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ORCIDDaniele A. Di Pietro
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Journal Articles
- 2023
[j40]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): 85-164 (2023)- [j39]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) - [j38]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): S329-S350 (2023) - 2022
- [j37]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: 61-80 (2022) - [j36]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: 136-149 (2022) - [j35]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): 51-77 (2022) - 2021
- [j34]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: 150-175 (2021) - [j33]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: 109991 (2021) - [j32]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): S839-S861 (2021) - 2020
- [j31]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): 2655-2677 (2020) - [j30]Michele Botti, Daniele A. Di Pietro, Pierre Sochala:
A Hybrid High-Order Discretization Method for Nonlinear Poroelasticity. Comput. Methods Appl. Math. 20(2): 227-249 (2020) - 2019
- [j29]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: 786-816 (2019) - [j28]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): 1-2 (2019) - 2018
- [j27]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: 852-874 (2018) - [j26]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: 285-309 (2018) - [j25]Daniele A. Di Pietro, Jérôme Droniou, Gianmarco Manzini:
Discontinuous Skeletal Gradient Discretisation methods on polytopal meshes. J. Comput. Phys. 355: 397-425 (2018) - [j24]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: 58-84 (2018) - [j23]Daniele A. Di Pietro, Stella Krell:
A Hybrid High-Order Method for the Steady Incompressible Navier-Stokes Problem. J. Sci. Comput. 74(3): 1677-1705 (2018) - [j22]Joubine Aghili, Daniele A. Di Pietro:
An Advection-Robust Hybrid High-Order Method for the Oseen Problem. J. Sci. Comput. 77(3): 1310-1338 (2018) - [j21]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) - 2017
- [j20]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): 1593-1610 (2017) - [j19]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): 359 (2017) - [j18]Daniele A. Di Pietro, Jérôme Droniou:
A Hybrid High-Order method for Leray-Lions elliptic equations on general meshes. Math. Comput. 86(307): 2159-2191 (2017) - [j17]Michele Botti, Daniele A. Di Pietro, Pierre Sochala:
A Hybrid High-Order Method for Nonlinear Elasticity. SIAM J. Numer. Anal. 55(6): 2687-2717 (2017) - 2016
- [j16]Daniele A. Di Pietro, Ruben Specogna:
An a posteriori-driven adaptive Mixed High-Order method with application to electrostatics. J. Comput. Phys. 326: 35-55 (2016) - [j15]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): 1873-1898 (2016) - [j14]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) - 2015
- [j13]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. 35-36: 27-41 (2015) - [j12]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): 111-134 (2015) - [j11]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): 1-31 (2015) - [j10]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): 153-186 (2015) - [j9]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): 2135-2157 (2015) - 2014
- [j8]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): 2331-2347 (2014) - [j7]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): 461-472 (2014) - [j6]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: 163-187 (2014) - 2012
- [j5]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): 45-65 (2012) - 2011
- [j4]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): 572-585 (2011) - 2010
- [j3]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): 1303-1330 (2010) - 2008
- [j2]Daniele A. Di Pietro, Alexandre Ern, Jean-Luc Guermond:
Discontinuous Galerkin Methods for Anisotropic Semidefinite Diffusion with Advection. SIAM J. Numer. Anal. 46(2): 805-831 (2008) - 2006
- [j1]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): 794-815 (2006)
Informal and Other Publications
- 2024
- [i27]Ilaria Fontana, Daniele A. Di Pietro:
An a posteriori error analysis based on equilibrated stresses for finite element approximations of frictional contact. CoRR abs/2401.02944 (2024) - [i26]Daniele A. Di Pietro, Jérôme Droniou, Jia Jia Qian:
A pressure-robust Discrete de Rham scheme for the Navier-Stokes equations. CoRR abs/2401.04456 (2024) - [i25]Lourenço Beirão da Veiga, Daniele A. Di Pietro, Kirubell B. Haile:
A Péclet-robust discontinuous Galerkin method for nonlinear diffusion with advection. CoRR abs/2402.09814 (2024) - [i24]Daniele A. Di Pietro, Zhaonan Dong, Guido Kanschat, Pierre Matalon, Andreas Rupp:
Homogeneous multigrid for hybrid discretizations: application to HHO methods. CoRR abs/2403.15858 (2024) - 2023
- [i23]Daniele A. Di Pietro, Jérôme Droniou:
A polytopal method for the Brinkman problem robust in all regimes. CoRR abs/2301.03272 (2023) - [i22]Francesco Bonaldi, Daniele A. Di Pietro, Jérôme Droniou, Kaibo Hu:
An exterior calculus framework for polytopal methods. CoRR abs/2303.11093 (2023) - [i21]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 abs/2305.05729 (2023) - [i20]Daniele A. Di Pietro, Marien-Lorenzo Hanot:
Uniform Poincaré inequalities for the Discrete de Rham complex on general domains. CoRR abs/2309.15667 (2023) - 2022
- [i19]Daniele A. Di Pietro, Jérôme Droniou:
Homological- and analytical-preserving serendipity framework for polytopal complexes, with application to the DDR method. CoRR abs/2203.02939 (2022) - [i18]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 abs/2203.07180 (2022) - [i17]Michele Botti, Daniele A. Di Pietro, Marwa Salah:
A serendipity fully discrete div-div complex on polygonal meshes. CoRR abs/2207.07194 (2022) - [i16]Daniele A. Di Pietro, Jérôme Droniou, Silvano Pitassi:
Cohomology of the discrete de Rham complex on domains of general topology. CoRR abs/2209.00957 (2022) - [i15]Daniele A. Di Pietro:
An arbitrary-order discrete rot-rot complex on polygonal meshes with application to a quad-rot problem. CoRR abs/2210.15581 (2022) - 2021
- [i14]Daniele Antonio Di Pietro, Jérôme Droniou:
An arbitrary-order discrete de Rham complex on polyhedral meshes: Exactness, Poincaré inequalities, and consistency. CoRR abs/2101.04940 (2021) - [i13]Daniele A. Di Pietro, Jérôme Droniou:
A DDR method for the Reissner-Mindlin plate bending problem on polygonal meshes. CoRR abs/2105.11773 (2021) - [i12]Daniel Castanon Quiroz, Daniele Antonio Di Pietro, André Harnist:
A Hybrid High-Order method for incompressible flows of non-Newtonian fluids with power-like convective behaviour. CoRR abs/2106.14950 (2021) - [i11]Daniele Antonio Di Pietro, Ilaria Fontana, Kyrylo Kazymyrenko:
A posteriori error estimates via equilibrated stress reconstructions for contact problems approximated by Nitsche's method. CoRR abs/2109.11944 (2021) - [i10]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 abs/2112.09750 (2021) - [i9]Daniele A. Di Pietro, Jérôme Droniou:
A fully discrete plates complex on polygonal meshes with application to the Kirchhoff-Love problem. CoRR abs/2112.14497 (2021) - 2020
- [i8]Michele Botti, Daniel Castanon Quiroz, Daniele A. Di Pietro, André Harnist:
A Hybrid High-Order method for creeping flows of non-Newtonian fluids. CoRR abs/2003.13467 (2020) - [i7]Daniele A. Di Pietro, Jérôme Droniou:
An arbitrary-order method for magnetostatics on polyhedral meshes based on a discrete de Rham sequence. CoRR abs/2005.06890 (2020) - [i6]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 abs/2007.03485 (2020) - [i5]Lorenzo Botti, Daniele Antonio Di Pietro:
p-Multilevel preconditioners for HHO discretizations of the Stokes equations with static condensation. CoRR abs/2009.13840 (2020) - [i4]Daniele Antonio Di Pietro, Jérôme Droniou, André Harnist:
Improved error estimates for Hybrid High-Order discretizations of Leray-Lions problems. CoRR abs/2012.05122 (2020) - 2019
- [i3]Michele Botti, Daniele A. Di Pietro, Pierre Sochala:
A high-order discretization of nonlinear poroelasticity. CoRR abs/1906.00757 (2019) - [i2]Daniele A. Di Pietro, Jérôme Droniou, Francesca Rapetti:
Fully discrete polynomial de Rham sequences of arbitrary degree on polygons and polyhedra. CoRR abs/1911.03616 (2019) - [i1]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 abs/1912.03665 (2019)
Coauthor Index
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