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
Roland MassonLaboratoire de Mathématiques J.A. DieudonnéVerified email at unice.fr
Gianmarco ManziniLANL & IMATI-CNRVerified email at lanl.gov
Cyril ImbertCNRS & ENSVerified email at math.cnrs.fr
Dr. Kim Ngan LeSenior Lecturer, School of Mathematics, Monash UniversityVerified email at monash.edu
Francesco BonaldiMaître de conférences HDR (Associate 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
Brenner KonstantinMCF University of Nice Sophia AntipolisVerified email at unice.fr
Yahya ALNASHRIAssistant Professor in Mathematics, Umm Al-qura UniversityVerified email at uqu.edu.sa
Lourenco Beirao Da VeigaUniversity of Milano-BicoccaVerified email at unimib.it
Hanz Martin Chengpostdoctoral researcher, Aalto UniversityVerified email at aalto.fi
Bishnu LamichhaneAssociate Professor of Mathematics, University of NewcastleVerified email at newcastle.edu.au
Liam YemmMonash UniversityVerified email at monash.edu
alessio porrettauniversita' Roma Tor VergataVerified email at mat.uniroma2.it
Christophe Le PotierDirecteur de recherche au CEAVerified email at cea.fr
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

Jerome Droniou

Senior Research Fellow at CNRS & University of Montellier, adjunct Professor at Monash University

Verified email at umontpellier.fr - 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	356	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	311	2010
The gradient discretisation method J Droniou, R Eymard, T Gallouët, C Guichard, R Herbin Springer, 2018	252*	2018
A mixed finite volume scheme for anisotropic diffusion problems on any grid J Droniou, R Eymard Numerische Mathematik 105, 35-71, 2006	251	2006
The hybrid high-order method for polytopal meshes DA Di Pietro, J Droniou Number 19 in Modeling, Simulation and Application 84, 2020	240	2020
Fractal first-order partial differential equations J Droniou, C Imbert Archive for Rational Mechanics and Analysis 182, 299-331, 2006	232	2006
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	166	2013
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	143	2017
Parabolic capacity and soft measures for nonlinear equations J Droniou, A Porretta, A Prignet Potential Analysis 19, 99-161, 2003	137	2003
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 …, 2003	137	2003
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	114	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	106	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	101	2015
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	101	2007
Intégration et Espaces de Sobolev à Valeurs Vectorielles. J Droniou	93	2001
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	90	2009
Gradient schemes: generic tools for the numerical analysis of diffusion equations J Droniou, R Eymard, R Herbin ESAIM: Mathematical Modelling and Numerical Analysis 50 (3), 749-781, 2016	87	2016
Non-coercive linear elliptic problems J Droniou Potential Analysis 17 (2), 181-203, 2002	82	2002
Discontinuous skeletal gradient discretisation methods on polytopal meshes DA Di Pietro, J Droniou, G Manzini Journal of Computational Physics 355, 397-425, 2018	81	2018
The G method for heterogeneous anisotropic diffusionon general meshes L Agélas, DA Di Pietro, J Droniou ESAIM: Mathematical Modelling and Numerical Analysis 44 (4), 597-625, 2010	81	2010

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