hybrid High-Order scheme for the stationary, incompressible magnetohydrodynamics equations. CoRR Jérôme Droniou, Liam Yemm
2022	J	`jnl`	A combined GDM-ELLAM-MMOC scheme for advection dominated PDEs. J. Comput. Appl. Math. Hanz Martin Cheng, Jérôme Droniou, Kim-Ngan Le
2022	J	`jnl`	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. Nour Dahmen, Jérôme Droniou, François Rogier
2022	J	`jnl`	A discrete de Rham method for the Reissner-Mindlin plate bending problem on polygonal meshes. Comput. Math. Appl. Daniele A. Di Pietro, Jérôme Droniou
2022	J	`jnl`	A fully discrete plates complex on polygonal meshes with application to the Kirchhoff-Love problem. Math. Comput. Daniele A. Di Pietro, Jérôme Droniou
2022	J	`jnl`	A polyhedral discrete de Rham numerical scheme for the Yang-Mills equations. CoRR Jérôme Droniou, Todd A. Oliynyk, Jia Jia Qian
2022	J	`jnl`	Cohomology of the discrete de Rham complex on domains of general topology. CoRR Daniele A. Di Pietro, Jérôme Droniou, Silvano Pitassi
2022	J	`jnl`	Conditioning of a Hybrid High-Order Scheme on Meshes with Small Faces. J. Sci. Comput. Santiago Badia, Jérôme Droniou, Liam Yemm
2022	J	`jnl`	Energy-stable discretization of two-phase flows in deformable porous media with frictional contact at matrix-fracture interfaces. J. Comput. Phys. Francesco Bonaldi, Jérôme Droniou, Roland Masson, Antoine Pasteau
2022	J	`jnl`	Homological- and analytical-preserving serendipity framework for polytopal complexes, with application to the DDR method. CoRR Daniele A. Di Pietro, Jérôme Droniou
2022	J	`jnl`	Numerical analysis of a mixed-dimensional poromechanical model with frictionless contact at matrix-fracture interfaces. CoRR Francesco Bonaldi, Jérôme Droniou, Roland Masson
2022	J	`jnl`	Robust Hybrid High-Order Method on Polytopal Meshes with Small Faces. Comput. Methods Appl. Math. Jérôme Droniou, Liam Yemm
2021	J	`jnl`	A DDR method for the Reissner-Mindlin plate bending problem on polygonal meshes. CoRR Daniele A. Di Pietro, Jérôme Droniou
2021	J	`jnl`	A cost-effective nonlinear extremum-preserving finite volume scheme for highly anisotropic diffusion on Cartesian grids, with application to radiation belt dynamics. CoRR Nour Dahmen, Jérôme Droniou, François Rogier
2021	J	`jnl`	A fully discrete plates complex on polygonal meshes with application to the Kirchhoff-Love problem. CoRR Daniele A. Di Pietro, Jérôme Droniou
2021	J	`jnl`	An arbitrary-order discrete de Rham complex on polyhedral meshes: Exactness, Poincaré inequalities, and consistency. CoRR Daniele Antonio Di Pietro, Jérôme Droniou
2021	J	`jnl`	An arbitrary-order method for magnetostatics on polyhedral meshes based on a discrete de Rham sequence. J. Comput. Phys. Daniele A. Di Pietro, Jérôme Droniou
2021	J	`jnl`	Arbitrary-order pressure-robust DDR and VEM methods for the Stokes problem on polyhedral meshes. CoRR Lourenço Beirão da Veiga, Franco Dassi, Daniele A. Di Pietro, Jérôme Droniou
2021	J	`jnl`	Conditioning of a Hybrid High-Order scheme on meshes with small faces. CoRR Santiago Badia, Jérôme Droniou, Liam Yemm
2021	J	`jnl`	Energy-stable discretization of two-phase flows in deformable porous media with frictional contact at matrix-fracture interfaces. CoRR Francesco Bonaldi, Jérôme Droniou, Roland Masson, Antoine Pasteau
2021	J	`jnl`	Gradient discretization of two-phase flows coupled with mechanical deformation in fractured porous media. Comput. Math. Appl. Francesco Bonaldi, Konstantin Brenner, Jérôme Droniou, Roland Masson
2021	J	`jnl`	Hessian discretisation method for fourth-order semi-linear elliptic equations: applications to the von Kármán and Navier-Stokes models. Adv. Comput. Math. Jérôme Droniou, Neela Nataraj, Devika Shylaja
2021	J	`jnl`	Robust Hybrid High-Order method on polytopal meshes with small faces. CoRR Jérôme Droniou, Liam Yemm
2020	J	`jnl`	An Efficient Implementation of Mass Conserving Characteristic-Based Schemes in Two and Three Dimensions. SIAM J. Sci. Comput. Hanz Martin Cheng, Jérôme Droniou
2020	J	`jnl`	An arbitrary-order method for magnetostatics on polyhedral meshes based on a discrete de Rham sequence. CoRR Daniele A. Di Pietro, Jérôme Droniou
2020	J	`jnl`	Design and convergence analysis of numerical methods for stochastic evolution equations with Leray-Lions operator. CoRR Jérôme Droniou, Beniamin Goldys, Kim-Ngan Le
2020	J	`jnl`	Gradient discretization of two-phase flows coupled with mechanical deformation in fractured porous media. CoRR Francesco Bonaldi, Konstantin Brenner, Jérôme Droniou, Roland Masson
2020	J	`jnl`	Gradient discretization of two-phase poro-mechanical models with discontinuous pressures at matrix fracture interfaces. CoRR Francesco Bonaldi, Konstantin Brenner, Jérôme Droniou, Roland Masson, Antoine Pasteau, Laurent Trenty
2020	J	`jnl`	Hessian discretisation method for fourth order semi-linear elliptic equations: applications to the von Kármán and Navier-Stokes models. CoRR Jérôme Droniou, Neela Nataraj, Devika Shylaja
2020	J	`jnl`	High-order Mass-lumped Schemes for Nonlinear Degenerate Elliptic Equations. SIAM J. Numer. Anal. Jérôme Droniou, Robert Eymard
2020	J	`jnl`	Improved error estimates for Hybrid High-Order discretizations of Leray-Lions problems. CoRR Daniele Antonio Di Pietro, Jérôme Droniou, André Harnist
2020	J	`jnl`	Interplay between diffusion anisotropy and mesh skewness in Hybrid High-Order schemes. CoRR Jérôme Droniou
2020	J	`jnl`	Non-conforming finite elements on polytopal meshes. CoRR Jérôme Droniou, Robert Eymard, Thierry Gallouët, Raphaèle Herbin
2020	J	`jnl`	Numerical Solution of a Two Dimensional Tumour Growth Model with Moving Boundary. J. Sci. Comput. Jérôme Droniou, Jennifer A. Flegg, Gopikrishnan Chirappurathu Remesan
2020	J	`jnl`	Numerical solution of a two dimensional tumour growth model with moving boundary. CoRR Jérôme Droniou, Jennifer A. Flegg, Gopikrishnan Chirappurathu Remesan
2020	J	`jnl`	The Gradient Discretisation Method for Linear Advection Problems. Comput. Methods Appl. Math. Jérôme Droniou, Robert Eymard, Thierry Gallouët, Raphaèle Herbin
2020	J	`jnl`	The Gradient Discretization Method for Slow and Fast Diffusion Porous Media Equations. SIAM J. Numer. Anal. Jérôme Droniou, Kim-Ngan Le
2020	J	`jnl`	Uniform-in-time convergence of numerical methods for non-linear degenerate parabolic equations. CoRR Jérôme Droniou, Robert Eymard
2019	J	`jnl`	A Hybrid High-Order method for the incompressible Navier-Stokes equations based on Temam's device. J. Comput. Phys. Lorenzo Botti, Daniele A. Di Pietro, Jérôme Droniou
2019	J	`jnl`	An efficient implementation of mass conserving characteristic-based schemes in 2D and 3D. CoRR Hanz Martin Cheng, Jérôme Droniou
2019	J	`jnl`	Convergence analysis of a family of ELLAM schemes for a fully coupled model of miscible displacement in porous media. Numerische Mathematik Hanz Martin Cheng, Jérôme Droniou, Kim-Ngan Le
2019	J	`jnl`	Convergence analysis of a numerical scheme for a tumour growth model. CoRR Jérôme Droniou, Neela Nataraj, Gopikrishnan Chirappurathu Remesan
2019	J	`jnl`	Design and analysis of finite volume methods for elliptic equations with oblique derivatives; application to Earth gravity field modelling. J. Comput. Phys. Jérôme Droniou, Matej Medl'a, Karol Mikula
2019	J	`jnl`	Fully discrete polynomial de Rham sequences of arbitrary degree on polygons and polyhedra. CoRR Daniele A. Di Pietro, Jérôme Droniou, Francesca Rapetti
2019	J	`jnl`	Numerical analysis of a two-phase flow discrete fracture matrix model. Numerische Mathematik Jérôme Droniou, Julian Hennicker, Roland Masson
2019	J	`jnl`	The Hessian Discretisation Method for Fourth Order Linear Elliptic Equations. J. Sci. Comput. Jérôme Droniou, Bishnu P. Lamichhane, Devika Shylaja
2019	J	`jnl`	Unified Convergence Analysis of Numerical Schemes for a Miscible Displacement Problem. Found. Comput. Math. Jérôme Droniou, Robert Eymard, Alain Prignet, Kyle S. Talbot
2018	J	`jnl`	A Gradient Discretization Method to Analyze Numerical Schemes for Nonlinear Variational Inequalities, Application to the Seepage Problem. SIAM J. Numer. Anal. Yahya Alnashri, Jérôme Droniou
2018	J	`jnl`	An Arbitrary-Order Scheme on Generic Meshes for Miscible Displacements in Porous Media. SIAM J. Sci. Comput. Daniel Anderson, Jérôme Droniou
2018	J	`jnl`	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. Paola F. Antonietti, Jérôme Droniou, Robert Eymard
2018	J	`jnl`	Discontinuous Skeletal Gradient Discretisation methods on polytopal meshes. J. Comput. Phys. Daniele A. Di Pietro, Jérôme Droniou, Gianmarco Manzini
2018	J	`jnl`	Numerical Analysis for the Pure Neumann Control Problem Using the Gradient Discretisation Method. Comput. Methods Appl. Math. Jérôme Droniou, Neela Nataraj, Devika Shylaja
2017	J	`jnl`	A Hybrid High-Order method for Leray-Lions elliptic equations on general meshes. Math. Comput. Daniele A. Di Pietro, Jérôme Droniou
2017	J	`jnl`	An arbitrary order scheme on generic meshes for miscible displacements in porous media. CoRR Daniel Anderson, Jérôme Droniou
2017	J	`jnl`	The Gradient Discretization Method for Optimal Control Problems, with Superconvergence for Nonconforming Finite Elements and Mixed-Hybrid Mimetic Finite Differences. SIAM J. Control. Optim. Jérôme Droniou, Neela Nataraj, Devika Shylaja
2016	J	`jnl`	Gradient schemes for the Signorini and the obstacle problems, and application to hybrid mimetic mixed methods. Comput. Math. Appl. Yahya Alnashri, Jérôme Droniou
2016	J	`jnl`	Uniform-in-time convergence of numerical methods for non-linear degenerate parabolic equations. Numerische Mathematik Jérôme Droniou, Robert Eymard
2015	J	`jnl`	A Discontinuous-Skeletal Method for Advection-Diffusion-Reaction on General Meshes. SIAM J. Numer. Anal. Daniele A. Di Pietro, Jérôme Droniou, Alexandre Ern
2015	J	`jnl`	Gradient schemes for linear and non-linear elasticity equations. Numerische Mathematik Jérôme Droniou, Bishnu P. Lamichhane
2014	J	`jnl`	On a Miscible Displacement Model in Porous Media Flow with Measure Data. SIAM J. Math. Anal. Jérôme Droniou, Kyle S. Talbot
2011	J	`jnl`	Construction and Convergence Study of Schemes Preserving the Elliptic Local Maximum Principle. SIAM J. Numer. Anal. Jérôme Droniou, Christophe Le Potier
2010	J	`jnl`	A numerical method for fractal conservation laws. Math. Comput. Jérôme Droniou
2010	J	`jnl`	Remarks on discretizations of convection terms in Hybrid mimetic mixed methods. Networks Heterog. Media Jérôme Droniou
2007	J	`jnl`	Convergence Analysis of a Mixed Finite Volume Scheme for an Elliptic-Parabolic System Modeling Miscible Fluid Flows in Porous Media. SIAM J. Numer. Anal. Claire Chainais-Hillairet, Jérôme Droniou
2006	J	`jnl`	A mixed finite volume scheme for anisotropic diffusion problems on any grid. Numerische Mathematik Jérôme Droniou, Robert Eymard
2003	J	`jnl`	A Finite Volume Scheme for a Noncoercive Elliptic Equation with Measure Data. SIAM J. Numer. Anal. Jérôme Droniou, Thierry Gallouët, Raphaèle Herbin
2003	J	`jnl`	Error estimates for the convergence of a finite volume discretization of convection-diffusion equations. J. Num. Math. Jérôme Droniou