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An arbitrary-order method for magnetostatics on polyhedral meshes based on a discrete de Rham sequence

Daniele Antonio Di Pietro , Jérôme Droniou
Journal of Computational Physics, 2021, 429 (109991), ⟨10.1016/j.jcp.2020.109991⟩
Journal articles hal-02573274v2
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A nonconforming high-order method for the Biot problem on general meshes

Daniele Boffi , Michele Botti , Daniele Antonio Di Pietro
SIAM Journal on Scientific Computing, 2016, 38 (3), pp.A1508 - A1537. ⟨10.1137/15M1025505⟩
Journal articles hal-01162976v2
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On the flexibility of agglomeration based physical space discontinuous Galerkin discretizations

Francesco Bassi , Lorenzo Botti , Alessandro Colombo , Daniele Antonio Di Pietro , Pietro Tesini et al.
Journal of Computational Physics, 2011, 231 (1), pp.45-65. ⟨10.1016/j.jcp.2011.08.18⟩
Journal articles hal-00562219v2
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An h-multigrid method for Hybrid High-Order discretizations

Daniele Antonio Di Pietro , Frank Hülsemann , Pierre Matalon , Paul Mycek , Ulrich Rüde et al.
SIAM Journal on Scientific Computing, 2021, pp.S839-S861. ⟨10.1137/20M1342471⟩
Journal articles hal-02434411v3
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Arbitrary-order pressure-robust DDR and VEM methods for the Stokes problem on polyhedral meshes

Lourenço Beirão da Veiga , Franco Dassi , Daniele Antonio Di Pietro , Jérôme Droniou
Computer Methods in Applied Mechanics and Engineering, 2022, ⟨10.1016/j.cma.2022.115061⟩
Journal articles hal-03491878v1
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Algebraic multigrid preconditioner for statically condensed systems arising from lowest-order hybrid discretizations

Daniele Antonio Di Pietro , Frank Hülsemann , Pierre Matalon , Paul Mycek , Ulrich Rüde et al.
SIAM Journal on Scientific Computing, In press
Journal articles hal-03272468v2
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Analysis of a discontinuous Galerkin method for heterogeneous diffusion problems with low-regularity solutions

Daniele Antonio Di Pietro , Alexandre Ern
Numerical Methods for Partial Differential Equations, 2011, 17 p. ⟨10.1002/num.20675⟩
Journal articles hal-00514387v1
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Méthodes non conformes pour des équations aux dérivées partielles avec diffusion

Daniele Antonio Di Pietro
Mathématiques [math]. Université Paris-Est, 2010
Habilitation à diriger des recherches tel-00550230v1
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A DDR method for the Reissner-Mindlin plate bending problem on polygonal meshes

Daniele Antonio Di Pietro , Jérôme Droniou
2021
Preprints, Working Papers, ... hal-03234088v1
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A Hybrid High-Order method for multiple-network poroelasticity

Lorenzo Botti , Michele Botti , Daniele Antonio Di Pietro
Polyhedral methods in geosciences, 27, pp.227-258, 2021, SEMA SIMAI Springer Series, ⟨10.1007/978-3-030-69363-3_6⟩
Book sections hal-02461755v2
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An arbitrary-order discontinuous skeletal method for solving electrostatics on general polyhedral meshes

Daniele Antonio Di Pietro , Bernard A Kapidani , Ruben A Specogna , Francesco A Trevisan
IEEE Transactions on Magnetics, 2017, 53 (6), pp.1-4. ⟨10.1109/TMAG.2017.2666546⟩
Journal articles hal-01399505v1

Comparison of four analytical and numerical models for a microchannel heat sink

Gianpietro Elvio , Daniele Antonio Di Pietro , Marco Marengo
International Journal of Heat and Technology, 2003, 21 (2), pp.31-42
Journal articles hal-01820286v1

An artificial compressibility flux for the discontinuous Galerkin solution of the incompressible Navier–Stokes equations

Francesco Bassi , Andrea Crivellini , Daniele Antonio Di Pietro , Stefano Rebay
Journal of Computational Physics, 2006, 218 (2), pp.794 - 815. ⟨10.1016/j.jcp.2006.03.006⟩
Journal articles istex hal-01818209v1

Mathematical Aspects of Discontinuous Galerkin Methods

Daniele Antonio Di Pietro , Alexandre Ern
Springer-Verlag, 69, 2012, Mathématiques et Applications, 978-3-642-22979-4 (Softcover) 978-3-642-22980-0 (eBook). ⟨10.1007/978-3-642-22980-0⟩
Books hal-01820185v1
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A Hybrid High-Order method for Leray–Lions elliptic equations on general meshes

Daniele Antonio Di Pietro , Jérôme Droniou
Mathematics of Computation, 2016, 86 (307), pp.2159-2191. ⟨10.1090/mcom/3180⟩
Journal articles hal-01183484v3
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A locking-free discontinuous Galerkin method for linear elasticity in locally nearly incompressible heterogeneous media

Daniele Antonio Di Pietro , Serge Nicaise
Applied Numerical Mathematics, 2012, 63, pp.105-116. ⟨10.1016/j.apnum.2012.09.009⟩
Journal articles hal-00685020v1
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A high-order discretization of nonlinear poroelasticity

Michele Botti , Daniele Antonio Di Pietro , Pierre Sochala
2019
Preprints, Working Papers, ... hal-01785810v2
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A low-order nonconforming method for linear elasticity on general meshes

Michele Botti , Daniele Antonio Di Pietro , Alessandra Guglielmana
Computer Methods in Applied Mechanics and Engineering, 2019, 354, pp.96-118. ⟨10.1016/j.cma.2019.05.031⟩
Journal articles hal-02009407v2
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An a posteriori-based, fully adaptive algorithm with adaptive stopping criteria and mesh refinement for thermal multiphasecompositional flows in porous media

Daniele Antonio Di Pietro , Martin Vohralík , Soleiman Yousef
Computers & Mathematics with Applications, 2014, Volume 68 (Issue 12, Part B), pp.2331-2347. ⟨10.1016/j.camwa.2014.08.008⟩
Journal articles hal-00856437v3
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A Hybrid High-Order method for creeping flows of non-Newtonian fluids

Michele Botti , Daniel Castanon Quiroz , Daniele Antonio Di Pietro , André Harnist
ESAIM: Mathematical Modelling and Numerical Analysis, 2021, 55 (5), pp.2045-2073. ⟨10.1051/m2an/2021051⟩
Journal articles hal-02519233v2

Mass preserving finite element implementations of the level set method

Daniele Antonio Di Pietro , Stefania Lo Forte , Nicola Parolini
Applied Numerical Mathematics, 2006, 56 (9), pp.1179 - 1195. ⟨10.1016/j.apnum.2006.03.003⟩
Journal articles istex hal-01818211v1
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An a posteriori-driven adaptive mixed high-order method with application to electrostatics

Daniele Antonio Di Pietro , Ruben Specogna
Journal of Computational Physics, 2016, 326, pp.35-55. ⟨10.1016/j.jcp.2016.08.041⟩
Journal articles hal-01310313v2
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A hybrid high-order locking-free method for linear elasticity on general meshes

Daniele Antonio Di Pietro , Alexandre Ern
Computer Methods in Applied Mechanics and Engineering, 2015, 283, pp.1-21. ⟨10.1016/j.cma.2014.09.009⟩
Journal articles hal-00979435v2
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An arbitrary-order discrete rot-rot complex on polygonal meshes with application to a quad-rot problem

Daniele Antonio Di Pietro
2022
Preprints, Working Papers, ... hal-03830503v1
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An advection-robust Hybrid High-Order method for the Oseen problem

Joubine Aghili , Daniele Antonio Di Pietro
Journal of Scientific Computing, 2018, 77 (3), pp.1310-1338. ⟨10.1007/s10915-018-0681-2⟩
Journal articles hal-01658263v2
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A Hybrid High-Order method for the incompressible Navier–Stokes equations based on Temam's device

Lorenzo Botti , Daniele Antonio Di Pietro , Jérôme Droniou
Journal of Computational Physics, 2019, 376, pp.786-816. ⟨10.1016/j.jcp.2018.10.014⟩
Journal articles hal-01867134v1
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Assessment of Hybrid High-Order methods on curved meshes and comparison with discontinuous Galerkin methods

Lorenzo Botti , Daniele Antonio Di Pietro
Journal of Computational Physics, 2018, 370, pp.58-84. ⟨10.1016/j.jcp.2018.05.017⟩
Journal articles hal-01581883v1

Analysis of a discontinuous Galerkin approximation of the Stokes problem based on an artificial compressibility flux

Daniele Antonio Di Pietro
International Journal for Numerical Methods in Fluids, 2007, 55 (8), pp.793 - 813. ⟨10.1002/fld.1495⟩
Journal articles istex hal-01818207v1

Discontinuous Galerkin Methods for Anisotropic Semidefinite Diffusion with Advection

Daniele Antonio Di Pietro , Alexandre Ern , Jean-Luc Guermond
SIAM Journal on Numerical Analysis, 2008, 46 (2), pp.805 - 831. ⟨10.1137/060676106⟩
Journal articles hal-01818201v1
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A review of recent advances in discretization methods, a posteriori error analysis, and adaptive algorithms for numerical modeling in geosciences

Daniele Antonio Di Pietro , Martin Vohralík
Oil & Gas Science and Technology - Revue d'IFP Energies nouvelles, 2014, 69 (4), pp.701-730. ⟨10.2516/ogst/2013158⟩
Journal articles hal-00783068v1