An artificial compressibility flux for the discontinuous Galerkin solution of the incompressible Navier-Stokes equations. - Francesco Bassi; Andrea Crivellini; Daniele A. Di Pietro; Stefano Rebay (J. Comput. Phys., 2006)

Discontinuous Galerkin Methods for Anisotropic Semidefinite Diffusion with Advection. - Daniele A. Di Pietro; Alexandre Ern; Jean-Luc Guermond (SIAM J. Numer. Anal., 2008)

Discrete functional analysis tools for Discontinuous Galerkin methods with application to the incompressible Navier-Stokes equations. - Daniele A. Di Pietro; Alexandre Ern (Math. Comput., 2010)

A pressure-correction scheme for convection-dominated incompressible flows with discontinuous velocity and continuous pressure. - Lorenzo Botti; Daniele A. Di Pietro (J. Comput. Phys., 2011)

On the flexibility of agglomeration based physical space discontinuous Galerkin discretizations. - Francesco Bassi; Lorenzo Botti; Alessandro Colombo; Daniele A. Di Pietro; P. Tesini (J. Comput. Phys., 2012)

An a posteriori-based, fully adaptive algorithm with adaptive stopping criteria and mesh refinement for thermal multiphase compositional flows in porous media. - Daniele A. Di Pietro; Martin Vohralík; Soleiman Yousef (Comput. Math. Appl., 2014)

An Arbitrary-Order and Compact-Stencil Discretization of Diffusion on General Meshes Based on Local Reconstruction Operators. - Daniele A. Di Pietro; Alexandre Ern; Simon Lemaire (Comput. Methods Appl. Math., 2014)

A posteriori error estimates, stopping criteria, and adaptivity for multiphase compositional Darcy flows in porous media. - Daniele A. Di Pietro; Eric Flauraud; Martin Vohralík; Soleiman Yousef (J. Comput. Phys., 2014)

Low-order reconstruction operators on polyhedral meshes: application to compatible discrete operator schemes. - Jérôme Bonelle; Daniele A. Di Pietro; Alexandre Ern (Comput. Aided Geom. Des., 2015)

Hybridization of Mixed High-Order Methods on General Meshes and Application to the Stokes Equations. - Joubine Aghili; Sébastien Boyaval; Daniele A. Di Pietro (Comput. Methods Appl. Math., 2015)

An extension of the Crouzeix-Raviart space to general meshes with application to quasi-incompressible linear elasticity and Stokes flow. - Daniele A. Di Pietro; Simon Lemaire (Math. Comput., 2015)

Adaptive regularization, linearization, and discretization and a posteriori error control for the two-phase Stefan problem. - Daniele A. Di Pietro; Martin Vohralík; Soleiman Yousef (Math. Comput., 2015)

A Discontinuous-Skeletal Method for Advection-Diffusion-Reaction on General Meshes. - Daniele A. Di Pietro; Jérôme Droniou; Alexandre Ern (SIAM J. Numer. Anal., 2015)

An a posteriori-driven adaptive Mixed High-Order method with application to electrostatics. - Daniele A. Di Pietro; Ruben Specogna (J. Comput. Phys., 2016)

A Hybrid High-Order Method for the Cahn-Hilliard problem in Mixed Form. - Florent Chave; Daniele A. Di Pietro; Fabien Marche; Franck Pigeonneau (SIAM J. Numer. Anal., 2016)

A Nonconforming High-Order Method for the Biot Problem on General Meshes. - Daniele Boffi; Michele Botti; Daniele A. Di Pietro (SIAM J. Sci. Comput., 2016)

Stress and flux reconstruction in Biot's poro-elasticity problem with application to a posteriori error analysis. - Rita Riedlbeck; Daniele A. Di Pietro; Alexandre Ern; Sylvie Granet; Kyrylo Kazymyrenko (Comput. Math. Appl., 2017)

An hp-Hybrid High-Order Method for Variable Diffusion on General Meshes. - Joubine Aghili; Daniele A. Di Pietro; Berardo Ruffini (Comput. Methods Appl. Math., 2017)

A Hybrid High-Order method for Leray-Lions elliptic equations on general meshes. - Daniele A. Di Pietro; Jérôme Droniou (Math. Comput., 2017)

A Hybrid High-Order Method for Nonlinear Elasticity. - Michele Botti; Daniele A. Di Pietro; Pierre Sochala (SIAM J. Numer. Anal., 2017)

Implementation of Discontinuous Skeletal methods on arbitrary-dimensional, polytopal meshes using generic programming. - Matteo Cicuttin; Daniele A. Di Pietro; Alexandre Ern (J. Comput. Appl. Math., 2018)

Assessment of Hybrid High-Order methods on curved meshes and comparison with discontinuous Galerkin methods. - Lorenzo Botti; Daniele A. Di Pietro (J. Comput. Phys., 2018)

Discontinuous Skeletal Gradient Discretisation methods on polytopal meshes. - Daniele A. Di Pietro; Jérôme Droniou; Gianmarco Manzini (J. Comput. Phys., 2018)

Weighted interior penalty discretization of fully nonlinear and weakly dispersive free surface shallow water flows. - Daniele A. Di Pietro; Fabien Marche (J. Comput. Phys., 2018)

An Advection-Robust Hybrid High-Order Method for the Oseen Problem. - Joubine Aghili; Daniele A. Di Pietro (J. Sci. Comput., 2018)

A Hybrid High-Order Method for the Steady Incompressible Navier-Stokes Problem. - Daniele A. Di Pietro; Stella Krell (J. Sci. Comput., 2018)

A Hybrid High-Order Method for Darcy Flows in Fractured Porous Media. - Florent Chave; Daniele A. Di Pietro; Luca Formaggia (SIAM J. Sci. Comput., 2018)

A high-order discretization of nonlinear poroelasticity. - Michele Botti; Daniele A. Di Pietro; Pierre Sochala (CoRR, 2019)

Fully discrete polynomial de Rham sequences of arbitrary degree on polygons and polyhedra. - Daniele A. Di Pietro; Jérôme Droniou; Francesca Rapetti (CoRR, 2019)

A Hybrid High-Order method for the incompressible Navier-Stokes equations based on Temam's device. - Lorenzo Botti; Daniele A. Di Pietro; Jérôme Droniou (J. Comput. Phys., 2019)

Preface: Special Issue on Model Reduction. - Tony Lelièvre; Simona Perotto; Gianluigi Rozza; Daniele A. Di Pietro; Alexandre Ern; Luca Formaggia (J. Sci. Comput., 2019)

A Hybrid High-Order method for the incompressible Navier-Stokes problem robust for large irrotational body forces. - Daniel Castanon Quiroz; Daniele A. Di Pietro (Comput. Math. Appl., 2020)

A Hybrid High-Order Discretization Method for Nonlinear Poroelasticity. - Michele Botti; Daniele A. Di Pietro; Pierre Sochala (Comput. Methods Appl. Math., 2020)

A Hybrid High-Order method for creeping flows of non-Newtonian fluids. - Michele Botti; Daniel Castanon Quiroz; Daniele A. Di Pietro; André Harnist (CoRR, 2020)

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 (CoRR, 2020)

p-Multilevel preconditioners for HHO discretizations of the Stokes equations with static condensation. - Lorenzo Botti; Daniele Antonio Di Pietro (CoRR, 2020)

Improved error estimates for Hybrid High-Order discretizations of Leray-Lions problems. - Daniele Antonio Di Pietro; Jérôme Droniou; André Harnist (CoRR, 2020)

An abstract analysis framework for monolithic discretisations of poroelasticity with application to Hybrid High-Order methods. - Lorenzo Botti; Michele Botti; Daniele A. Di Pietro (Comput. Math. Appl., 2021)

A DDR method for the Reissner-Mindlin plate bending problem on polygonal meshes. - Daniele A. Di Pietro; Jérôme Droniou (CoRR, 2021)

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 (CoRR, 2021)

Arbitrary-order pressure-robust DDR and VEM methods for the Stokes problem on polyhedral meshes. - Lourenço Beirão da Veiga; Franco Dassi; Daniele A. Di Pietro; Jérôme Droniou (CoRR, 2021)

An arbitrary-order method for magnetostatics on polyhedral meshes based on a discrete de Rham sequence. - Daniele A. Di Pietro; Jérôme Droniou (J. Comput. Phys., 2021)

An H-Multigrid Method for Hybrid High-Order Discretizations. - Daniele A. Di Pietro; Frank Hülsemann; Pierre Matalon; Paul Mycek; Ulrich Rüde; Daniel Ruiz 002 (SIAM J. Sci. Comput., 2021)

A discrete de Rham method for the Reissner-Mindlin plate bending problem on polygonal meshes. - Daniele A. Di Pietro; Jérôme Droniou (Comput. Math. Appl., 2022)

A posteriori error estimates via equilibrated stress reconstructions for contact problems approximated by Nitsche's method. - Daniele A. Di Pietro; Ilaria Fontana; Kyrylo Kazymyrenko (Comput. Math. Appl., 2022)

Homological- and analytical-preserving serendipity framework for polytopal complexes, with application to the DDR method. - Daniele A. Di Pietro; Jérôme Droniou (CoRR, 2022)

A pressure-robust HHO method for the solution of the incompressible Navier-Stokes equations on general meshes. - Daniel Castanon Quiroz; Daniele A. Di Pietro (CoRR, 2022)

A serendipity fully discrete div-div complex on polygonal meshes. - Michele Botti; Daniele A. Di Pietro; Marwa Salah (CoRR, 2022)

Cohomology of the discrete de Rham complex on domains of general topology. - Daniele A. Di Pietro; Jérôme Droniou; Silvano Pitassi (CoRR, 2022)

An arbitrary-order discrete rot-rot complex on polygonal meshes with application to a quad-rot problem. - Daniele A. Di Pietro (CoRR, 2022)

A fully discrete plates complex on polygonal meshes with application to the Kirchhoff-Love problem. - Daniele A. Di Pietro; Jérôme Droniou (Math. Comput., 2022)

A polytopal method for the Brinkman problem robust in all regimes. - Daniele A. Di Pietro; Jérôme Droniou (CoRR, 2023)

An exterior calculus framework for polytopal methods. - Francesco Bonaldi; Daniele A. Di Pietro; Jérôme Droniou; Kaibo Hu (CoRR, 2023)

A discrete three-dimensional divdiv complex on polyhedral meshes with application to a mixed formulation of the biharmonic problem. - Daniele A. Di Pietro; Marien-Lorenzo Hanot (CoRR, 2023)

Uniform Poincaré inequalities for the Discrete de Rham complex on general domains. - Daniele A. Di Pietro; Marien-Lorenzo Hanot (CoRR, 2023)

High-order multigrid strategies for hybrid high-order discretizations of elliptic equations. - Daniele A. Di Pietro; Pierre Matalon; Paul Mycek; Ulrich Rüde (Numer. Linear Algebra Appl., 2023)

An Arbitrary-Order Discrete de Rham Complex on Polyhedral Meshes: Exactness, Poincaré Inequalities, and Consistency. - Daniele A. Di Pietro; Jérôme Droniou (Found. Comput. Math., 2023)

Algebraic Multigrid Preconditioner for Statically Condensed Systems Arising from Lowest-Order Hybrid Discretizations. - Daniele A. Di Pietro; Frank Hülsemann; Pierre Matalon; Paul Mycek; Ulrich Rüde (SIAM J. Sci. Comput., 2023)

An a posteriori error analysis based on equilibrated stresses for finite element approximations of frictional contact. - Ilaria Fontana; Daniele A. Di Pietro (CoRR, 2024)

A pressure-robust Discrete de Rham scheme for the Navier-Stokes equations. - Daniele A. Di Pietro; Jérôme Droniou; Jia Jia Qian (CoRR, 2024)

A Péclet-robust discontinuous Galerkin method for nonlinear diffusion with advection. - Lourenço Beirão da Veiga; Daniele A. Di Pietro; Kirubell B. Haile (CoRR, 2024)

Homogeneous multigrid for hybrid discretizations: application to HHO methods. - Daniele A. Di Pietro; Zhaonan Dong; Guido Kanschat; Pierre Matalon; Andreas Rupp (CoRR, 2024)

Stability, convergence, and pressure-robustness of numerical schemes for incompressible flows with hybrid velocity and pressure. - Lorenzo Botti; Michele Botti; Daniele Antonio Di Pietro; Francesco Carlo Massa (CoRR, 2024)

Serendipity discrete complexes with enhanced regularity. - Daniele A. Di Pietro; Marien Hanot; Marwa Salah (CoRR, 2024)

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 (CoRR, 2024)

A discrete de Rham discretization of interface diffusion problems with application to the Leaky Dielectric Model. - Daniele A. Di Pietro; Simon Mendez; Aurelio Edoardo Spadotto (J. Comput. Phys., 2025)

Uniform Poincaré inequalities for the discrete de Rham complex of differential forms. - Daniele A. Di Pietro; Jérôme Droniou; Marien-Lorenzo Hanot; Silvano Pitassi (CoRR, 2025)

A Reynolds-semi-robust method with hybrid velocity and pressure for the unsteady incompressible Navier-Stokes equations. - Lourenço Beirão da Veiga; Daniele A. Di Pietro; Jérôme Droniou; Kirubell B. Haile; Thomas J. Radley (CoRR, 2025)

From Finite Elements to Hybrid High-Order methods. - Daniele A. Di Pietro; Jérôme Droniou (CoRR, 2025)

A Reynolds-semi-robust H(div)-conforming method for unsteady incompressible non-Newtonian flows. - Lourenço Beirão da Veiga; Daniele A. Di Pietro; Kirubell B. Haile (CoRR, 2025)

Hybrid High-Order formulations with turbulence modelling capabilities for incompressible flow problems. - Lorenzo Botti; Daniele Antonio Di Pietro; Francesco Carlo Massa (CoRR, 2025)

A Hybrid High-Order method for the power-law Brinkman problem robust in all regimes. - Daniel Castanon Quiroz; Daniele A. Di Pietro; Jérôme Droniou; Marwa Salah (CoRR, 2025)

Hyperelastic nature of the Hoek-Brown criterion. - Ilaria Fontana; Goustan Bacquaert; Daniele A. Di Pietro; Kyrylo Kazymyrenko (CoRR, 2025)

Design and analysis of twisted and BGG Stokes-de Rham polytopal complexes. - Daniele A. Di Pietro; Jérôme Droniou; Kaibo Hu; Arax Leroy (CoRR, 2025)