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 | 334 | 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 | 303 | 2010 |
A mixed finite volume scheme for anisotropic diffusion problems on any grid J Droniou, R Eymard Numerische Mathematik 105, 35-71, 2006 | 245 | 2006 |
The gradient discretisation method J Droniou, R Eymard, T Gallouët, C Guichard, R Herbin Springer, 2018 | 239* | 2018 |
Fractal first-order partial differential equations J Droniou, C Imbert Archive for Rational Mechanics and Analysis 182, 299-331, 2006 | 221 | 2006 |
The hybrid high-order method for polytopal meshes DA Di Pietro, J Droniou Number 19 in Modeling, Simulation and Application, 2020 | 205 | 2020 |
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 | 159 | 2013 |
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 | 135 | 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 | 134 | 2017 |
Parabolic capacity and soft measures for nonlinear equations J Droniou, A Porretta, A Prignet Potential Analysis 19, 99-161, 2003 | 131 | 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 | 108 | 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 | 101 | 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 | 100 | 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 | 97 | 2007 |
Intégration et Espaces de Sobolev à Valeurs Vectorielles. J Droniou | 91 | 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 | 85 | 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 | 84 | 2016 |
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 | 82 | 2010 |
Discontinuous skeletal gradient discretisation methods on polytopal meshes DA Di Pietro, J Droniou, G Manzini Journal of Computational Physics 355, 397-425, 2018 | 79 | 2018 |
Non-coercive linear elliptic problems J Droniou Potential Analysis 17 (2), 181-203, 2002 | 79 | 2002 |