372 citations · 1.4k across the 57 of their papers we have counts for
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A Hybrid High-Order method for Leray-Lions elliptic equations on general meshes
Daniele A. Di Pietro, Jérôme Droniou
In this work, we develop and analyze a Hybrid High-Order (HHO) method for steady non-linear Leray-Lions problems. The proposed method has several assets, including the support for…
Convergence in of weak solutions to perturbed doubly degenerate parabolic equations
Jérôme Droniou, Robert Eymard, Kyle S. Talbot
We study the behaviour of solutions to a class of nonlinear degenerate parabolic problems when the data are perturbed. The class includes the Richards equation, Stefan problem and…
Gradient schemes: generic tools for the numerical analysis of diffusion equations
Jerome Droniou, Robert Eymard, Raphaele Herbin
The gradient scheme framework is based on a small number of properties and encompasses a large number of numerical methods for diffusion models. We recall these properties and deve…
Introduction to discrete functional analysis techniques for the numerical study of diffusion equations with irregular data
Jerome Droniou
We give an introduction to discrete functional analysis techniques for stationary and transient diffusion equations. We show how these techniques are used to establish the converge…
Gradient schemes for the Signorini and the obstacle problems, and application to hybrid mimetic mixed methods
Yahya Alnashri, Jerome Droniou
Gradient schemes is a framework which enables the unified convergence analysis of many different methods -- such as finite elements (conforming, non-conforming and mixed) and finit…