372 citations · 1.4k across the 57 of their papers we have counts for
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math.NA2014★ 74 cited
A discontinuous-skeletal method for advection-diffusion-reaction on general meshes
Daniele A. Di Pietro, Jérôme Droniou, Alexandre Ern
We design and analyze an approximation method for advection-diffusion-reaction equations where the (generalized) degrees of freedom are polynomials of order at mesh faces.…
math.NA2014★ 270 cited
Finite volume schemes for diffusion equations: introduction to and review of modern methods
Jerome Droniou
We present Finite Volume methods for diffusion equations on generic meshes, that received important coverage in the last decade or so. After introducing the main ideas and construc…
math.NA2014★ 1 cited
Gradient Schemes for Linear and Non-linear Elasticity Equations
Jerome Droniou, Bishnu P. Lamichhane
The Gradient Scheme framework provides a unified analysis setting for many different families of numerical methods for diffusion equations. We show in this paper that the Gradient…