3 papers
math.NA2020
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…
math.NA2017
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…
math.NA2017
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…