Daniele A. Di Pietro

81 papers Journal 81

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	A Reynolds- and Hartmann-semirobust hybrid method for magnetohydrodynamics. CoRR Daniele A. Di Pietro, Jérôme Droniou, Vito Patierno
2026	J	`jnl`	A low-order hybrid method for the variable-density incompressible Navier-Stokes equations. CoRR Mathias Dauphin, Daniele A. Di Pietro, Jérôme Droniou, Alexandros Skouras
2026	J	`jnl`	Hybrid Methods for Friedrichs Systems with Application to Scalar and Vector Diffusion-Advection Problems. CoRR Daniele A. Di Pietro, Aurelio Edoardo Spadotto
2025	J	`jnl`	A Hybrid High-Order method for the power-law Brinkman problem robust in all regimes. CoRR Daniel Castanon Quiroz, Daniele A. Di Pietro, Jérôme Droniou, Marwa Salah
2025	J	`jnl`	A Hybrid-High Order method for fracture modelling. CoRR Alessandra Crippa, Julien Coatléven, Daniele A. Di Pietro, Nicolas Guy, Soleiman Yousef
2025	J	`jnl`	A Reynolds-SemiRobust Method with Hybrid Velocity and Pressure for the Unsteady Incompressible Navier-Stokes Equations. SIAM J. Numer. Anal. L. Beirão da Veiga, Daniele A. Di Pietro, Jérôme Droniou, Kirubell B. Haile, Thomas J. Radley
2025	J	`jnl`	A Reynolds-semi-robust H(div)-conforming method for unsteady incompressible non-Newtonian flows. CoRR Lourenço Beirão da Veiga, Daniele A. Di Pietro, Kirubell B. Haile
2025	J	`jnl`	A Reynolds-semi-robust method with hybrid velocity and pressure for the unsteady incompressible Navier-Stokes equations. CoRR Lourenço Beirão da Veiga, Daniele A. Di Pietro, Jérôme Droniou, Kirubell B. Haile, Thomas J. Radley
2025	J	`jnl`	A discrete de Rham discretization of interface diffusion problems with application to the Leaky Dielectric Model. J. Comput. Phys. Daniele A. Di Pietro, Simon Mendez, Aurelio Edoardo Spadotto
2025	J	`jnl`	Conforming lifting and adjoint consistency for the Discrete de Rham complex of differential forms. CoRR Daniele A. Di Pietro, Jérôme Droniou, Silvano Pitassi
2025	J	`jnl`	Design and analysis of twisted and BGG Stokes-de Rham polytopal complexes. CoRR Daniele A. Di Pietro, Jérôme Droniou, Kaibo Hu, Arax Leroy
2025	J	`jnl`	From Finite Elements to Hybrid High-Order methods. CoRR Daniele A. Di Pietro, Jérôme Droniou
2025	J	`jnl`	Ghost stabilisation for cut finite element exterior calculus. CoRR Daniele A. Di Pietro, Jérôme Droniou, Erik Nilsson
2025	J	`jnl`	Hyperelastic nature of the Hoek-Brown criterion. CoRR Ilaria Fontana, Goustan Bacquaert, Daniele A. Di Pietro, Kyrylo Kazymyrenko
2025	J	`jnl`	Stability, convergence, and pressure-robustness of numerical schemes for incompressible flows with hybrid velocity and pressure. Math. Comput. Lorenzo Botti, Michele Botti, Daniele A. Di Pietro, Francesco Carlo Massa
2025	J	`jnl`	Uniform Poincaré inequalities for the discrete de Rham complex of differential forms. CoRR Daniele A. Di Pietro, Jérôme Droniou, Marien-Lorenzo Hanot, Silvano Pitassi
2024	J	`jnl`	A Péclet-robust discontinuous Galerkin method for nonlinear diffusion with advection. CoRR Lourenço Beirão da Veiga, Daniele A. Di Pietro, Kirubell B. Haile
2024	J	`jnl`	A Reynolds-semi-robust and pressure robust Hybrid High-Order method for the time dependent incompressible Navier-Stokes equations on general meshes. CoRR Daniel Castanon Quiroz, Daniele A. Di Pietro
2024	J	`jnl`	A discrete de Rham discretization of interface diffusion problems with application to the Leaky Dielectric Model. CoRR Daniele A. Di Pietro, Simon Mendez, Aurelio Edoardo Spadotto
2024	J	`jnl`	A pressure-robust Discrete de Rham scheme for the Navier-Stokes equations. CoRR Daniele A. Di Pietro, Jérôme Droniou, Jia Jia Qian
2024	J	`jnl`	An a posteriori error analysis based on equilibrated stresses for finite element approximations of frictional contact. CoRR Ilaria Fontana, Daniele A. Di Pietro
2024	J	`jnl`	Homogeneous multigrid for hybrid discretizations: application to HHO methods. CoRR Daniele A. Di Pietro, Zhaonan Dong, Guido Kanschat, Pierre Matalon, Andreas Rupp
2024	J	`jnl`	Serendipity discrete complexes with enhanced regularity. CoRR Daniele A. Di Pietro, Marien Hanot, Marwa Salah
2023	J	`jnl`	A discrete three-dimensional divdiv complex on polyhedral meshes with application to a mixed formulation of the biharmonic problem. CoRR Daniele A. Di Pietro, Marien-Lorenzo Hanot
2023	J	`jnl`	A polytopal method for the Brinkman problem robust in all regimes. CoRR Daniele A. Di Pietro, Jérôme Droniou
2023	J	`jnl`	Algebraic Multigrid Preconditioner for Statically Condensed Systems Arising from Lowest-Order Hybrid Discretizations. SIAM J. Sci. Comput. Daniele A. Di Pietro, Frank Hülsemann, Pierre Matalon, Paul Mycek, Ulrich Rüde
2023	J	`jnl`	An Arbitrary-Order Discrete de Rham Complex on Polyhedral Meshes: Exactness, Poincaré Inequalities, and Consistency. Found. Comput. Math. Daniele A. Di Pietro, Jérôme Droniou
2023	J	`jnl`	An exterior calculus framework for polytopal methods. CoRR Francesco Bonaldi, Daniele A. Di Pietro, Jérôme Droniou, Kaibo Hu
2023	J	`jnl`	High-order multigrid strategies for hybrid high-order discretizations of elliptic equations. Numer. Linear Algebra Appl. Daniele A. Di Pietro, Pierre Matalon, Paul Mycek, Ulrich Rüde
2023	J	`jnl`	Uniform Poincaré inequalities for the Discrete de Rham complex on general domains. CoRR Daniele A. Di Pietro, Marien-Lorenzo Hanot
2022	J	`jnl`	A discrete de Rham method for the Reissner-Mindlin plate bending problem on polygonal meshes. Comput. Math. Appl. Daniele A. Di Pietro, Jérôme Droniou
2022	J	`jnl`	A fully discrete plates complex on polygonal meshes with application to the Kirchhoff-Love problem. Math. Comput. Daniele A. Di Pietro, Jérôme Droniou
2022	J	`jnl`	A posteriori error estimates via equilibrated stress reconstructions for contact problems approximated by Nitsche's method. Comput. Math. Appl. Daniele A. Di Pietro, Ilaria Fontana, Kyrylo Kazymyrenko
2022	J	`jnl`	A pressure-robust HHO method for the solution of the incompressible Navier-Stokes equations on general meshes. CoRR Daniel Castanon Quiroz, Daniele A. Di Pietro
2022	J	`jnl`	A serendipity fully discrete div-div complex on polygonal meshes. CoRR Michele Botti, Daniele A. Di Pietro, Marwa Salah
2022	J	`jnl`	An arbitrary-order discrete rot-rot complex on polygonal meshes with application to a quad-rot problem. CoRR Daniele A. Di Pietro
2022	J	`jnl`	Cohomology of the discrete de Rham complex on domains of general topology. CoRR Daniele A. Di Pietro, Jérôme Droniou, Silvano Pitassi
2022	J	`jnl`	Homological- and analytical-preserving serendipity framework for polytopal complexes, with application to the DDR method. CoRR Daniele A. Di Pietro, Jérôme Droniou
2021	J	`jnl`	A DDR method for the Reissner-Mindlin plate bending problem on polygonal meshes. CoRR Daniele A. Di Pietro, Jérôme Droniou
2021	J	`jnl`	A fully discrete plates complex on polygonal meshes with application to the Kirchhoff-Love problem. CoRR Daniele A. Di Pietro, Jérôme Droniou
2021	J	`jnl`	An H-Multigrid Method for Hybrid High-Order Discretizations. SIAM J. Sci. Comput. Daniele A. Di Pietro, Frank Hülsemann, Pierre Matalon, Paul Mycek, Ulrich Rüde, Daniel Ruiz
2021	J	`jnl`	An abstract analysis framework for monolithic discretisations of poroelasticity with application to Hybrid High-Order methods. Comput. Math. Appl. Lorenzo Botti, Michele Botti, Daniele A. Di Pietro
2021	J	`jnl`	An arbitrary-order method for magnetostatics on polyhedral meshes based on a discrete de Rham sequence. J. Comput. Phys. Daniele A. Di Pietro, Jérôme Droniou
2021	J	`jnl`	Arbitrary-order pressure-robust DDR and VEM methods for the Stokes problem on polyhedral meshes. CoRR Lourenço Beirão da Veiga, Franco Dassi, Daniele A. Di Pietro, Jérôme Droniou
2020	J	`jnl`	A Hybrid High-Order Discretization Method for Nonlinear Poroelasticity. Comput. Methods Appl. Math. Michele Botti, Daniele A. Di Pietro, Pierre Sochala
2020	J	`jnl`	A Hybrid High-Order method for creeping flows of non-Newtonian fluids. CoRR Michele Botti, Daniel Castanon Quiroz, Daniele A. Di Pietro, André Harnist
2020	J	`jnl`	A Hybrid High-Order method for the incompressible Navier-Stokes problem robust for large irrotational body forces. Comput. Math. Appl. Daniel Castanon Quiroz, Daniele A. Di Pietro
2020	J	`jnl`	A discrete Weber inequality on three-dimensional hybrid spaces with application to the HHO approximation of magnetostatics. CoRR Florent Chave, Daniele A. Di Pietro, Simon Lemaire
2020	J	`jnl`	An arbitrary-order method for magnetostatics on polyhedral meshes based on a discrete de Rham sequence. CoRR Daniele A. Di Pietro, Jérôme Droniou
2019	J	`jnl`	A Hybrid High-Order method for the incompressible Navier-Stokes equations based on Temam's device. J. Comput. Phys. Lorenzo Botti, Daniele A. Di Pietro, Jérôme Droniou
2019	J	`jnl`	A high-order discretization of nonlinear poroelasticity. CoRR Michele Botti, Daniele A. Di Pietro, Pierre Sochala
2019	J	`jnl`	An abstract analysis framework for monolithic discretisations of poroelasticity with application to Hybrid High-Order methods. CoRR Lorenzo Botti, Michele Botti, Daniele A. Di Pietro
2019	J	`jnl`	Fully discrete polynomial de Rham sequences of arbitrary degree on polygons and polyhedra. CoRR Daniele A. Di Pietro, Jérôme Droniou, Francesca Rapetti
2019	J	`jnl`	Preface: Special Issue on Model Reduction. J. Sci. Comput. Tony Lelièvre, Simona Perotto, Gianluigi Rozza, Daniele A. Di Pietro, Alexandre Ern, Luca Formaggia
2018	J	`jnl`	A Hybrid High-Order Method for Darcy Flows in Fractured Porous Media. SIAM J. Sci. Comput. Florent Chave, Daniele A. Di Pietro, Luca Formaggia
2018	J	`jnl`	A Hybrid High-Order Method for the Steady Incompressible Navier-Stokes Problem. J. Sci. Comput. Daniele A. Di Pietro, Stella Krell
2018	J	`jnl`	An Advection-Robust Hybrid High-Order Method for the Oseen Problem. J. Sci. Comput. Joubine Aghili, Daniele A. Di Pietro
2018	J	`jnl`	Assessment of Hybrid High-Order methods on curved meshes and comparison with discontinuous Galerkin methods. J. Comput. Phys. Lorenzo Botti, Daniele A. Di Pietro
2018	J	`jnl`	Discontinuous Skeletal Gradient Discretisation methods on polytopal meshes. J. Comput. Phys. Daniele A. Di Pietro, Jérôme Droniou, Gianmarco Manzini
2018	J	`jnl`	Implementation of Discontinuous Skeletal methods on arbitrary-dimensional, polytopal meshes using generic programming. J. Comput. Appl. Math. Matteo Cicuttin, Daniele A. Di Pietro, Alexandre Ern
2018	J	`jnl`	Weighted interior penalty discretization of fully nonlinear and weakly dispersive free surface shallow water flows. J. Comput. Phys. Daniele A. Di Pietro, Fabien Marche
2017	J	`jnl`	A Hybrid High-Order Method for Nonlinear Elasticity. SIAM J. Numer. Anal. Michele Botti, Daniele A. Di Pietro, Pierre Sochala
2017	J	`jnl`	A Hybrid High-Order method for Leray-Lions elliptic equations on general meshes. Math. Comput. Daniele A. Di Pietro, Jérôme Droniou
2017	J	`jnl`	An hp-Hybrid High-Order Method for Variable Diffusion on General Meshes. Comput. Methods Appl. Math. Joubine Aghili, Daniele A. Di Pietro, Berardo Ruffini
2017	J	`jnl`	Stress and flux reconstruction in Biot's poro-elasticity problem with application to a posteriori error analysis. Comput. Math. Appl. Rita Riedlbeck, Daniele A. Di Pietro, Alexandre Ern, Sylvie Granet, Kyrylo Kazymyrenko
2016	J	`jnl`	A Hybrid High-Order Method for the Cahn-Hilliard problem in Mixed Form. SIAM J. Numer. Anal. Florent Chave, Daniele A. Di Pietro, Fabien Marche, Franck Pigeonneau
2016	J	`jnl`	A Nonconforming High-Order Method for the Biot Problem on General Meshes. SIAM J. Sci. Comput. Daniele Boffi, Michele Botti, Daniele A. Di Pietro
2016	J	`jnl`	An a posteriori-driven adaptive Mixed High-Order method with application to electrostatics. J. Comput. Phys. Daniele A. Di Pietro, Ruben Specogna
2015	J	`jnl`	A Discontinuous-Skeletal Method for Advection-Diffusion-Reaction on General Meshes. SIAM J. Numer. Anal. Daniele A. Di Pietro, Jérôme Droniou, Alexandre Ern
2015	J	`jnl`	Adaptive regularization, linearization, and discretization and a posteriori error control for the two-phase Stefan problem. Math. Comput. Daniele A. Di Pietro, Martin Vohralík, Soleiman Yousef
2015	J	`jnl`	An extension of the Crouzeix-Raviart space to general meshes with application to quasi-incompressible linear elasticity and Stokes flow. Math. Comput. Daniele A. Di Pietro, Simon Lemaire
2015	J	`jnl`	Hybridization of Mixed High-Order Methods on General Meshes and Application to the Stokes Equations. Comput. Methods Appl. Math. Joubine Aghili, Sébastien Boyaval, Daniele A. Di Pietro
2015	J	`jnl`	Low-order reconstruction operators on polyhedral meshes: application to compatible discrete operator schemes. Comput. Aided Geom. Des. Jérôme Bonelle, Daniele A. Di Pietro, Alexandre Ern
2014	J	`jnl`	A posteriori error estimates, stopping criteria, and adaptivity for multiphase compositional Darcy flows in porous media. J. Comput. Phys. Daniele A. Di Pietro, Eric Flauraud, Martin Vohralík, Soleiman Yousef
2014	J	`jnl`	An Arbitrary-Order and Compact-Stencil Discretization of Diffusion on General Meshes Based on Local Reconstruction Operators. Comput. Methods Appl. Math. Daniele A. Di Pietro, Alexandre Ern, Simon Lemaire
2014	J	`jnl`	An a posteriori-based, fully adaptive algorithm with adaptive stopping criteria and mesh refinement for thermal multiphase compositional flows in porous media. Comput. Math. Appl. Daniele A. Di Pietro, Martin Vohralík, Soleiman Yousef
2012	J	`jnl`	On the flexibility of agglomeration based physical space discontinuous Galerkin discretizations. J. Comput. Phys. Francesco Bassi, Lorenzo Botti, Alessandro Colombo, Daniele A. Di Pietro, P. Tesini
2011	J	`jnl`	A pressure-correction scheme for convection-dominated incompressible flows with discontinuous velocity and continuous pressure. J. Comput. Phys. Lorenzo Botti, Daniele A. Di Pietro
2010	J	`jnl`	Discrete functional analysis tools for Discontinuous Galerkin methods with application to the incompressible Navier-Stokes equations. Math. Comput. Daniele A. Di Pietro, Alexandre Ern
2008	J	`jnl`	Discontinuous Galerkin Methods for Anisotropic Semidefinite Diffusion with Advection. SIAM J. Numer. Anal. Daniele A. Di Pietro, Alexandre Ern, Jean-Luc Guermond
2006	J	`jnl`	An artificial compressibility flux for the discontinuous Galerkin solution of the incompressible Navier-Stokes equations. J. Comput. Phys. Francesco Bassi, Andrea Crivellini, Daniele A. Di Pietro, Stefano Rebay