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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⟩
Article dans une revue hal-02573274v2
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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, 397 (115061), ⟨10.1016/j.cma.2022.115061⟩
Article dans une revue hal-03491878v1
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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
Journal of Computational Physics, 2011, 231 (1), pp.45-65. ⟨10.1016/j.jcp.2011.08.18⟩
Article dans une revue hal-00562219v2
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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⟩
Article dans une revue hal-01162976v2
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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⟩
Article dans une revue hal-02434411v3
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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
SIAM Journal on Scientific Computing, 2023, 45 (3), ⟨10.1137/21M1429849⟩
Article dans une revue hal-03272468v2
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Adaptive regularization, linearization, and discretization and a posteriori error control for the two-phase Stefan problem

 Daniele Antonio Di Pietro , Martin Vohralík , Soleiman Yousef
Mathematics of Computation, 2015, 84 (291), pp.153--186. ⟨10.1090/S0025-5718-2014-02854-8⟩
Article dans une revue hal-00690862v4
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Numerical approximation of poroelasticity with random coefficients using Polynomial Chaos and Hybrid High-Order methods

 Daniele Antonio Di Pietro , Michele Botti , Daniele Di Pietro , Olivier Le Maitre , Pierre Sochala
Computer Methods in Applied Mechanics and Engineering, 2020, 361, pp.112736. ⟨10.1016/j.cma.2019.112736⟩
Article dans une revue hal-02081647v2
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p-Multilevel preconditioners for HHO discretizations of the Stokes equations with static condensation

 Lorenzo Botti , Daniele Antonio Di Pietro
Communications on Applied Mathematics and Computation, 2021, 4, pp.783-822. ⟨10.1007/s42967-021-00142-5⟩
Article dans une revue hal-02951823v1
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A Hybrid High-Order method for Darcy flows in fractured porous media

 Florent Chave , Daniele Antonio Di Pietro , Luca Formaggia
SIAM Journal on Scientific Computing, 2018, 40 (2), pp.A1063-A1094. ⟨10.1137/17M1119500⟩
Article dans une revue hal-01482925v2
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A Hybrid High-Order method for the Cahn-Hilliard problem in mixed form

 Florent Chave , Daniele Antonio Di Pietro , Fabien Marche , Franck Pigeonneau
SIAM Journal on Numerical Analysis, 2016, 54 (3), pp.1873-1898. ⟨10.1137/15M1041055⟩
Article dans une revue hal-01203733v2
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A discontinuous-skeletal method for advection-diffusion-reaction on general meshes

 Daniele Antonio Di Pietro , Jerome Droniou , Alexandre Ern
SIAM Journal on Numerical Analysis, 2015, 53 (5), pp.2135-2157. ⟨10.1137/140993971⟩
Article dans une revue hal-01079342v3
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An arbitrary-order discrete de Rham complex on polyhedral meshes. Part I: Exactness and Poincaré inequalities

 Daniele Antonio Di Pietro , Jérôme Droniou
2021
Pré-publication, Document de travail hal-03103526v1
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A Hybrid High-Order method for the incompressible Navier--Stokes problem robust for large irrotational body forces

 Daniel Castanon Quiroz , Daniele Antonio Di Pietro
Computers & Mathematics with Applications, 2020, 79 (9), pp.2655-2677. ⟨10.1016/j.camwa.2019.12.005⟩
Article dans une revue hal-02151236v1
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A pressure-correction scheme for convection-dominated incompressible flows with discontinuous velocity and continuous pressure

 Lorenzo Botti , Daniele Antonio Di Pietro
Journal of Computational Physics, 2010, 230 (3), pp.572-585. ⟨10.1016/j.jcp.2010.10.004⟩
Article dans une revue hal-00458293v2
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A Hybrid High-Order discretisation of the Brinkman problem robust in the Darcy and Stokes limits

 Lorenzo Botti , Daniele Antonio Di Pietro , Jerome Droniou
Computer Methods in Applied Mechanics and Engineering, 2018, 341 (1), pp.278-310. ⟨10.1016/j.cma.2018.07.004⟩
Article dans une revue hal-01746367v1
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A posteriori error estimates via equilibrated stress reconstructions for contact problems approximated by Nitsche's method

 Daniele Antonio Di Pietro , Ilaria Fontana , Kyrylo Kazymyrenko
Computers & Mathematics with Applications, 2022, 111, pp.61-80. ⟨10.1016/j.camwa.2022.02.008⟩
Article dans une revue hal-03354078v1
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Arbitrary-order mixed methods for heterogeneous anisotropic diffusion on general meshes

 Daniele Antonio Di Pietro , Alexandre Ern
IMA Journal of Numerical Analysis, 2017, 37 (1), pp.40-63. ⟨10.1093/imanum/drw003⟩
Article dans une revue hal-00918482v3

Benchmark session: The 2D Hybrid High-Order method

 Daniele Antonio Di Pietro , Stella Krell
Finite Volumes for Complex Applications VIII – Methods and Theoretical Aspects, Jun 2017, Lille, France. pp.91-106, ⟨10.1007/978-3-319-57397-7_7⟩
Communication dans un congrès hal-01818217v1
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Lowest order methods for diffusive problems on general meshes: A unified approach to definition and implementation

 Daniele Antonio Di Pietro , Jean-Marc Gratien
Finite Volumes for Complex Applications VI Problems & Perspectives, Springer, pp.803-819, 2011, ⟨10.1007/978-3-642-20671-9_84⟩
Chapitre d'ouvrage hal-00562500v1
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A posteriori error estimates, stopping criteria, and adaptivity for multiphase compositional Darcy flows in porous media

 Daniele Antonio Di Pietro , Eric Flauraud , Martin Vohralík , Soleiman Yousef
Journal of Computational Physics, 2014, 276, pp.163-187. ⟨10.1016/j.jcp.2014.06.061⟩
Article dans une revue hal-00839487v2

Basic concepts to design a DSL for Parallel Finite Volume Applications

 Daniele Antonio Di Pietro , Jean-Marc Gratien , Florian Haberlein , Anthony Michel , Christophe Prud'Homme
POOSC '09 - 8th workshop on Parallel/High-Performance Object-Oriented Scientific Computing, Jul 2009, Genova, Italy. pp.3:1-11, ⟨10.1145/1595655.1595658⟩
Communication dans un congrès hal-00390167v1
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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⟩
Article dans une revue hal-01867134v1
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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⟩
Article dans une revue hal-01310313v2
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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⟩
Article dans une revue hal-01658263v2
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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⟩
Article dans une revue hal-00856437v3
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A high-order discretization of nonlinear poroelasticity

 Michele Botti , Daniele Antonio Di Pietro , Pierre Sochala
Computational Methods in Applied Mathematics, 2020, 20 (2), pp.227-249. ⟨10.1515/cmam-2018-0142⟩
Article dans une revue 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⟩
Article dans une revue hal-02009407v2

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⟩
Article dans une revue istex hal-01818211v1
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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
Pré-publication, Document de travail hal-03830503v1
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