4 papers
A pressure-robust HHO method for the solution of the incompressible Navier-Stokes equations on general meshes
Daniel Castanon Quiroz, Daniele A. Di Pietro
In a recent work [10], we have introduced a pressure-robust Hybrid High-Order method for the numerical solution of the incompressible Navier-Stokes equations on matching simplicial…
Hybrid High-Order formulations with turbulence modelling capabilities for incompressible flow problems
Lorenzo Botti, Daniele Antonio Di Pietro, Francesco Carlo Massa
We propose a Hybrid High-Order (HHO) formulation of the incompressible Navier--Stokes equations, that is well suited to be employed for the simulation of turbulent flows. The spati…
From Finite Elements to Hybrid High-Order methods
Daniele A. Di Pietro, Jérôme Droniou
This document contains lecture notes from the Ph.D. course given at Scuola Superiore Meridionale by Daniele Di Pietro in February 2025. The goal of the course is to provide an over…
An exterior calculus framework for polytopal methods
Francesco Bonaldi, Daniele A. Di Pietro, Jerome Droniou +1
We develop in this work the first polytopal complexes of differential forms. These complexes, inspired by the Discrete De Rham and the Virtual Element approaches, are discrete vers…