38 citations · 55 across the 4 of their papers we have counts for
4 papers · 1 filter
A discrete Weber inequality on three-dimensional hybrid spaces with application to the HHO approximation of magnetostatics
Florent Chave, Daniele A. Di Pietro, Simon Lemaire
We prove a discrete version of the first Weber inequality on three-dimensional hybrid spaces spanned by vectors of polynomials attached to the elements and faces of a polyhedral me…
High-Order method for Darcy flows in fractured porous media
Florent Chave, Daniele Di Pietro, Luca Formaggia
We develop a novel Hybrid High-Order method for the simulation of Darcy flows in fractured porous media. The discretization hinges on a mixed formulation in the bulk region and on…
A Hybrid High-Order method for the convective Cahn-Hilliard problem in mixed form
Florent Chave, Daniele Di Pietro, Fabien Marche
We propose a novel Hybrid High-Order method for the Cahn-Hilliard problem with convection. The proposed method is valid in two and three space dimensions, and it supports arbitrary…
A Hybrid High-Order method for the Cahn-Hilliard problem in mixed form
Florent Chave, Daniele A. Di Pietro, Fabien Marche +1
In this work, we develop a fully implicit Hybrid High-Order algorithm for the Cahn-Hilliard problem in mixed form. The space discretization hinges on local reconstruction operators…