Daniele A. Di Pietro

Publication Activity (10 Years)

Years Active: 2006-2024
Publications (10 Years): 50

Top Topics

Error Estimates

Discretization Method

Stopping Criteria

Mesh Refinement

Top Venues

J. Comput. Phys.

Comput. Math. Appl.

Comput. Methods Appl. Math.

Publications

Daniele A. Di Pietro, Zhaonan Dong, Guido Kanschat, Pierre Matalon, Andreas Rupp
Homogeneous multigrid for hybrid discretizations: application to HHO methods. CoRR (2024)
Ilaria Fontana, Daniele A. Di Pietro
An a posteriori error analysis based on equilibrated stresses for finite element approximations of frictional contact. CoRR (2024)
Lourenço Beirão da Veiga, Daniele A. Di Pietro, Kirubell B. Haile
A Péclet-robust discontinuous Galerkin method for nonlinear diffusion with advection. CoRR (2024)
Daniele A. Di Pietro, Jérôme Droniou, Jia Jia Qian
A pressure-robust Discrete de Rham scheme for the Navier-Stokes equations. CoRR (2024)
Daniele A. Di Pietro, Marien Hanot, Marwa Salah
Serendipity discrete complexes with enhanced regularity. CoRR (2024)
Francesco Bonaldi, Daniele A. Di Pietro, Jérôme Droniou, Kaibo Hu
An exterior calculus framework for polytopal methods. CoRR (2023)
Daniele A. Di Pietro, Marien-Lorenzo Hanot
A discrete three-dimensional divdiv complex on polyhedral meshes with application to a mixed formulation of the biharmonic problem. CoRR (2023)
Daniele A. Di Pietro, Pierre Matalon, Paul Mycek, Ulrich Rüde
High-order multigrid strategies for hybrid high-order discretizations of elliptic equations. Numer. Linear Algebra Appl. 30 (1) (2023)
Daniele A. Di Pietro, Marien-Lorenzo Hanot
Uniform Poincaré inequalities for the Discrete de Rham complex on general domains. CoRR (2023)
Daniele A. Di Pietro, Frank Hülsemann, Pierre Matalon, Paul Mycek, Ulrich Rüde
Algebraic Multigrid Preconditioner for Statically Condensed Systems Arising from Lowest-Order Hybrid Discretizations. SIAM J. Sci. Comput. 45 (3) (2023)
Daniele A. Di Pietro, Jérôme Droniou
An Arbitrary-Order Discrete de Rham Complex on Polyhedral Meshes: Exactness, Poincaré Inequalities, and Consistency. Found. Comput. Math. 23 (1) (2023)
Daniele A. Di Pietro, Jérôme Droniou
A polytopal method for the Brinkman problem robust in all regimes. CoRR (2023)
Daniele A. Di Pietro, Jérôme Droniou
Homological- and analytical-preserving serendipity framework for polytopal complexes, with application to the DDR method. CoRR (2022)
Daniele A. Di Pietro, Jérôme Droniou
A discrete de Rham method for the Reissner-Mindlin plate bending problem on polygonal meshes. Comput. Math. Appl. 125 (2022)
Daniele A. Di Pietro, Jérôme Droniou
A fully discrete plates complex on polygonal meshes with application to the Kirchhoff-Love problem. Math. Comput. 92 (339) (2022)
Daniele A. Di Pietro, Ilaria Fontana, Kyrylo Kazymyrenko
A posteriori error estimates via equilibrated stress reconstructions for contact problems approximated by Nitsche's method. Comput. Math. Appl. 111 (2022)
Daniele A. Di Pietro
An arbitrary-order discrete rot-rot complex on polygonal meshes with application to a quad-rot problem. CoRR (2022)
Michele Botti, Daniele A. Di Pietro, Marwa Salah
A serendipity fully discrete div-div complex on polygonal meshes. CoRR (2022)
Daniel Castanon Quiroz, Daniele A. Di Pietro
A pressure-robust HHO method for the solution of the incompressible Navier-Stokes equations on general meshes. CoRR (2022)
Daniele A. Di Pietro, Jérôme Droniou, Silvano Pitassi
Cohomology of the discrete de Rham complex on domains of general topology. CoRR (2022)
Daniele A. Di Pietro, Jérôme Droniou
An arbitrary-order method for magnetostatics on polyhedral meshes based on a discrete de Rham sequence. J. Comput. Phys. 429 (2021)
Daniele A. Di Pietro, Frank Hülsemann, Pierre Matalon, Paul Mycek, Ulrich Rüde, Daniel Ruiz
An H-Multigrid Method for Hybrid High-Order Discretizations. SIAM J. Sci. Comput. 43 (5) (2021)
Lorenzo Botti, Michele Botti, Daniele A. Di Pietro
An abstract analysis framework for monolithic discretisations of poroelasticity with application to Hybrid High-Order methods. Comput. Math. Appl. 91 (2021)
Daniele A. Di Pietro, Jérôme Droniou
A DDR method for the Reissner-Mindlin plate bending problem on polygonal meshes. CoRR (2021)
Daniele A. Di Pietro, Jérôme Droniou
A fully discrete plates complex on polygonal meshes with application to the Kirchhoff-Love problem. CoRR (2021)
Lourenço Beirão da Veiga, Franco Dassi, Daniele A. Di Pietro, Jérôme Droniou
Arbitrary-order pressure-robust DDR and VEM methods for the Stokes problem on polyhedral meshes. CoRR (2021)
Michele Botti, Daniel Castanon Quiroz, Daniele A. Di Pietro, André Harnist
A Hybrid High-Order method for creeping flows of non-Newtonian fluids. CoRR (2020)
Daniel Castanon Quiroz, Daniele A. Di Pietro
A Hybrid High-Order method for the incompressible Navier-Stokes problem robust for large irrotational body forces. Comput. Math. Appl. 79 (9) (2020)
Michele Botti, Daniele A. Di Pietro, Pierre Sochala
A Hybrid High-Order Discretization Method for Nonlinear Poroelasticity. Comput. Methods Appl. Math. 20 (2) (2020)
Florent Chave, Daniele A. Di Pietro, Simon Lemaire
A discrete Weber inequality on three-dimensional hybrid spaces with application to the HHO approximation of magnetostatics. CoRR (2020)
Daniele A. Di Pietro, Jérôme Droniou
An arbitrary-order method for magnetostatics on polyhedral meshes based on a discrete de Rham sequence. CoRR (2020)
Tony Lelièvre, Simona Perotto, Gianluigi Rozza, Daniele A. Di Pietro, Alexandre Ern, Luca Formaggia
Preface: Special Issue on Model Reduction. J. Sci. Comput. 81 (1) (2019)
Lorenzo Botti, Daniele A. Di Pietro, Jérôme Droniou
A Hybrid High-Order method for the incompressible Navier-Stokes equations based on Temam's device. J. Comput. Phys. 376 (2019)
Daniele A. Di Pietro, Jérôme Droniou, Francesca Rapetti
Fully discrete polynomial de Rham sequences of arbitrary degree on polygons and polyhedra. CoRR (2019)
Lorenzo Botti, Michele Botti, Daniele A. Di Pietro
An abstract analysis framework for monolithic discretisations of poroelasticity with application to Hybrid High-Order methods. CoRR (2019)
Michele Botti, Daniele A. Di Pietro, Pierre Sochala
A high-order discretization of nonlinear poroelasticity. CoRR (2019)
Joubine Aghili, Daniele A. Di Pietro
An Advection-Robust Hybrid High-Order Method for the Oseen Problem. J. Sci. Comput. 77 (3) (2018)
Daniele A. Di Pietro, Fabien Marche
Weighted interior penalty discretization of fully nonlinear and weakly dispersive free surface shallow water flows. J. Comput. Phys. 355 (2018)
Matteo Cicuttin, Daniele A. Di Pietro, Alexandre Ern
Implementation of Discontinuous Skeletal methods on arbitrary-dimensional, polytopal meshes using generic programming. J. Comput. Appl. Math. 344 (2018)
Daniele A. Di Pietro, Stella Krell
A Hybrid High-Order Method for the Steady Incompressible Navier-Stokes Problem. J. Sci. Comput. 74 (3) (2018)
Florent Chave, Daniele A. Di Pietro, Luca Formaggia
A Hybrid High-Order Method for Darcy Flows in Fractured Porous Media. SIAM J. Sci. Comput. 40 (2) (2018)
Lorenzo Botti, Daniele A. Di Pietro
Assessment of Hybrid High-Order methods on curved meshes and comparison with discontinuous Galerkin methods. J. Comput. Phys. 370 (2018)
Daniele A. Di Pietro, Jérôme Droniou, Gianmarco Manzini
Discontinuous Skeletal Gradient Discretisation methods on polytopal meshes. J. Comput. Phys. 355 (2018)
Michele Botti, Daniele A. Di Pietro, Pierre Sochala
A Hybrid High-Order Method for Nonlinear Elasticity. SIAM J. Numer. Anal. 55 (6) (2017)
Joubine Aghili, Daniele A. Di Pietro, Berardo Ruffini
An hp-Hybrid High-Order Method for Variable Diffusion on General Meshes. Comput. Methods Appl. Math. 17 (3) (2017)
Rita Riedlbeck, Daniele A. Di Pietro, Alexandre Ern, Sylvie Granet, Kyrylo Kazymyrenko
Stress and flux reconstruction in Biot's poro-elasticity problem with application to a posteriori error analysis. Comput. Math. Appl. 73 (7) (2017)
Daniele A. Di Pietro, Jérôme Droniou
A Hybrid High-Order method for Leray-Lions elliptic equations on general meshes. Math. Comput. 86 (307) (2017)
Daniele A. Di Pietro, Ruben Specogna
An a posteriori-driven adaptive Mixed High-Order method with application to electrostatics. J. Comput. Phys. 326 (2016)
Daniele Boffi, Michele Botti, Daniele A. Di Pietro
A Nonconforming High-Order Method for the Biot Problem on General Meshes. SIAM J. Sci. Comput. 38 (3) (2016)
Florent Chave, Daniele A. Di Pietro, Fabien Marche, Franck Pigeonneau
A Hybrid High-Order Method for the Cahn-Hilliard problem in Mixed Form. SIAM J. Numer. Anal. 54 (3) (2016)
Joubine Aghili, Sébastien Boyaval, Daniele A. Di Pietro
Hybridization of Mixed High-Order Methods on General Meshes and Application to the Stokes Equations. Comput. Methods Appl. Math. 15 (2) (2015)
Daniele A. Di Pietro, Simon Lemaire
An extension of the Crouzeix-Raviart space to general meshes with application to quasi-incompressible linear elasticity and Stokes flow. Math. Comput. 84 (291) (2015)
Daniele A. Di Pietro, Jérôme Droniou, Alexandre Ern
A Discontinuous-Skeletal Method for Advection-Diffusion-Reaction on General Meshes. SIAM J. Numer. Anal. 53 (5) (2015)
Jérôme Bonelle, Daniele A. Di Pietro, Alexandre Ern
Low-order reconstruction operators on polyhedral meshes: application to compatible discrete operator schemes. Comput. Aided Geom. Des. (2015)
Daniele A. Di Pietro, Martin Vohralík, Soleiman Yousef
Adaptive regularization, linearization, and discretization and a posteriori error control for the two-phase Stefan problem. Math. Comput. 84 (291) (2015)
Daniele A. Di Pietro, Eric Flauraud, Martin Vohralík, Soleiman Yousef
A posteriori error estimates, stopping criteria, and adaptivity for multiphase compositional Darcy flows in porous media. J. Comput. Phys. 276 (2014)
Daniele A. Di Pietro, Martin Vohralík, Soleiman Yousef
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. 68 (12) (2014)
Daniele A. Di Pietro, Alexandre Ern, Simon Lemaire
An Arbitrary-Order and Compact-Stencil Discretization of Diffusion on General Meshes Based on Local Reconstruction Operators. Comput. Methods Appl. Math. 14 (4) (2014)
Francesco Bassi, Lorenzo Botti, Alessandro Colombo, Daniele A. Di Pietro, P. Tesini
On the flexibility of agglomeration based physical space discontinuous Galerkin discretizations. J. Comput. Phys. 231 (1) (2012)
Lorenzo Botti, Daniele A. Di Pietro
A pressure-correction scheme for convection-dominated incompressible flows with discontinuous velocity and continuous pressure. J. Comput. Phys. 230 (3) (2011)
Daniele A. Di Pietro, Alexandre Ern
Discrete functional analysis tools for Discontinuous Galerkin methods with application to the incompressible Navier-Stokes equations. Math. Comput. 79 (271) (2010)
Daniele A. Di Pietro, Alexandre Ern, Jean-Luc Guermond
Discontinuous Galerkin Methods for Anisotropic Semidefinite Diffusion with Advection. SIAM J. Numer. Anal. 46 (2) (2008)
Francesco Bassi, Andrea Crivellini, Daniele A. Di Pietro, Stefano Rebay
An artificial compressibility flux for the discontinuous Galerkin solution of the incompressible Navier-Stokes equations. J. Comput. Phys. 218 (2) (2006)