19 citations · 68 across the 12 of their papers we have counts for
3 papers · 1 filter
Improved error estimates for Hybrid High-Order discretizations of Leray-Lions problems
Daniele Antonio Di Pietro, Jérôme Droniou, André Harnist
We derive novel error estimates for Hybrid High-Order (HHO) discretizations of Leray-Lions problems set in W^(1,p) with p in (1,2]. Specifically, we prove that, depending on the de…
An arbitrary-order method for magnetostatics on polyhedral meshes based on a discrete de Rham sequence
Daniele A. Di Pietro, Jérôme Droniou
In this work, we develop a discretisation method for the mixed formulation of the magnetostatic problem supporting arbitrary orders and polyhedral meshes. The method is based on a…
A Hybrid High-Order method for creeping flows of non-Newtonian fluids
Michele Botti, Daniel Castanon Quiroz, Daniele A. Di Pietro +1
In this paper, we design and analyze a Hybrid High-Order discretization method for the steady motion of non-Newtonian, incompressible fluids in the Stokes approximation of small ve…