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ORCIDJérôme Droniou
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2020 – today
- 2024
[j44]Jérôme Droniou, Mohamed Laaziri, Roland Masson:
Discretisations of mixed-dimensional Thermo-Hydro-Mechanical models preserving energy estimates. J. Comput. Phys. 515: 113295 (2024)- [j43]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): 2103-2134 (2024) - [i40]Daniele A. Di Pietro, Jérôme Droniou, Jia Jia Qian:
A pressure-robust Discrete de Rham scheme for the Navier-Stokes equations. CoRR abs/2401.04456 (2024) - [i39]Jérôme Droniou, Mohamed Laaziri, Roland Masson:
Discretisations of mixed-dimensional Thermo-Hydro-Mechanical models preserving energy estimates. CoRR abs/2401.12342 (2024) - [i38]Jérôme Droniou, Marien Hanot, Todd A. Oliynyk:
A polytopal discrete de Rham complex on manifolds, with application to the Maxwell equations. CoRR abs/2401.16130 (2024) - [i37]Jérôme Droniou, Gianmarco Manzini, Liam Yemm:
The eXtended Virtual Element Method for elliptic problems with weakly singular solutions. CoRR abs/2402.02902 (2024) - [i36]Jérôme Droniou, Ali Haidar, Roland Masson:
Analysis of a VEM-fully discrete polytopal scheme with bubble stabilisation for contact mechanics with Tresca friction. CoRR abs/2404.03045 (2024) - [i35]Santiago Badia, Jérôme Droniou, Jai Tushar:
A discrete trace theory for non-conforming polytopal hybrid discretisation methods. CoRR abs/2409.15863 (2024) - [i34]Jérôme Droniou, Kim-Ngan Le, Jörn Wichmann:
Reaching the equilibrium: Long-term stable approximations for stochastic non-Newtonian Stokes equations with transport noise. CoRR abs/2412.14316 (2024) - 2023
- [j42]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): 85-164 (2023) - [j41]Jérôme Droniou
, Todd A. Oliynyk, Jia Jia Qian:
A polyhedral discrete de Rham numerical scheme for the Yang-Mills equations. J. Comput. Phys. 478: 111955 (2023) - [i33]Daniele A. Di Pietro, Jérôme Droniou:
A polytopal method for the Brinkman problem robust in all regimes. CoRR abs/2301.03272 (2023) - [i32]Francesco Bonaldi, Daniele A. Di Pietro, Jérôme Droniou, Kaibo Hu:
An exterior calculus framework for polytopal methods. CoRR abs/2303.11093 (2023) - [i31]Jérôme Droniou, Jia Jia Qian:
Two arbitrary-order constraint-preserving schemes for the Yang-Mills equations on polyhedral meshes. CoRR abs/2306.09751 (2023) - [i30]Jérôme Droniou, Muhammad Awais Khan, Kim-Ngan Le:
Numerical analysis of the stochastic Stefan problem. CoRR abs/2306.12668 (2023) - [i29]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 abs/2308.10703 (2023) - [i28]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 abs/2312.09319 (2023) - 2022
- [j40]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: 136-149 (2022) - [j39]Jérôme Droniou, Liam Yemm:
Robust Hybrid High-Order Method on Polytopal Meshes with Small Faces. Comput. Methods Appl. Math. 22(1): 47-71 (2022) - [j38]Hanz Martin Cheng, Jérôme Droniou, Kim-Ngan Le:
A combined GDM-ELLAM-MMOC scheme for advection dominated PDEs. J. Comput. Appl. Math. 404: 113878 (2022) - [j37]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: 110984 (2022) - [j36]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: 111258 (2022) - [j35]Santiago Badia, Jérôme Droniou, Liam Yemm:
Conditioning of a Hybrid High-Order Scheme on Meshes with Small Faces. J. Sci. Comput. 92(2): 71 (2022) - [j34]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): 51-77 (2022) - [i27]Francesco Bonaldi, Jérôme Droniou, Roland Masson:
Numerical analysis of a mixed-dimensional poromechanical model with frictionless contact at matrix-fracture interfaces. CoRR abs/2201.09646 (2022) - [i26]Jérôme Droniou, Liam Yemm:
A Hybrid High-Order scheme for the stationary, incompressible magnetohydrodynamics equations. CoRR abs/2202.12436 (2022) - [i25]Daniele A. Di Pietro, Jérôme Droniou:
Homological- and analytical-preserving serendipity framework for polytopal complexes, with application to the DDR method. CoRR abs/2203.02939 (2022) - [i24]Jérôme Droniou, Todd A. Oliynyk, Jia Jia Qian:
A polyhedral discrete de Rham numerical scheme for the Yang-Mills equations. CoRR abs/2208.12009 (2022) - [i23]Daniele A. Di Pietro, Jérôme Droniou, Silvano Pitassi:
Cohomology of the discrete de Rham complex on domains of general topology. CoRR abs/2209.00957 (2022) - 2021
- [j33]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): 20 (2021) - [j32]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: 40-68 (2021) - [j31]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: 109991 (2021) - [i22]Daniele Antonio Di Pietro, Jérôme Droniou:
An arbitrary-order discrete de Rham complex on polyhedral meshes: Exactness, Poincaré inequalities, and consistency. CoRR abs/2101.04940 (2021) - [i21]Jérôme Droniou, Liam Yemm:
Robust Hybrid High-Order method on polytopal meshes with small faces. CoRR abs/2102.06414 (2021) - [i20]Daniele A. Di Pietro, Jérôme Droniou:
A DDR method for the Reissner-Mindlin plate bending problem on polygonal meshes. CoRR abs/2105.11773 (2021) - [i19]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 abs/2109.09428 (2021) - [i18]Santiago Badia, Jérôme Droniou, Liam Yemm:
Conditioning of a Hybrid High-Order scheme on meshes with small faces. CoRR abs/2109.09983 (2021) - [i17]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 abs/2110.00300 (2021) - [i16]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 abs/2112.09750 (2021) - [i15]Daniele A. Di Pietro, Jérôme Droniou:
A fully discrete plates complex on polygonal meshes with application to the Kirchhoff-Love problem. CoRR abs/2112.14497 (2021) - 2020
- [j30]Jérôme Droniou, Robert Eymard, Thierry Gallouët, Raphaèle Herbin:
The Gradient Discretisation Method for Linear Advection Problems. Comput. Methods Appl. Math. 20(3): 437-458 (2020) - [j29]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): 22 (2020) - [j28]Jérôme Droniou, Robert Eymard:
High-order Mass-lumped Schemes for Nonlinear Degenerate Elliptic Equations. SIAM J. Numer. Anal. 58(1): 153-188 (2020) - [j27]Jérôme Droniou, Kim-Ngan Le:
The Gradient Discretization Method for Slow and Fast Diffusion Porous Media Equations. SIAM J. Numer. Anal. 58(3): 1965-1992 (2020) - [j26]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): A1071-A1096 (2020) - [i14]Jérôme Droniou, Jennifer A. Flegg, Gopikrishnan Chirappurathu Remesan:
Numerical solution of a two dimensional tumour growth model with moving boundary. CoRR abs/2001.01949 (2020) - [i13]Jérôme Droniou:
Interplay between diffusion anisotropy and mesh skewness in Hybrid High-Order schemes. CoRR abs/2001.10804 (2020) - [i12]Jérôme Droniou, Robert Eymard:
Uniform-in-time convergence of numerical methods for non-linear degenerate parabolic equations. CoRR abs/2003.09067 (2020) - [i11]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 abs/2004.09842 (2020) - [i10]Francesco Bonaldi, Konstantin Brenner, Jérôme Droniou, Roland Masson:
Gradient discretization of two-phase flows coupled with mechanical deformation in fractured porous media. CoRR abs/2004.09860 (2020) - [i9]Jérôme Droniou, Beniamin Goldys, Kim-Ngan Le:
Design and convergence analysis of numerical methods for stochastic evolution equations with Leray-Lions operator. CoRR abs/2004.12047 (2020) - [i8]Daniele A. Di Pietro, Jérôme Droniou:
An arbitrary-order method for magnetostatics on polyhedral meshes based on a discrete de Rham sequence. CoRR abs/2005.06890 (2020) - [i7]Jérôme Droniou, Robert Eymard, Thierry Gallouët, Raphaèle Herbin:
Non-conforming finite elements on polytopal meshes. CoRR abs/2007.06958 (2020) - [i6]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 abs/2011.05576 (2020) - [i5]Daniele Antonio Di Pietro, Jérôme Droniou, André Harnist:
Improved error estimates for Hybrid High-Order discretizations of Leray-Lions problems. CoRR abs/2012.05122 (2020)
2010 – 2019
- 2019
- [j25]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): 333-374 (2019) - [j24]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: 786-816 (2019) - [j23]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) - [j22]Jérôme Droniou, Bishnu P. Lamichhane, Devika Shylaja:
The Hessian Discretisation Method for Fourth Order Linear Elliptic Equations. J. Sci. Comput. 78(3): 1405-1437 (2019) - [j21]Jérôme Droniou, Julian Hennicker, Roland Masson:
Numerical analysis of a two-phase flow discrete fracture matrix model. Numerische Mathematik 141(1): 21-62 (2019) - [j20]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): 353-397 (2019) - [i4]Hanz Martin Cheng, Jérôme Droniou:
An efficient implementation of mass conserving characteristic-based schemes in 2D and 3D. CoRR abs/1908.05834 (2019) - [i3]Jérôme Droniou, Neela Nataraj, Gopikrishnan Chirappurathu Remesan:
Convergence analysis of a numerical scheme for a tumour growth model. CoRR abs/1910.07768 (2019) - [i2]Daniele A. Di Pietro, Jérôme Droniou, Francesca Rapetti:
Fully discrete polynomial de Rham sequences of arbitrary degree on polygons and polyhedra. CoRR abs/1911.03616 (2019) - 2018
- [j19]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): 323-325 (2018) - [j18]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): 609-637 (2018) - [j17]Daniele A. Di Pietro, Jérôme Droniou, Gianmarco Manzini:
Discontinuous Skeletal Gradient Discretisation methods on polytopal meshes. J. Comput. Phys. 355: 397-425 (2018) - [j16]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): 2375-2405 (2018) - [j15]Daniel Anderson, Jérôme Droniou:
An Arbitrary-Order Scheme on Generic Meshes for Miscible Displacements in Porous Media. SIAM J. Sci. Comput. 40(4): B1020-B1054 (2018) - 2017
- [j14]Daniele A. Di Pietro, Jérôme Droniou:
A Hybrid High-Order method for Leray-Lions elliptic equations on general meshes. Math. Comput. 86(307): 2159-2191 (2017) - [j13]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): 3640-3672 (2017) - [i1]Daniel Anderson, Jérôme Droniou:
An arbitrary order scheme on generic meshes for miscible displacements in porous media. CoRR abs/1707.04038 (2017) - 2016
- [j12]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): 2788-2807 (2016) - [j11]Jérôme Droniou, Robert Eymard:
Uniform-in-time convergence of numerical methods for non-linear degenerate parabolic equations. Numerische Mathematik 132(4): 721-766 (2016) - 2015
- [j10]Jérôme Droniou, Bishnu P. Lamichhane:
Gradient schemes for linear and non-linear elasticity equations. Numerische Mathematik 129(2): 251-277 (2015) - [j9]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): 2135-2157 (2015) - 2014
- [j8]Jérôme Droniou, Kyle S. Talbot:
On a Miscible Displacement Model in Porous Media Flow with Measure Data. SIAM J. Math. Anal. 46(5): 3158-3175 (2014) - 2011
- [j7]Jérôme Droniou, Christophe Le Potier:
Construction and Convergence Study of Schemes Preserving the Elliptic Local Maximum Principle. SIAM J. Numer. Anal. 49(2): 459-490 (2011) - 2010
- [j6]Jérôme Droniou:
A numerical method for fractal conservation laws. Math. Comput. 79(269): 95-124 (2010) - [j5]Jérôme Droniou:
Remarks on discretizations of convection terms in Hybrid mimetic mixed methods. Networks Heterog. Media 5(3): 545-563 (2010)
2000 – 2009
- 2007
- [j4]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): 2228-2258 (2007) - 2006
- [j3]Jérôme Droniou, Robert Eymard:
A mixed finite volume scheme for anisotropic diffusion problems on any grid. Numerische Mathematik 105(1): 35-71 (2006) - 2003
- [j2]Jérôme Droniou:
Error estimates for the convergence of a finite volume discretization of convection-diffusion equations. J. Num. Math. 11(1): 1-32 (2003) - [j1]Jérôme Droniou, Thierry Gallouët, Raphaèle Herbin:
A Finite Volume Scheme for a Noncoercive Elliptic Equation with Measure Data. SIAM J. Numer. Anal. 41(6): 1997-2031 (2003)
Coauthor Index
Daniele A. Di Pietro
aka: Daniele Antonio Di Pietro
aka: Daniele Antonio Di Pietro
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