19 citations · 68 across the 12 of their papers we have counts for
12 papers
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…
A Reynolds-semi-robust and pressure robust Hybrid High-Order method for the time dependent incompressible Navier--Stokes equations on general meshes
Daniel Castanon Quiroz, Daniele A. Di Pietro
In this work we develop and analyze a Reynolds-semi-robust and pressure-robust Hybrid High-Order (HHO) discretization of the incompressible Navier--Stokes equations. Reynolds-semi-…
An arbitrary-order discrete rot-rot complex on polygonal meshes with application to a quad-rot problem
Daniele A. Di Pietro
In this work, following the discrete de Rham (DDR) approach, we develop a discrete counterpart of a two-dimensional de Rham complex with enhanced regularity. The proposed construct…
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…
A posteriori error estimates via equilibrated stress reconstructions for contact problems approximated by Nitsche's method
Daniele Antonio Di Pietro, Ilaria Fontana, Kyrylo Kazymyrenko
We present an a posteriori error estimate based on equilibrated stress reconstructions for the finite element approximation of a unilateral contact problem with weak enforcement of…
A Hybrid High-Order method for incompressible flows of non-Newtonian fluids with power-like convective behaviour
Daniel Castanon Quiroz, Daniele Antonio Di Pietro, André Harnist
In this work, we design and analyze a Hybrid High-Order (HHO) discretization method for incompressible flows of non-Newtonian fluids with power-like convective behaviour. We work u…
An arbitrary-order discrete de Rham complex on polyhedral meshes. Part II: Consistency
Daniele Antonio Di Pietro, Jérôme Droniou
In this paper we prove a complete panel of consistency results for the discrete de Rham (DDR) complex introduced in the companion paper [D. A. Di Pietro and J. Droniou, An arbitrar…
An arbitrary-order discrete de Rham complex on polyhedral meshes: Exactness, Poincaré inequalities, and consistency
Daniele Antonio Di Pietro, Jérôme Droniou
In this paper we present a novel arbitrary-order discrete de Rham (DDR) complex on general polyhedral meshes based on the decomposition of polynomial spaces into ranges of vector c…
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…
An abstract analysis framework for monolithic discretisations of poroelasticity with application to Hybrid High-Order methods
Lorenzo Botti, Michele Botti, Daniele A. Di Pietro
In this work, we introduce a novel abstract framework for the stability and convergence analysis of fully coupled discretisations of the poroelasticity problem and apply it to the…