Daniele A. Di Pietro

activity

20102026

most citedA Hybrid High-Order method for the incompressible Navier--Stokes equations based on Temam's device

372 citations · 905 across the 41 of their papers we have counts for

collaborators

Showing 2016Show all

3 papers · 1 filter

math.NA2016

Unified formulation and analysis of mixed and primal discontinuous skeletal methods on polytopal meshes

Daniele Boffi, Daniele Di Pietro

We propose in this work a unified formulation of mixed and primal discretization methods on polyhedral meshes hinging on globally coupled degrees of freedom that are discontinuous…

math.NA2016★ 68 cited

A Hybrid High-Order method for the steady incompressible Navier--Stokes problem

Daniele A. Di Pietro, Stella Krell

In this work we introduce and analyze a novel Hybrid High-Order method for the steady incompressible Navier-Stokes equations. The proposed method is inf-sup stable on general polyh…

math.NA2016

$W^{s, p}$ -approximation properties of elliptic projectors on polynomial spaces, with application to the error analysis of a Hybrid High-Order discretisation of Leray-Lions problems

Daniele Di Pietro, Jerome Droniou

In this work we prove optimal $W^{s, p}$ -approximation estimates (with $p \in [1, + \infty]$ ) for elliptic projectors on local polynomial spaces. The proof hinges on the classical Dupon…

Unified formulation and analysis of mixed and primal discontinuous skeletal methods on polytopal meshes

A Hybrid High-Order method for the steady incompressible Navier--Stokes problem

Ws,p-approximation properties of elliptic projectors on polynomial spaces, with application to the error analysis of a Hybrid High-Order discretisation of Leray-Lions problems

$W^{s, p}$ -approximation properties of elliptic projectors on polynomial spaces, with application to the error analysis of a Hybrid High-Order discretisation of Leray-Lions problems