Jerome Droniou

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Robert EymardUniversité Paris-Est Marne-la-ValléeVerified email at u-pem.fr
Daniele A. Di PietroUniversité de MontpellierVerified email at umontpellier.fr
Raphaèle HerbinProfessor of applied mathematics, Aix-Marseille UniversitéVerified email at univ-amu.fr
Gianmarco ManziniLos Alamos National Laboratory and IMATI-CNRVerified email at lanl.gov
Roland MassonLaboratoire de Mathématiques J.A. DieudonnéVerified email at unice.fr
Cyril ImbertCNRS & ENSVerified email at math.cnrs.fr
Francesco BonaldiMaître de conférences (Assistant Professor), Université de Perpignan Via DomitiaVerified email at univ-perp.fr
Lorenzo BottiUniversità degli Studi di BergamoVerified email at unibg.it
Neela NatarajDepartment of Mathematics, IIT BombayVerified email at math.iitb.ac.in
Dr. Kim Ngan LeSenior Lecturer, School of Mathematics, Monash UniversityVerified email at monash.edu
Yahya ALNASHRIAssistant Professor in Mathematics, Umm Al-qura UniversityVerified email at uqu.edu.sa
Brenner KonstantinMCF University of Nice Sophia AntipolisVerified email at unice.fr
Bishnu LamichhaneSenior Lecturer in Mathematics, University of NewcastleVerified email at newcastle.edu.au
alessio porrettauniversita' Roma Tor VergataVerified email at mat.uniroma2.it
Christophe Le PotierDirecteur de recherche au CEAVerified email at cea.fr
Liam YemmPhD Candidate, Monash UniversityVerified email at monash.edu
Lourenco Beirao Da VeigaUniversity of Milano-BicoccaVerified email at unimib.it
Juan Luis VazquezEmeritus Professor of Mathematics, Universidad Autonoma de Madrid, SpainVerified email at uam.es
Francesca RapettiUniversite' Cote d'Azur, NiceVerified email at unice.fr
James C. RobinsonProfessor of Mathematics, University of WarwickVerified email at warwick.ac.uk

Jerome Droniou

Professor in Mathematics, Monash University

Verified email at monash.edu - Homepage

PDEs numerical analysis theoretical analysis


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Finite volume schemes for diffusion equations: introduction to and review of modern methods J Droniou Mathematical Models and Methods in Applied Sciences 24 (08), 1575-1619, 2014	298	2014
A unified approach to mimetic finite difference, hybrid finite volume and mixed finite volume methods J Droniou, R Eymard, T Gallouët, R Herbin Mathematical Models and Methods in Applied Sciences 20 (02), 265-295, 2010	288	2010
A mixed finite volume scheme for anisotropic diffusion problems on any grid J Droniou, R Eymard Numerische Mathematik 105, 35-71, 2006	233	2006
Fractal first-order partial differential equations J Droniou, C Imbert Archive for Rational Mechanics and Analysis 182, 299-331, 2006	211	2006
The gradient discretisation method J Droniou, R Eymard, T Gallouët, C Guichard, R Herbin Springer, 2018	199*	2018
Gradient schemes: a generic framework for the discretisation of linear, nonlinear and nonlocal elliptic and parabolic equations J Droniou, R Eymard, T Gallouet, R Herbin Mathematical Models and Methods in Applied Sciences 23 (13), 2395-2432, 2013	155	2013
The Hybrid High-Order Method for Polytopal Meshes: Design, Analysis, and Applications DDA Pietro, J Droniou Springer, 2020	139*	2020
Global solution and smoothing effect for a non-local regularization of a hyperbolic equation J Droniou, T Gallouët, J Vovelle Nonlinear Evolution Equations and Related Topics: Dedicated to Philippe …, 2004	126	2004
Parabolic capacity and soft measures for nonlinear equations J Droniou, A Porretta, A Prignet Potential Analysis 19, 99-161, 2003	123	2003
A Hybrid High-Order method for Leray–Lions elliptic equations on general meshes D Di Pietro, J Droniou Mathematics of Computation 86 (307), 2159-2191, 2017	119	2017
Construction and convergence study of schemes preserving the elliptic local maximum principle J Droniou, CL Potier SIAM journal on numerical analysis 49 (2), 459-490, 2011	94	2011
Equivalence between entropy and renormalized solutions for parabolic equations with smooth measure data J Droniou, A Prignet Nonlinear Differential Equations and Applications NoDEA 14, 181-205, 2007	89	2007
Occurrence and non-appearance of shocks in fractal Burgers equations N Alibaud, J Droniou, J Vovelle Journal of Hyperbolic Differential Equations 4 (03), 479-499, 2007	89	2007
A discontinuous-skeletal method for advection-diffusion-reaction on general meshes DA Di Pietro, J Droniou, A Ern SIAM Journal on Numerical Analysis 53 (5), 2135-2157, 2015	87	2015
Study of the mixed finite volume method for Stokes and Navier‐Stokes equations J Droniou, R Eymard Numerical Methods for Partial Differential Equations: An International …, 2009	83	2009
Intégration et Espaces de Sobolev à Valeurs Vectorielles. J Droniou	79	2001
The G method for heterogeneous anisotropic diffusion on general meshes L Agélas, DA Di Pietro, J Droniou ESAIM: Mathematical Modelling and Numerical Analysis 44 (4), 597-625, 2010	75	2010
Non-coercive linear elliptic problems J Droniou Potential Analysis 17 (2), 181-203, 2002	73	2002
Gradient schemes: generic tools for the numerical analysis of diffusion equations J Droniou, R Eymard, R Herbin ESAIM: Mathematical Modelling and Numerical Analysis-Modélisation …, 2016	71	2016
Discontinuous skeletal gradient discretisation methods on polytopal meshes DA Di Pietro, J Droniou, G Manzini Journal of Computational Physics 355, 397-425, 2018	68	2018

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