@Article{         Di-Pietro.Mendez.ea:25,
  title         = {A discrete {de Rham} discretization of interface diffusion
                  problems with application to the {Leaky Dielectric Model}},
  author        = {Di Pietro, D. A. and Mendez, S. and Spadotto, A. E.},
  year          = {2025},
  journal       = {J. Comput. Phys.},
  volume        = {530},
  pages         = {113920},
  doi           = {10.1016/j.jcp.2025.113920},
  hal           = {hal-04706374},
  eprint        = {2409.15042},
  archiveprefix = {arXiv},
  primaryclass  = {math.NA},
  keywords      = {prex2,nemesis}
}

@Misc{            Beirao-da-Veiga.Di-Pietro.ea:25,
  author        = {Beir\~{a}o da Veiga, L. and Di Pietro, D. A. and Droniou,
                  J. and Haile, K. B. and Radley, T. J.},
  title         = {A {Reynolds}-semi-robust method with hybrid velocity and
                  pressure for the unsteady incompressible {Navier--Stokes}
                  equations},
  month         = {2},
  year          = {2025},
  eprint        = {2502.15293},
  archiveprefix = {arXiv},
  primaryclass  = {math.NA},
  keywords      = {prex2,nemesis}
}

@Article{         Botti.Botti.ea:25,
  author        = {Botti, L. and Botti, M. and Di Pietro, D. A., and Massa,
                  F. C.},
  title         = {Stability, convergence, and pressure-robustness of
                  numerical schemes for incompressible flows with hybrid
                  velocity and pressure},
  year          = {2025},
  journal       = {Math. Comp.},
  note          = {Published online},
  doi           = {10.1090/mcom/4049},
  hal           = {hal-04552438},
  eprint        = {2404.12732},
  archiveprefix = {arXiv},
  primaryclass  = {math.NA},
  keywords      = {prex2,nemesis}
}

@Misc{            Di-Pietro.Droniou.ea:25,
  title         = {Uniform Poincar\'{e} inequalities for the discrete de Rham
                  complex of differential forms},
  author        = {Di Pietro, D. A. and Droniou, J. and Hanot, M.-L. and
                  Pitassi, S.},
  year          = {2025},
  month         = {1},
  hal           = {hal-04914811},
  eprint        = {2501.16116},
  archiveprefix = {arXiv},
  primaryclass  = {math.NA},
  keywords      = {prex2,nemesis,effect}
}

@Article{         Castanon-Quiroz.Di-Pietro:25,
  title         = {A {Reynolds}-semi-robust and pressure-robust {Hybrid
                  High-Order} method for the time dependent incompressible
                  {Navier--Stokes} equations},
  author        = {Casta\~{n}\'{o}n Quiroz, D. and Di Pietro, D. A.},
  journal       = {Comput. Meth. Appl. Mech. Engrg.},
  year          = {2025},
  volume        = {436},
  pages         = {117660},
  doi           = {10.1016/j.cma.2024.117660},
  hal           = {hal-04693813},
  eprint        = {2409.07037},
  archiveprefix = {arXiv},
  primaryclass  = {math.NA},
  keywords      = {prex2,nemesis}
}

@Article{         Bonaldi.Di-Pietro.ea:25,
  title         = {An exterior calculus framework for polytopal methods},
  author        = {Bonaldi, F. and Di Pietro, D. A. and Droniou, J. and Hu,
                  K.},
  journal       = {J. Eur. Math. Soc.},
  year          = {2025},
  doi           = {10.4171/JEMS/1602},
  hal           = {hal-04037653},
  eprint        = {2303.11093},
  archiveprefix = {arXiv},
  primaryclass  = {math.NA},
  note          = {Published online},
  keywords      = {prex2,nemesis}
}

@Article{         Di-Pietro.Hanot:24,
  title         = {Uniform Poincar\'{e} inequalities for the Discrete de Rham
                  complex on general domains},
  author        = {Di Pietro, D. A. and Hanot, M.-L.},
  year          = {2024},
  journal       = {Results Appl. Math.},
  volume        = {23},
  number        = {100496},
  doi           = {10.1016/j.rinam.2024.100496},
  url           = {https://authors.elsevier.com/sd/article/S2590-0374(24)00066-9},
  hal           = {hal-04220112},
  eprint        = {2309.15667},
  archiveprefix = {arXiv},
  primaryclass  = {math.NA},
  keywords      = {prex2,rhamnus,nemesis}
}

@InProceedings{   Cockburn.Di-Pietro.ea:24,
  title         = {Bridging the {Hybrid High-Order} and {Hybridizable
                  Discontinuous Galerkin} methods: {Summary}},
  author        = {Cockburn, B. and Di Pietro, D. A. and Ern, A.},
  booktitle     = {Frontiers of Science Awards for Math/TCIS/Phys},
  publisher     = {International Press},
  year          = {2024},
  hal           = {hal-04680610},
  keywords      = {prex2}
}

@Article{         Di-Pietro.Hanot:24*1,
  title         = {A discrete three-dimensional divdiv complex on polyhedral
                  meshes with application to a mixed formulation of the
                  biharmonic problem},
  author        = {Di Pietro, D. A. and Hanot, M.-L.},
  year          = {2024},
  journal       = {Math. Models Methods Appl. Sci.},
  volume        = {34},
  number        = {9},
  pages         = {1597--1648},
  doi           = {10.1142/S0218202524500313},
  hal           = {hal-04093192},
  eprint        = {2305.05729},
  archiveprefix = {arXiv},
  primaryclass  = {math.NA},
  keywords      = {prex2,anr-mrsei,rhamnus}
}

@Article{         Beirao-da-Veiga.Di-Pietro.ea:24,
  author        = {Beir\~{a}o da Veiga, L. and Di Pietro, D. A. and Haile, K.
                  B.},
  title         = {A {P\'{e}clet}-robust discontinuous {Galerkin} method for
                  nonlinear diffusion with advection},
  year          = {2024},
  journal       = {Math. Models Methods Appl. Sci.},
  volume        = {34},
  number        = {9},
  pages         = {1781--1807},
  doi           = {10.1142/S0218202524500350},
  hal           = {hal-04458310},
  eprint        = {2402.09814},
  archiveprefix = {arXiv},
  primaryclass  = {math.NA},
  keywords      = {prex2,nemesis}
}

@Misc{            Di-Pietro.Hanot.ea:24,
  author        = {Di Pietro, D. A. and Hanot, M.-L. and Salah, M.},
  title         = {Serendipity discrete complexes with enhanced regularity},
  year          = {2024},
  month         = {7},
  hal           = {hal-04651866},
  eprint        = {2407.12625},
  archiveprefix = {arXiv},
  primaryclass  = {math.NA},
  keywords      = {prex2,nemesis}
}

@Article{         Castanon-Quiroz.Di-Pietro:24,
  title         = {A pressure-robust {HHO} method for the solution of the
                  incompressible {Navier--Stokes} equations on general
                  meshes},
  author        = {Casta\~{n}\'{o}n Quiroz, D. and Di Pietro, D. A.},
  year          = {2024},
  journal       = {IMA J. Numer. Anal.},
  doi           = {10.1093/imanum/drad007},
  volume        = {44},
  number        = {1},
  pages         = {397--434},
  hal           = {hal-03608248},
  eprint        = {2203.07180},
  archiveprefix = {arXiv},
  primaryclass  = {math.NA},
  keywords      = {prex2,anr-mrsei,rhamnus}
}

@Misc{            Di-Pietro.Dong.ea:24,
  title         = {Homogeneous multigrid for hybrid discretizations:
                  application to {HHO} methods},
  author        = {Di Pietro, D. A. and Dong, Z. and Kanschat, G. and
                  Matalon, P. and Rupp, A.},
  year          = {2024},
  month         = {3},
  hal           = {hal-04518103},
  eprint        = {2403.15858},
  archiveprefix = {arXiv},
  primaryclass  = {math.NA},
  keywords      = {prex2,nemesis}
}

@Article{         Fontana.Di-Pietro:24,
  title         = {An a posteriori error analysis based on equilibrated
                  stresses for finite element approximations of frictional
                  contact},
  author        = {Fontana, I. and Di Pietro, D. A.},
  journal       = {Comput. Meth. Appl. Mech. Engrg.},
  year          = {2024},
  volume        = {425},
  number        = {116950},
  doi           = {10.1016/j.cma.2024.116950},
  hal           = {hal-04375623},
  eprint        = {2401.02944},
  archiveprefix = {arXiv},
  primaryclass  = {math.NA},
  keywords      = {prex2,nemesis}
}

@Article{         Di-Pietro.Droniou.ea:24,
  title         = {A pressure-robust {Discrete de Rham} scheme for the
                  {Navier--Stokes} equations},
  author        = {Di Pietro, D. A. and Droniou, J. and Qian, J. J.},
  journal       = {Comput. Meth. Appl. Mech. Engrg.},
  year          = {2024},
  volume        = {421},
  number        = {116765},
  doi           = {10.1016/j.cma.2024.116765},
  hal           = {hal-04375767},
  eprint        = {2401.04456},
  archiveprefix = {arXiv},
  primaryclass  = {math.NA},
  keywords      = {prex2,nemesis}
}

@Article{         Di-Pietro:24,
  title         = {An arbitrary-order discrete rot-rot complex on polygonal
                  meshes with application to a quad-rot problem},
  author        = {Di Pietro, D. A.},
  year          = {2024},
  journal       = {IMA J. Numer. Anal.},
  volume        = {44},
  number        = {3},
  pages         = {1699--1730},
  doi           = {10.1093/imanum/drad045},
  hal           = {hal-03830503},
  eprint        = {2210.15581},
  archiveprefix = {arXiv},
  primaryclass  = {math.NA},
  keywords      = {prex2}
}

@Article{         Di-Pietro.Droniou.ea:23,
  title         = {Cohomology of the discrete {de Rham} complex on domains of
                  general topology},
  author        = {Di Pietro, D. A. and Droniou, J. and Pitassi, S.},
  year          = {2023},
  journal       = {Calcolo},
  doi           = {10.1007/s10092-023-00523-7},
  volume        = {60},
  number        = {32},
  hal           = {hal-03767946},
  eprint        = {2209.00957},
  archiveprefix = {arXiv},
  primaryclass  = {math.NA},
  keywords      = {prex2}
}

@Article{         Di-Pietro.Droniou:23,
  title         = {A polytopal method for the {Brinkman} problem robust in
                  all regimes},
  author        = {Di Pietro, D. A. and Droniou, J.},
  journal       = {Comput. Meth. Appl. Mech. Engrg.},
  year          = {2023},
  volume        = {409},
  number        = {115981},
  doi           = {10.1016/j.cma.2023.115981},
  hal           = {hal-03930849},
  eprint        = {2301.03272},
  archiveprefix = {arXiv},
  primaryclass  = {math.NA},
  keywords      = {prex2,anr-mrsei}
}

@Article{         Di-Pietro.Droniou:23*1,
  author        = {Di Pietro, D. A. and Droniou, J.},
  title         = {An arbitrary-order discrete {de Rham} complex on
                  polyhedral meshes: Exactness, {Poincar\'e} inequalities,
                  and consistency},
  journal       = {Found. Comput. Math.},
  year          = {2023},
  volume        = {23},
  pages         = {85--164},
  doi           = {10.1007/s10208-021-09542-8},
  hal           = {hal-04536890},
  eprint        = {2101.04940},
  archiveprefix = {arXiv},
  primaryclass  = {math.NA},
  keywords      = {prex2}
}

@Article{         Di-Pietro.Droniou:23*2,
  title         = {Homological- and analytical-preserving serendipity
                  framework for polytopal complexes, with application to the
                  {DDR} method},
  author        = {Di Pietro, D. A. and Droniou, J.},
  journal       = {ESAIM: Math. Model Numer. Anal.},
  year          = {2023},
  doi           = {10.1051/m2an/2022067},
  volume        = {57},
  number        = {1},
  pages         = {191--225},
  hal           = {hal-03598859},
  eprint        = {2203.02939},
  archiveprefix = {arXiv},
  primaryclass  = {math.NA},
  keywords      = {prex2,anr-mrsei,rhamnus}
}

@Article{         Di-Pietro.Matalon.ea:23,
  title         = {High-order multigrid strategies for {HHO} discretizations
                  of elliptic equations},
  author        = {Di Pietro, D. A. and Matalon, P. and Mycek, P. and R\"ude,
                  U.},
  journal       = {Numer. Linear Algebra with Appl.},
  year          = {2023},
  volume        = {30},
  number        = {e2456},
  doi           = {10.1002/nla.2456},
  hal           = {hal-03531293},
  keywords      = {prex2,fast4hho}
}

@Article{         Botti.Di-Pietro.ea:23,
  title         = {A serendipity fully discrete div-div complex on polygonal
                  meshes},
  author        = {Botti, M. and Di Pietro, D. A. and Salah, M.},
  year          = {2023},
  journal       = {Comptes Rendus M\'{e}canique},
  volume        = {351},
  number        = {S1},
  doi           = {10.5802/crmeca.150},
  hal           = {hal-03723495},
  eprint        = {2207.07194},
  archiveprefix = {arXiv},
  primaryclass  = {math.NA},
  keywords      = {prex2}
}

@Article{         Di-Pietro.Droniou:23*3,
  title         = {A fully discrete plates complex on polygonal meshes with
                  application to the {Kirchhoff}--{Love} problem},
  author        = {Di Pietro, D. A. and Droniou, J.},
  journal       = {Math. Comp.},
  year          = {2023},
  doi           = {10.1090/mcom/3765},
  volume        = {92},
  number        = {339},
  pages         = {51--77},
  hal           = {hal-03504496},
  eprint        = {2112.14497},
  archiveprefix = {arXiv},
  primaryclass  = {math.NA},
  keywords      = {prex2,anr-mrsei,rhamnus}
}

@Article{         Castanon-Quiroz.Di-Pietro.ea:23,
  author        = {Casta\~{n}\'{o}n Quiroz, D. and Di Pietro, D. A. and
                  Harnist, A.},
  title         = {A {Hybrid High-Order} method for incompressible flows of
                  non-{Newtonian} fluids with power-like convective
                  behaviour},
  year          = {2023},
  journal       = {IMA J. Numer. Anal.},
  volume        = {43},
  number        = {1},
  pages         = {144--186},
  doi           = {10.1093/imanum/drab087},
  hal           = {hal-03273118},
  primaryclass  = {math.NA},
  keywords      = {prex}
}

@Article{         Di-Pietro.Hulsemann.ea:23,
  author        = {Di Pietro, D. A. and H\"ulsemann, F. and Matalon, P. and
                  Mycek, P. and R\"ude, U. and Ruiz, D.},
  title         = {Algebraic multigrid preconditioner for statically
                  condensed systems arising from lowest-order hybrid
                  discretizations},
  journal       = {SIAM J. Sci. Comput.},
  volume        = {45},
  number        = {3},
  doi           = {10.1137/21M1429849},
  year          = {2023},
  hal           = {hal-03272468},
  keywords      = {fast4hho,prex2}
}

@Article{         Di-Pietro.Droniou:22,
  author        = {Di Pietro, D. A. and Droniou, J.},
  title         = {A discrete {de Rham} method for the {Reissner--Mindlin}
                  plate bending problem on polygonal meshes},
  year          = {2022},
  journal       = {Comput. Math. Appl.},
  volume        = {125},
  pages         = {136--149},
  doi           = {10.1016/j.camwa.2022.08.041},
  hal           = {hal-03234088},
  eprint        = {2105.11773},
  archiveprefix = {arXiv},
  primaryclass  = {math.NA},
  keywords      = {prex2}
}

@Article{         Beirao-da-Veiga.Dassi.ea:22,
  title         = {Arbitrary-order pressure-robust {DDR} and {VEM} methods
                  for the {Stokes} problem on polyhedral meshes},
  author        = {Beir\~{a}o da Veiga, L. and Dassi, F. and Di Pietro, D. A.
                  and Droniou, J.},
  year          = {2022},
  journal       = {Comput. Meth. Appl. Mech. Engrg.},
  volume        = {397},
  number        = {115061},
  hal           = {hal-03491878},
  doi           = {10.1016/j.cma.2022.115061},
  url           = {https://authors.elsevier.com/a/1fChmAQEIzVqH},
  keywords      = {prex2,anr-mrsei,rhamnus}
}

@Article{         Di-Pietro.Fontana.ea:22,
  author        = {Di Pietro, D. A. and Fontana, I. and Kazymyrenko, K.},
  title         = {A posteriori error estimates via equilibrated stress
                  reconstructions for contact problems approximated by
                  {Nitsche}'s method},
  year          = {2022},
  journal       = {Comput. Math. Appl.},
  volume        = {111},
  pages         = {61--80},
  doi           = {10.1016/j.camwa.2022.02.008},
  hal           = {hal-03354078},
  primaryclass  = {math.NA},
  url           = {https://authors.elsevier.com/c/1egEh3CDPQ2-a5},
  keywords      = {prex2}
}

@Article{         Chave.Di-Pietro.ea:22,
  author        = {Chave, F. and Di Pietro, D. A. and Lemaire, S.},
  title         = {A discrete {Weber} inequality on three-dimensional hybrid
                  spaces with application to the {HHO} approximation of
                  magnetostatics},
  journal       = {Math. Models Methods Appl. Sci.},
  year          = {2022},
  volume        = {32},
  number        = {1},
  pages         = {175--207},
  hal           = {hal-02892526},
  doi           = {10.1142/S0218202522500051},
  primaryclass  = {math.NA},
  keywords      = {prex}
}

@Article{         Botti.Di-Pietro:22,
  author        = {Botti, L. and Di Pietro, D. A.},
  title         = {$p$-Multilevel preconditioners for HHO discretizations of
                  the {Stokes} equations with static condensation},
  year          = {2022},
  journal       = {Commun. Appl. Math. Comput.},
  volume        = {4},
  number        = {3},
  pages         = {783--822},
  doi           = {10.1007/s42967-021-00142-5},
  hal           = {hal-02951823},
  keywords      = {prex}
}

@Misc{            Fontana.Kazymyrenko.ea:21,
  title         = {Hyperelastic nature of the {Hoek}--{Brown} criterion},
  author        = {Fontana, I. and Kazymyrenko, K. and Di Pietro, D. A.},
  month         = {12},
  year          = {2021},
  howpublished  = {Submitted},
  hal           = {hal-03501788},
  keywords      = {prex2}
}

@Article{         Botti.Botti.ea:21,
  author        = {Botti, L. and Botti, M. and Di Pietro, D. A.},
  title         = {An abstract analysis framework for monolithic
                  discretisations of poroelasticity with application to
                  {Hybrid High-Order} methods},
  year          = {2021},
  journal       = {Comput. Math. Appl.},
  volume        = {91},
  number        = {1},
  pages         = {150--175},
  doi           = {10.1016/j.camwa.2020.06.004},
  hal           = {hal-02398946},
  primaryclass  = {math.NA},
  keywords      = {prex}
}

@InBook{          Botti.Botti.ea:21*1,
  author        = {Botti, L. and Botti, M. and Di Pietro, D. A.},
  title         = {Polyhedral Methods in Geosciences},
  chapter       = {A Hybrid High-Order method for multiple-network
                  poroelasticity},
  editor        = {D. A. Di Pietro, L. Formaggia, R. Masson},
  publisher     = {Springer},
  year          = {2021},
  number        = {27},
  series        = {SEMA-SIMAI},
  isbn          = {978-3-030-69362-6},
  pages         = {227--258},
  doi           = {10.1007/978-3-030-69363-3_6},
  hal           = {hal-02461755},
  keywords      = {prex}
}

@Article{         Botti.Castanon-Quiroz.ea:21,
  author        = {Botti, M. and Casta\~{n}\'{o}n Quiroz, D. and Di Pietro,
                  D. A. and Harnist, A.},
  title         = {A {Hybrid High-Order} method for creeping flows of
                  non-{Newtonian} fluids},
  journal       = {ESAIM: Math. Model Numer. Anal.},
  year          = {2021},
  volume        = {55},
  number        = {5},
  pages         = {2045--2073},
  doi           = {10.1051/m2an/2021051},
  hal           = {hal-02519233},
  primaryclass  = {math.NA},
  keywords      = {prex}
}

@Article{         Di-Pietro.Droniou.ea:21,
  author        = {Di Pietro, D. A. and Droniou, J. and Harnist, A.},
  title         = {Improved error estimates for {Hybrid High-Order}
                  discretizations of {Leray--Lions} problems},
  year          = {2021},
  journal       = {Calcolo},
  volume        = {58},
  number        = {19},
  doi           = {10.1007/s10092-021-00410-z},
  hal           = {hal-03049154},
  primaryclass  = {math.NA},
  keywords      = {prex}
}

@Article{         Di-Pietro.Droniou:21,
  author        = {Di Pietro, D. A. and Droniou, J.},
  title         = {An arbitrary-order method for magnetostatics on polyhedral
                  meshes based on a discrete {de Rham} sequence},
  year          = {2021},
  journal       = {J. Comput. Phys.},
  volume        = {429},
  number        = {109991},
  primaryclass  = {math.NA},
  doi           = {10.1016/j.jcp.2020.109991},
  hal           = {hal-02573274},
  keywords      = {prex}
}

@Book{            Di-Pietro.Formaggia.ea:21,
  editor        = {Di Pietro, D. A. and Formaggia, L. and Masson, R.},
  title         = {Polyhedral Methods in Geosciences},
  publisher     = {Springer International Publishing},
  series        = {SEMA-SIMAI},
  volume        = {27},
  isbn          = {978-3-030-69362-6},
  doi           = {10.1007/978-3-030-69363-3},
  year          = {2021},
  image         = {polyhedral-methods-geosciences.jpg},
  keywords      = {edited,HHOMM,prex}
}

@Article{         Di-Pietro.Hulsemann.ea:21,
  author        = {Di Pietro, D. A. and H\"ulsemann, F. and Matalon, P. and
                  Mycek, P. and R\"ude, U. and Ruiz, D.},
  title         = {Towards robust, fast solutions of elliptic equations on
                  complex domains through {HHO} discretizations and
                  non-nested multigrid methods},
  year          = {2021},
  journal       = {Internat. J. Numer. Methods Engrg.},
  volume        = {122},
  number        = {22},
  pages         = {6576--6595},
  hal           = {hal-03163476},
  doi           = {10.1002/nme.6803},
  keywords      = {prex}
}

@Article{         Di-Pietro.Hulsemann.ea:21*1,
  author        = {Di Pietro, D. A. and H\"ulsemann, F. and Matalon, P. and
                  Mycek, P. and R\"ude, U. and Ruiz, D.},
  title         = {An $h$-multigrid method for {Hybrid High-Order}
                  discretizations},
  journal       = {SIAM J. Sci. Comput.},
  doi           = {10.1137/20M1342471},
  volume        = {43},
  number        = {5},
  pages         = {S839--S861},
  year          = {2021},
  hal           = {hal-02434411},
  keywords      = {fast4hho,prex}
}

@Article{         Botti.Di-Pietro.ea:20,
  author        = {Botti, M. and Di Pietro, D. A. and Le Ma\^itre, O. and
                  Sochala, P.},
  title         = {Numerical approximation of poroelasticity with random
                  coefficients using {Polynomial Chaos} and {Hybrid
                  High-Order} methods},
  journal       = {Comput. Meth. Appl. Mech. Engrg.},
  year          = {2020},
  volume        = {361},
  number        = {112736},
  doi           = {10.1016/j.cma.2019.112736},
  hal           = {hal-02081647},
  primaryclass  = {math.NA},
  keywords      = {prex}
}

@Article{         Botti.Di-Pietro.ea:20*1,
  author        = {Botti, M. and Di Pietro, D. A. and Sochala, P.},
  title         = {A {Hybrid High-Order} discretisation method for nonlinear
                  poroelasticity},
  journal       = {Comput. Meth. Appl. Math.},
  hal           = {hal-01785810},
  year          = {2020},
  volume        = {20},
  number        = {2},
  pages         = {227--249},
  doi           = {10.1515/cmam-2018-0142},
  primaryclass  = {math.NA},
  keywords      = {prex,HHOMM}
}

@Article{         Castanon-Quiroz.Di-Pietro:20,
  author        = {Casta\~{n}\'{o}n Quiroz, D. and Di Pietro, D. A.},
  title         = {A {Hybrid High-Order} method for the incompressible
                  {Navier--Stokes} problem robust for large irrotational body
                  forces},
  year          = {2020},
  volume        = {79},
  number        = {8},
  pages         = {2655--2677},
  journal       = {Comput. Math. Appl.},
  doi           = {10.1016/j.camwa.2019.12.005},
  hal           = {hal-02151236},
  keywords      = {HHOMM,prex}
}

@InProceedings{   Chave.Di-Pietro.ea:20,
  author        = {Chave, F. and Di Pietro, D. A. and Lemaire, S.},
  title         = {A three-dimensional {Hybrid High-Order} method for
                  magnetostatics},
  booktitle     = {Finite Volumes for Complex Applications IX -- Methods,
                  Theoretical Aspects, Examples},
  editor        = {R. Kl\"{o}fkorn and E. Keilegavlen and F. A. Radu and J.
                  Fuhrmann},
  year          = {2020},
  pages         = {255--263},
  doi           = {10.1007/978-3-030-43651-3_22},
  hal           = {hal-02407175},
  keywords      = {prex}
}

@Article{         Di-Pietro.Droniou.ea:20,
  author        = {Di Pietro, D. A. and Droniou, J. and Rapetti, F.},
  title         = {Fully discrete polynomial {de Rham} sequences of arbitrary
                  degree on polygons and polyhedra},
  journal       = {Math. Models Methods Appl. Sci.},
  year          = {2020},
  volume        = {30},
  number        = {9},
  pages         = {1809-1855},
  doi           = {10.1142/S0218202520500372},
  hal           = {hal-02356810},
  primaryclass  = {math.NA},
  keywords      = {prex}
}

@Book{            Di-Pietro.Droniou:20,
  author        = {Di Pietro, D. A. and Droniou, J.},
  title         = {The {Hybrid High-Order} method for polytopal meshes},
  subtitle      = {Design, analysis, and applications},
  publisher     = {Springer International Publishing},
  year          = {2020},
  series        = {Modeling, Simulation and Application},
  volume        = {19},
  doi           = {10.1007/978-3-030-37203-3},
  isbn          = {978-3-030-37202-6},
  hal           = {hal-02151813},
  image         = {hho-book.jpg},
  keywords      = {research,prex}
}

@Article{         Botti.Di-Pietro.ea:19,
  author        = {Botti, M. and Di Pietro, D. A. and Guglielmana, A.},
  title         = {A low-order nonconforming method for linear elasticity on
                  general meshes},
  journal       = {Comput. Meth. Appl. Mech. Engrg.},
  year          = {2019},
  volume        = {354},
  pages         = {96--118},
  doi           = {10.1016/j.cma.2019.05.031},
  hal           = {hal-02009407},
  primaryclass  = {math.NA},
  keywords      = {HHOMM,fast4hho,prex}
}

@Article{         Botti.Di-Pietro.ea:19*1,
  author        = {Botti, L. and Di Pietro, D. A. and Droniou, J.},
  title         = {A {Hybrid High-Order} method for the incompressible
                  {Navier--Stokes} equations based on {Temam}'s device},
  year          = {2019},
  volume        = {376},
  pages         = {786--816},
  doi           = {10.1016/j.jcp.2018.10.014},
  primaryclass  = {math.NA},
  hal           = {hal-01867134},
  journal       = {J. Comput. Phys.},
  keywords      = {HHOMM,fast4hho,prex}
}

@Article{         Chave.Di-Pietro.ea:19,
  author        = {Chave, F. and Di Pietro, D. A. and Formaggia, L.},
  title         = {A {Hybrid High-Order} method for passive transport in
                  fractured porous media},
  hal           = {hal-01784181},
  year          = {2019},
  volume        = {10},
  number        = {12},
  journal       = {Int. J. Geomath.},
  doi           = {10.1007/s13137-019-0114-x},
  url           = {https://rdcu.be/bjHYw},
  keywords      = {HHOMM,prex}
}

@Article{         Lelievre.Perotto.ea:19,
  author        = {Leli\`{e}vre, T. and Perotto, S. and Rozza, G. and Di
                  Pietro, D. A. and Ern, A. and Formaggia, L.},
  title         = {Preface: {S}pecial {I}ssue on {M}odel {R}eduction},
  journal       = {J. Sci. Comput.},
  volume        = {81},
  issue         = {1},
  pages         = {1--2},
  doi           = {10.1007/s10915-019-01037-7},
  year          = {2019},
  note          = {[Editorial]},
  keywords      = {prex}
}

@Article{         Aghili.Di-Pietro:18,
  author        = {Aghili, J. and Di Pietro, D. A.},
  title         = {An advection-robust {Hybrid High-Order} method for the
                  {Oseen} problem},
  year          = {2018},
  journal       = {J. Sci. Comput.},
  hal           = {hal-01658263},
  primaryclass  = {math.NA},
  volume        = {77},
  number        = {3},
  pages         = {1310--1338},
  doi           = {10.1007/s10915-018-0681-2},
  keywords      = {HHOMM,prex}
}

@Article{         Boffi.Di-Pietro:18,
  author        = {Boffi, D. and Di Pietro, D. A.},
  title         = {Unified formulation and analysis of mixed and primal
                  discontinuous skeletal methods on polytopal meshes},
  journal       = {ESAIM: Math. Model Numer. Anal.},
  year          = {2018},
  volume        = {52},
  number        = {1},
  pages         = {1--28},
  hal           = {hal-01365938},
  primaryclass  = {math.NA},
  doi           = {10.1051/m2an/2017036},
  keywords      = {HHOMM,prex}
}

@Article{         Bonaldi.Di-Pietro.ea:18,
  author        = {Bonaldi, F. and Di Pietro, D. A. and Geymonat, G. and
                  Krasucki, F.},
  title         = {A {Hybrid High-Order} method for {Kirchhoff--Love} plate
                  bending problems},
  journal       = {ESAIM: Math. Model Numer. Anal.},
  volume        = {52},
  number        = {2},
  pages         = {393--421},
  year          = {2018},
  hal           = {hal-01541389},
  primaryclass  = {math.NA},
  doi           = {10.1051/m2an/2017065},
  keywords      = {HHOMM,prex}
}

@Article{         Botti.Di-Pietro.ea:18,
  author        = {Botti, L. and Di Pietro, D. A. and Droniou, J.},
  title         = {A {Hybrid High-Order} discretisation of the {Brinkman}
                  problem robust in the {Darcy} and {Stokes} limits},
  journal       = {Comput. Meth. Appl. Mech. Engrg.},
  hal           = {hal-01746367},
  year          = {2018},
  volume        = {341},
  pages         = {278--310},
  doi           = {10.1016/j.cma.2018.07.004},
  primaryclass  = {math.NA},
  keywords      = {HHOMM,prex}
}

@Article{         Botti.Di-Pietro:18,
  author        = {Botti, L. and Di Pietro, D. A.},
  title         = {Assessment of {Hybrid High-Order} methods on curved meshes
                  and comparison with discontinuous {Galerkin} methods},
  journal       = {J. Comput. Phys.},
  year          = {2018},
  hal           = {hal-01581883},
  volume        = {370},
  pages         = {58--84},
  doi           = {10.1016/j.jcp.2018.05.017},
  keywords      = {HHOMM,prex}
}

@Article{         Chave.Di-Pietro.ea:18,
  author        = {Chave, F. and Di Pietro, D. A. and Formaggia, L.},
  title         = {A {Hybrid High-Order} method for {Darcy} flows in
                  fractured porous media},
  year          = {2018},
  journal       = {SIAM J. Sci. Comput.},
  volume        = {40},
  number        = {2},
  pages         = {A1063--A1094},
  doi           = {10.1137/17M1119500},
  hal           = {hal-01482925},
  keywords      = {HHOMM,prex}
}

@Article{         Cicuttin.Di-Pietro.ea:18,
  author        = {Cicuttin, M. and Di Pietro, D. A. and Ern, A.},
  title         = {Implementation of {Discontinuous Skeletal} methods on
                  arbitrary-dimensional, polytopal meshes using generic
                  programming},
  journal       = {J. Comput. Appl. Math.},
  volume        = {344},
  pages         = {852--874},
  year          = {2018},
  hal           = {hal-01429292},
  keywords      = {HHOMM,prex},
  doi           = {10.1016/j.cam.2017.09.017}
}

@Article{         Di-Pietro.Droniou.ea:18,
  author        = {Di Pietro, D. A. and Droniou, J. and Manzini, G.},
  title         = {{Discontinuous Skeletal Gradient Discretisation} methods
                  on polytopal meshes},
  journal       = {J. Comput. Phys.},
  year          = {2018},
  volume        = {355},
  pages         = {397--425},
  hal           = {hal-01564598},
  primaryclass  = {math.NA},
  doi           = {10.1016/j.jcp.2017.11.018},
  keywords      = {HHOMM,prex}
}

@Article{         Di-Pietro.Droniou:18,
  author        = {Di Pietro, D. A. and Droniou, J.},
  title         = {A third {Strang} lemma and an {Aubin}--{Nitsche} trick for
                  schemes in fully discrete formulation},
  hal           = {hal-01778044},
  primaryclass  = {math.NA},
  year          = {2018},
  journal       = {Calcolo},
  volume        = {55},
  number        = {40},
  doi           = {10.1007/s10092-018-0282-3},
  url           = {https://rdcu.be/5L8F},
  keywords      = {HHOMM,prex}
}

@Book{            Di-Pietro.Ern.ea:18,
  editor        = {Di Pietro, D. A. and Ern, A. and Formaggia, L.},
  title         = {Numerical Methods for PDEs},
  subtitle      = {State of the Art Techniques},
  publisher     = {Springer International Publishing},
  series        = {SEMA-SIMAI},
  volume        = {15},
  doi           = {10.1007/978-3-319-94676-4},
  isbn          = {978-3-319-94675-7},
  year          = {2018},
  hal           = {hal-01818426},
  image         = {ihp-book.jpg},
  keywords      = {edited,HHOMM,prex}
}

@InBook{          Di-Pietro.Ern.ea:18*1,
  author        = {Di Pietro, D. A. and Ern, A. and Formaggia, L.},
  title         = {Numerical Methods for PDEs},
  subtitle      = {State of the Art Techniques},
  chapter       = {An introduction to recent developments in numerical
                  methods for partial differential equations},
  editor        = {D. A. Di Pietro, A. Ern, L. Formaggia},
  publisher     = {Springer},
  year          = {2018},
  number        = {15},
  series        = {SEMA-SIMAI},
  isbn          = {978-3-319-94675-7},
  hal           = {hal-01490524},
  primaryclass  = {math.NA},
  doi           = {10.1007/978-3-319-94676-4_1},
  pages         = {1--4},
  keywords      = {HHOMM,prex}
}

@Article{         Di-Pietro.Krell:18,
  author        = {Di Pietro, D. A. and Krell, S.},
  title         = {A {Hybrid High-Order} method for the steady incompressible
                  {Navier--Stokes} problem},
  journal       = {J. Sci. Comput.},
  year          = {2018},
  volume        = {74},
  number        = {3},
  pages         = {1677--1705},
  hal           = {hal-01349519},
  primaryclass  = {math.NA},
  doi           = {10.1007/s10915-017-0512-x},
  keywords      = {HHOMM,prex}
}

@Article{         Di-Pietro.Marche:18,
  author        = {Di Pietro, D. A. and Marche, F.},
  title         = {{Weighted Interior Penalty} discretization of fully
                  nonlinear and weakly dispersive free surface shallow water
                  flows},
  journal       = {J. Comput. Phys.},
  volume        = {355},
  pages         = {285--309},
  year          = {2018},
  hal           = {hal-01566446},
  keywords      = {HHOMM,prex},
  doi           = {10.1016/j.jcp.2017.11.009}
}

@InBook{          Di-Pietro.Tittarelli:18,
  author        = {Di Pietro, D. A. and Tittarelli, R.},
  title         = {Numerical Methods for PDEs},
  subtitle      = {State of the Art Techniques},
  chapter       = {An introduction to Hybrid High-Order methods},
  editor        = {D. A. Di Pietro, A. Ern, L. Formaggia},
  publisher     = {Springer},
  year          = {2018},
  pages         = {75--128},
  number        = {15},
  series        = {SEMA-SIMAI},
  isbn          = {978-3-319-94675-7},
  hal           = {hal-01490524},
  primaryclass  = {math.NA},
  doi           = {10.1007/978-3-319-94676-4_4},
  keywords      = {HHOMM,prex}
}

@Article{         Aghili.Di-Pietro.ea:17,
  author        = {Aghili, J. and Di Pietro, D. A. and Ruffini, B.},
  title         = {An $hp$-{Hybrid High-Order} method for variable diffusion
                  on general meshes},
  journal       = {Comput. Meth. Appl. Math.},
  year          = {2017},
  volume        = {17},
  number        = {3},
  pages         = {359--376},
  doi           = {10.1515/cmam-2017-0009},
  hal           = {hal-01290251},
  keywords      = {HHOMM,prex}
}

@Article{         Botti.Di-Pietro.ea:17,
  author        = {Botti, M. and Di Pietro, D. A. and Sochala, P.},
  title         = {A {Hybrid High-Order} method for nonlinear elasticity},
  year          = {2017},
  journal       = {SIAM J. Numer. Anal.},
  volume        = {55},
  number        = {6},
  pages         = {2687--2717},
  doi           = {10.1137/16M1105943},
  hal           = {hal-01539510},
  primaryclass  = {math.NA},
  keywords      = {HHOMM,prex}
}

@InProceedings{   Botti.Di-Pietro.ea:17*1,
  author        = {Botti, M. and Di Pietro, D. A. and Sochala, P.},
  title         = {A nonconforming high-order method for nonlinear
                  poroelasticity},
  booktitle     = {Finite Volumes for Complex Applications VIII --
                  Hyperbolic, Elliptic and Parabolic Problems},
  editor        = {C. Canc\`{e}s and P. Omnes},
  year          = {2017},
  pages         = {537--546},
  doi           = {10.1007/978-3-319-57397-7},
  hal           = {hal-01439165},
  keywords      = {HHOMM,prex}
}

@InProceedings{   Chave.Di-Pietro.ea:17,
  author        = {Chave, F. and Di Pietro, D. A. and Marche, F.},
  title         = {A {Hybrid High-Order} method for the convective
                  {Cahn--Hilliard} problem in mixed form},
  booktitle     = {Finite Volumes for Complex Applications VIII --
                  Hyperbolic, Elliptic and Parabolic Problems},
  editor        = {C. Canc\`{e}s and P. Omnes},
  year          = {2017},
  pages         = {517--526},
  doi           = {10.1007/978-3-319-57397-7},
  keywords      = {HHOMM,prex},
  hal           = {hal-01477247},
  primaryclass  = {math.NA}
}

@Article{         Di-Pietro.Droniou:17,
  author        = {Di Pietro, D. A. and Droniou, J.},
  title         = {{$W^{s,p}$}-approximation properties of elliptic
                  projectors on polynomial spaces, with application to the
                  error analysis of a {Hybrid High-Order} discretisation of
                  {Leray--Lions} problems},
  journal       = {Math. Models Methods Appl. Sci.},
  year          = {2017},
  volume        = {27},
  number        = {5},
  pages         = {879--908},
  doi           = {10.1142/S0218202517500191},
  hal           = {hal-01326818},
  primaryclass  = {math.NA},
  keywords      = {HHOMM,prex}
}

@Article{         Di-Pietro.Droniou:17*1,
  author        = {Di Pietro, D. A. and Droniou, J.},
  title         = {A {Hybrid High-Order} method for {Leray--Lions} elliptic
                  equations on general meshes},
  journal       = {Math. Comp.},
  year          = {2017},
  volume        = {86},
  number        = {307},
  pages         = {2159--2191},
  doi           = {10.1090/mcom/3180},
  hal           = {hal-01183484},
  primaryclass  = {math.NA},
  keywords      = {HHOMM,prex}
}

@Article{         Di-Pietro.Ern:17,
  author        = {Di Pietro, D. A. and Ern, A.},
  title         = {Arbitrary-order mixed methods for heterogeneous
                  anisotropic diffusion on general meshes},
  journal       = {IMA J. Numer. Anal.},
  year          = {2017},
  volume        = {37},
  number        = {1},
  pages         = {40--63},
  doi           = {10.1093/imanum/drw003},
  hal           = {hal-00918482},
  keywords      = {HHOMM,prex}
}

@Article{         Di-Pietro.Kapidani.ea:17,
  author        = {Di Pietro, D. A. and Kapidani, B. and Specogna, R. and
                  Trevisan, F.},
  title         = {An arbitrary-order discontinuous skeletal method for
                  solving electrostatics on general polyhedral meshes},
  journal       = {IEEE Transactions on Magnetics},
  year          = {2017},
  volume        = {53},
  number        = {6},
  pages         = {1--4},
  doi           = {10.1109/TMAG.2017.2666546},
  hal           = {hal-01399505},
  keywords      = {HHOMM,prex}
}

@InProceedings{   Di-Pietro.Krell:17,
  author        = {Di Pietro, D. A. and Krell, S.},
  title         = {Benchmark session: {T}he {2D} {Hybrid High-Order} method},
  booktitle     = {Finite Volumes for Complex Applications VIII -- Methods
                  and Theoretical Aspects},
  editor        = {C. Canc\`{e}s and P. Omnes},
  year          = {2017},
  pages         = {91--106},
  doi           = {10.1007/978-3-319-57397-7},
  keywords      = {HHOMM,prex},
  hal           = {hal-01818217}
}

@Article{         Riedlbeck.Di-Pietro.ea:17,
  author        = {Riedlbeck, R. and Di Pietro, D. A. and Ern, A. and Granet,
                  S. and Kazymyrenko, K.},
  title         = {Stress and flux reconstruction in Biot's poro-elasticity
                  problem with application to a posteriori error analysis},
  year          = {2017},
  journal       = {Comput. Math. Appl.},
  volume        = {73},
  number        = {7},
  pages         = {1593--1610},
  doi           = {10.1016/j.camwa.2017.02.005},
  hal           = {hal-01366646},
  keywords      = {HHOMM,prex}
}

@InProceedings{   Riedlbeck.Di-Pietro.ea:17*1,
  author        = {Riedlbeck, R. and Di Pietro, D. A. and Ern, A.},
  title         = {Equilibrated stress reconstruction for linear elasticity
                  problems with application to a posteriori error analysis},
  booktitle     = {Finite Volumes for Complex Applications VIII -- Methods
                  and Theoretical Aspects},
  editor        = {C. Canc\`{e}s and P. Omnes},
  year          = {2017},
  pages         = {293--302},
  hal           = {hal-01433841},
  keywords      = {HHOMM,prex}
}

@Article{         Boffi.Botti.ea:16,
  author        = {Boffi, D. and Botti, M. and Di Pietro, D. A.},
  title         = {A nonconforming high-order method for the {Biot} problem
                  on general meshes},
  journal       = {SIAM J. Sci. Comput.},
  year          = {2016},
  volume        = {38},
  number        = {3},
  pages         = {A1508--A1537},
  doi           = {10.1137/15M1025505},
  hal           = {hal-01162976},
  primaryclass  = {math.NA},
  keywords      = {HHOMM}
}

@Article{         Chave.Di-Pietro.ea:16,
  author        = {Chave, F. and Di Pietro, D. A. and Marche, F. and
                  Pigeonneau, F.},
  title         = {A Hybrid High-Order method for the {Cahn--Hilliard}
                  problem in mixed form},
  journal       = {SIAM J. Numer. Anal.},
  year          = {2016},
  volume        = {54},
  number        = {3},
  pages         = {1873--1898},
  hal           = {hal-01203733},
  primaryclass  = {math.NA},
  doi           = {10.1137/15M1041055},
  keywords      = {HHOMM}
}

@Article{         Cockburn.Di-Pietro.ea:16,
  title         = {Bridging the {Hybrid High-Order} and {Hybridizable
                  Discontinuous Galerkin} methods},
  author        = {Cockburn, B. and Di Pietro, D. A. and Ern, A.},
  journal       = {ESAIM: Math. Model Numer. Anal.},
  year          = {2016},
  volume        = {50},
  number        = {3},
  pages         = {635--650},
  hal           = {hal-01115318},
  doi           = {10.1051/m2an/2015051}
}

@Article{         Di-Pietro.Ern.ea:16,
  author        = {Di Pietro, D. A. and Ern, A. and Linke, A. and Schieweck,
                  F.},
  title         = {A discontinuous skeletal method for the
                  viscosity-dependent {Stokes} problem},
  journal       = {Comput. Meth. Appl. Mech. Engrg.},
  year          = {2016},
  volume        = {306},
  pages         = {175--195},
  hal           = {hal-01244387},
  keywords      = {HHOMM},
  doi           = {10.1016/j.cma.2016.03.033}
}

@InBook{          Di-Pietro.Ern.ea:16*1,
  author        = {Di Pietro, D. A. and Ern, A. and Lemaire, S.},
  title         = {Building bridges: Connections and challenges in modern
                  approaches to numerical partial differential equations},
  chapter       = {A review of Hybrid High-Order methods: formulations,
                  computational aspects, comparison with other methods},
  editor        = {Barrenechea, G. and Brezzi, F. and Cangiani, A. and
                  Georgoulis, M.},
  publisher     = {Springer},
  year          = {2016},
  pages         = {205--236},
  hal           = {hal-01163569},
  isbn          = {978-3-319-41638-0},
  doi           = {10.1007/978-3-319-41640-3},
  keywords      = {HHOMM}
}

@Article{         Di-Pietro.Specogna:16,
  author        = {Di Pietro, D. A. and Specogna, R.},
  title         = {An a posteriori-driven adaptive {Mixed High-Order} method
                  with application to electrostatics},
  journal       = {J. Comput. Phys.},
  year          = {2016},
  volume        = {326},
  number        = {1},
  pages         = {35--55},
  doi           = {10.1016/j.jcp.2016.08.041},
  hal           = {hal-01310313},
  keywords      = {HHOMM}
}

@Article{         Aghili.Boyaval.ea:15,
  author        = {Aghili, J. and Boyaval, S. and Di Pietro, D. A.},
  title         = {Hybridization of mixed high-order methods on general
                  meshes and application to the {Stokes} equations},
  journal       = {Comput. Meth. Appl. Math.},
  year          = {2015},
  volume        = {15},
  number        = {2},
  pages         = {111--134},
  hal           = {hal-01009723},
  doi           = {10.1515/cmam-2015-0004}
}

@Article{         Bonelle.Di-Pietro.ea:15,
  author        = {Bonelle, J. and Di Pietro, D. A. and Ern, A.},
  title         = {Low-order reconstruction operators on polyhedral meshes:
                  Application to {Compatible Discrete Operator} schemes},
  journal       = {Computer Aided Geometric Design},
  year          = {2015},
  volume        = {35--36},
  pages         = {27--41},
  hal           = {hal-01097311},
  doi           = {10.1016/j.cagd.2015.03.015}
}

@Article{         Di-Pietro.Droniou.ea:15,
  author        = {Di Pietro, D. A. and J. Droniou and Ern, A.},
  title         = {A discontinuous-skeletal method for
                  advection-diffusion-reaction on general meshes},
  year          = {2015},
  journal       = {SIAM J. Numer. Anal.},
  volume        = {53},
  number        = {5},
  pages         = {2135--2157},
  hal           = {hal-01079342},
  primaryclass  = {math.NA},
  doi           = {10.1137/140993971}
}

@Article{         Di-Pietro.Ern:15,
  author        = {Di Pietro, D. A. and Ern, A.},
  title         = {Equilibrated tractions for the {Hybrid High-Order}
                  method},
  year          = {2015},
  journal       = {C. R. Acad. Sci. Paris, Ser. I},
  volume        = {353},
  pages         = {279--282},
  hal           = {hal-01079026},
  primaryclass  = {math.NA},
  doi           = {10.1016/j.crma.2014.12.009}
}

@Article{         Di-Pietro.Ern:15*1,
  author        = {Di Pietro, D. A. and Ern, A.},
  title         = {Hybrid high-order methods for variable-diffusion problems
                  on general meshes},
  journal       = {C. R. Acad. Sci. Paris, Ser. I},
  year          = {2015},
  volume        = {353},
  pages         = {31--34},
  doi           = {10.1016/j.crma.2014.10.013},
  hal           = {hal-01023302}
}

@Article{         Di-Pietro.Ern:15*2,
  author        = {Di Pietro, D. A. and Ern, A.},
  title         = {A hybrid high-order locking-free method for linear
                  elasticity on general meshes},
  journal       = {Comput. Meth. Appl. Mech. Engrg.},
  year          = {2015},
  volume        = {283},
  pages         = {1--21},
  doi           = {10.1016/j.cma.2014.09.009},
  hal           = {hal-00979435}
}

@Article{         Di-Pietro.Lemaire:15,
  title         = {An extension of the {Crouzeix--Raviart} space to general
                  meshes with application to quasi-incompressible linear
                  elasticity and {Stokes} flow},
  author        = {Di Pietro, D. A. and Lemaire, S.},
  journal       = {Math. Comp.},
  year          = {2015},
  volume        = {84},
  number        = {291},
  pages         = {1--31},
  doi           = {10.1090/S0025-5718-2014-02861-5},
  hal           = {hal-00753660}
}

@Article{         Di-Pietro.Vohralik.ea:15,
  title         = {Adaptive regularization, linearization, discretization,
                  and a posteriori error control for the two-phase Stefan
                  problem},
  author        = {Di Pietro, D. A. and Vohral\'{i}k, M. and Yousef, S.},
  journal       = {Math. Comp.},
  year          = {2015},
  volume        = {84},
  number        = {291},
  pages         = {153--186},
  doi           = {10.1090/S0025-5718-2014-02854-8},
  hal           = {hal-00690862}
}

@Article{         Di-Pietro.Ern.ea:14,
  author        = {Di Pietro, D. A. and Ern, A. and Lemaire, S.},
  title         = {An arbitrary-order and compact-stencil discretization of
                  diffusion on general meshes based on local reconstruction
                  operators},
  journal       = {Comput. Meth. Appl. Math.},
  year          = {2014},
  volume        = {14},
  number        = {4},
  pages         = {461--472},
  doi           = {10.1515/cmam-2014-0018},
  note          = {Open access (editor's choice)},
  hal           = {hal-00978198}
}

@Article{         Di-Pietro.Flauraud.ea:14,
  author        = {Di Pietro, D. A. and Flauraud, E. and Vohral\'{i}k, M. and
                  Yousef, S.},
  title         = {A posteriori error estimates, stopping criteria, and
                  adaptivity for multiphase compositional Darcy flows in
                  porous media},
  journal       = {J. Comput. Phys.},
  year          = {2014},
  volume        = {274},
  pages         = {163--187},
  doi           = {10.1016/j.jcp.2014.06.061},
  hal           = {hal-00839487}
}

@Article{         Di-Pietro.Vohralik.ea:14,
  author        = {Di Pietro, D. A. and Vohral\'{i}k, M. and Yousef, S.},
  title         = {An a posteriori-based, fully adaptive algorithm for
                  thermal multiphase compositional flows in porous media with
                  adaptive mesh refinement},
  journal       = {Comput. Math. Appl.},
  year          = {2014},
  doi           = {10.1016/j.camwa.2014.08.008},
  volume        = {68},
  number        = {12},
  pages         = {2331--2347},
  hal           = {hal-00856437}
}

@Article{         Di-Pietro.Vohralik:14,
  title         = {A review of recent advances in discretization methods, a
                  posteriori error analysis, and adaptive algorithms for
                  numerical modeling in geosciences},
  author        = {Di Pietro, D. A. and Vohral\'{i}k, M.},
  journal       = {Oil \& Gas Science and Technology},
  volume        = {69},
  number        = {4},
  pages         = {701--730},
  year          = {2014},
  doi           = {10.2516/ogst/2013158},
  hal           = {hal-00783068}
}

@Article{         Di-Pietro.Gratien.ea:13,
  author        = {Di Pietro, D. A. and Gratien, J.-M. and Prud'homme, C.},
  title         = {A domain-specific embedded language in {C++} for
                  lowest-order discretizations of diffusive problems on
                  general meshes},
  journal       = {BIT Numerical Mathematics},
  volume        = {53},
  number        = {1},
  year          = {2013},
  pages         = {111--152},
  doi           = {10.1007/s10543-012-0403-3},
  hal           = {hal-00654406}
}

@Article{         Di-Pietro.Nicaise:13,
  author        = {Di Pietro, D. A. and Nicaise, S.},
  title         = {A locking-free discontinuous {G}alerkin method for linear
                  elasticity in locally nearly incompressible heterogeneous
                  media},
  journal       = {App. Num. Math.},
  volume        = {63},
  year          = {2013},
  pages         = {105--116},
  doi           = {10.1016/j.apnum.2012.09.009},
  hal           = {hal-00685020}
}

@Article{         Di-Pietro:13,
  author        = {Di Pietro, D. A.},
  title         = {On the conservativity of cell centered {Galerkin}
                  methods},
  journal       = {C. R. Acad. Sci. Paris, Ser. I},
  volume        = {351},
  number        = {3--4},
  pages         = {155--159},
  year          = {2013},
  doi           = {10.1016/j.crma.2013.03.001},
  hal           = {hal-00781510}
}

@Article{         Bassi.Botti.ea:12,
  author        = {Bassi, F. and Botti, L. and Colombo, A. and Di Pietro, D.
                  A. and Tesini, P.},
  title         = {On the flexibility of agglomeration based physical space
                  discontinuous {Galerkin} discretizations},
  journal       = {J. Comput. Phys.},
  volume        = {231},
  number        = {1},
  pages         = {45--65},
  year          = {2012},
  doi           = {10.1016/j.jcp.2011.08.018},
  hal           = {hal-00562219}
}

@Book{            Di-Pietro.Ern:12,
  author        = {Di Pietro, D. A. and Ern, A.},
  title         = {Mathematical aspects of discontinuous {G}alerkin methods},
  series        = {Math\'ematiques \& Applications (Berlin) [Mathematics \&
                  Applications]},
  volume        = {69},
  publisher     = {Springer, Heidelberg},
  isbn          = {978-3-642-22979-4},
  year          = {2012},
  keywords      = {research},
  doi           = {10.1007/978-3-642-22980-0},
  image         = {dg-book.jpg},
  hal           = {hal-01820185}
}

@Article{         Di-Pietro.Ern:12*1,
  author        = {Di Pietro, D. A. and Ern, A.},
  title         = {Analysis of a discontinuous {Galerkin} method for
                  heterogeneous diffusion problems with low-regularity
                  solutions},
  journal       = {Numer. Meth. for PDEs},
  year          = {2012},
  volume        = {28},
  number        = {4},
  pages         = {1161--1177},
  doi           = {10.1002/num.20675},
  hal           = {hal-00514387}
}

@Article{         Di-Pietro:12,
  author        = {Di Pietro, D. A.},
  title         = {Cell centered {Galerkin} methods for diffusive problems},
  journal       = {ESAIM: Math. Model Numer. Anal.},
  volume        = {46},
  number        = {1},
  year          = {2012},
  pages         = {111--144},
  doi           = {10.1051/m2an/2011016},
  hal           = {hal-00511125}
}

@Article{         Botti.Di-Pietro:11,
  author        = {Botti, L. and Di Pietro, D. A.},
  title         = {A pressure-correction scheme for convection-dominated
                  incompressible flows with discontinuous velocity and
                  continuous pressure},
  journal       = {J. Comput. Phys.},
  volume        = {230},
  number        = {3},
  pages         = {572--585},
  doi           = {10.1016/j.jcp.2010.10.004},
  hal           = {hal-00458293},
  year          = {2011}
}

@InProceedings{   Di-Pietro.Eymard.ea:11,
  author        = {Di Pietro, D. A. and Eymard, R. and Lemaire, S. and
                  Masson, R.},
  title         = {Hybrid finite volume discretization of linear elasticity
                  models on general meshes},
  booktitle     = {Finite Volumes for Complex Applications VI},
  publisher     = {Springer--Verlag},
  editor        = {Fo\v{r}t, J. and F\"{u}rst, J. and Halama, J. and Herbin,
                  R. and Hubert, F.},
  pages         = {331--339},
  year          = {2011},
  doi           = {10.1007/978-3-642-20671-9_35},
  hal           = {hal-00795201}
}

@InProceedings{   Di-Pietro.Gratien:11,
  author        = {Di Pietro, D. A. and Gratien, J.-M.},
  title         = {Lowest order methods for diffusive problems on general
                  meshes: {A} unified approach to definition and
                  implementation},
  booktitle     = {Finite Volumes for Complex Applications VI},
  publisher     = {Springer--Verlag},
  editor        = {Fo\v{r}t, J. and F\"{u}rst, J. and Halama, J. and Herbin,
                  R. and Hubert, F.},
  year          = {2011},
  pages         = {3--19},
  note          = {Invited paper},
  doi           = {10.1007/978-3-642-20671-9_84},
  hal           = {hal-00562500}
}

@InProceedings{   Di-Pietro.Vohralik.ea:11,
  author        = {Di Pietro, D. A. and Vohral\'{i}k, M. and Widmer, C.},
  title         = {An a posteriori error estimator for a finite volume
                  discretization of two-phase flow},
  booktitle     = {Finite Volumes for Complex Applications VI},
  publisher     = {Springer--Verlag},
  editor        = {Fo\v{r}t, J. and F\"{u}rst, J. and Halama, J. and Herbin,
                  R. and Hubert, F.},
  pages         = {341--349},
  year          = {2011},
  doi           = {10.1007/978-3-642-20671-9_36}
}

@Article{         Di-Pietro:11,
  author        = {Di Pietro, D. A.},
  title         = {A compact cell-centered {Galerkin} method with subgrid
                  stabilization},
  journal       = {C. R. Acad. Sci. Paris, Ser. I},
  volume        = {349},
  number        = {1--2},
  year          = {2011},
  pages         = {93--98},
  doi           = {10.1016/j.crma.2010.11.017},
  hal           = {hal-00476222}
}

@Article{         Agelas.Di-Pietro.ea:10,
  author        = {Ag\'{e}las, L. and Di Pietro, D. A. and Droniou, J.},
  title         = {The {G} method for heterogeneous anisotropic diffusion on
                  general meshes},
  journal       = {ESAIM: Math. Model Numer. Anal.},
  volume        = {44},
  number        = {4},
  pages         = {597--625},
  year          = {2010},
  doi           = {10.1051/m2an/2010021},
  hal           = {hal-00342739}
}

@Article{         Agelas.Di-Pietro.ea:10*1,
  author        = {Ag\'{e}las, L. and Di Pietro, D. A. and Eymard, R. and
                  Masson, R.},
  title         = {An abstract analysis framework for nonconforming
                  approximations of diffusion problems on general meshes},
  journal       = {IJFV International Journal on Finite Volumes},
  volume        = {7},
  number        = {1},
  pages         = {1--29},
  year          = {2010},
  hal           = {hal-00318390}
}

@Article{         Di-Pietro.Ern:10,
  author        = {Di Pietro, D. A. and Ern, A.},
  title         = {Discrete functional analysis tools for discontinuous
                  {G}alerkin methods with application to the incompressible
                  {N}avier--{S}tokes equations},
  journal       = {Math. Comp.},
  volume        = {79},
  year          = {2010},
  pages         = {1303--1330},
  doi           = {10.1090/S0025-5718-10-02333-1},
  hal           = {hal-00278925}
}

@Article{         Di-Pietro:10,
  author        = {Di Pietro, D. A.},
  title         = {Cell centered {Galerkin} methods},
  journal       = {C. R. Acad. Sci. Paris, Ser. I},
  year          = {2010},
  volume        = {348},
  number        = {1--2},
  pages         = {31--34},
  doi           = {10.1016/j.crma.2009.11.012},
  hal           = {hal-00398782}
}

@Thesis{          Di-Pietro:10*1,
  author        = {Di Pietro, D. A.},
  title         = {M\'{e}thodes non conformes pour des \'{e}quations aux
                  d\'{e}riv\'{e}es partielles avec diffusion},
  note          = {Habilitation thesis},
  school        = {Universit\'{e} de Paris-Est},
  year          = {2010},
  url           = {http://tel.archives-ouvertes.fr/tel-00550230}
}

@InProceedings{   Agelas.Di-Pietro.ea:09,
  author        = {Ag\'{e}las, L. and Di Pietro, D. A. and Kapyrin, I.},
  title         = {A comparison of last generation cell centered finite
                  volume methods on challenging three dimensional problems},
  booktitle     = {Proceedings of the 3rd International Conference on
                  Approximation Methods and numerical Modeling in Environment
                  and Natural Resources},
  address       = {Pau, France},
  month         = {6},
  year          = {2009}
}

@Article{         Di-Pietro.Veneziani:09,
  author        = {Di Pietro, D. A. and Veneziani, A.},
  title         = {Expression template implementation of continuous and
                  discontinuous {G}alerkin methods},
  journal       = {Comp. Vis. in Sci.},
  volume        = {12},
  year          = {2009},
  pages         = {421--436},
  doi           = {10.1007/s00791-008-0117-x},
  hal           = {hal-01818198}
}

@InProceedings{   Agelas.Di-Pietro.ea:08,
  author        = {Ag\'{e}las, L. and Di Pietro, D. A. and Kapyrin, I. and
                  Masson, R.},
  title         = {Generalized {L-scheme} for the discretization of diffusion
                  fluxes on general meshes},
  booktitle     = {Proceedings of the 11th European Conference on the
                  Mathematics of Oil Recovery},
  address       = {Bergen, Norway},
  month         = {9},
  year          = {2008}
}

@InProceedings{   Agelas.Di-Pietro.ea:08*1,
  author        = {Ag\'{e}las, L. and Di Pietro, D. A. and Eymard, R. and
                  Masson, R.},
  title         = {A general framework for non-conforming approximations of
                  the single phase {D}arcy equation},
  booktitle     = {Proceedings of the 11th European Conference on the
                  Mathematics of Oil Recovery},
  address       = {Bergen, Norway},
  month         = {9},
  year          = {2008}
}

@InProceedings{   Agelas.Di-Pietro.ea:08*2,
  author        = {Ag\'{e}las, L. and Di Pietro, D. A. and Kapyrin, I. and
                  Masson, R.},
  title         = {The {MPFA G} scheme for heterogeneous anisotropic
                  diffusion problems on general meshes},
  booktitle     = {Proceedings of the 11th European Conference on the
                  Mathematics of Oil Recovery},
  address       = {Bergen, Norway},
  month         = {9},
  year          = {2008}
}

@InProceedings{   Agelas.Di-Pietro.ea:08*3,
  author        = {Ag\'{e}las, L. and Di Pietro, D. A. and Masson, R.},
  title         = {A symmetric and coercive finite volume scheme for
                  multiphase porous media flow with applications in the oil
                  industry},
  booktitle     = {Finite Volumes for Complex Applications V},
  publisher     = {John Wiley \& Sons},
  editor        = {R. Eymard and J.-M. H\'erard},
  isbn          = {978-1-84821-035-6},
  pages         = {35--52},
  year          = {2008},
  note          = {Invited paper},
  hal           = {hal-01818220}
}

@InProceedings{   Agelas.Di-Pietro:08,
  author        = {Ag\'{e}las, L. and Di Pietro, D. A.},
  title         = {A symmetric finite volume scheme for anisotropic
                  heterogeneous second-order elliptic problems},
  booktitle     = {Finite Volumes for Complex Applications V},
  publisher     = {John Wiley \& Sons},
  editor        = {R. Eymard and J.-M. H\'erard},
  isbn          = {978-1-84821-035-6},
  pages         = {705--716},
  year          = {2008}
}

@Article{         Di-Pietro.Ern.ea:08,
  author        = {Di Pietro, D. A. and Ern, A. and Guermond, J.-L.},
  title         = {Discontinuous {G}alerkin methods for anisotropic
                  semi-definite diffusion with advection},
  journal       = {SIAM J. Numer. Anal.},
  volume        = {46},
  number        = {2},
  pages         = {805--831},
  year          = {2008},
  doi           = {10.1137/060676106},
  hal           = {hal-01818201}
}

@InProceedings{   Di-Pietro.Ern:08,
  author        = {Di Pietro, D. A. and Ern, A.},
  title         = {A discontinuous {Galerkin} flux for anisotropic
                  heterogeneous second-order elliptic problems},
  booktitle     = {Finite Volumes for Complex Applications V},
  publisher     = {John Wiley \& Sons},
  editor        = {R. Eymard and J.-M. H\'erard},
  isbn          = {978-1-84821-035-6},
  pages         = {777--793},
  year          = {2008},
  hal           = {hal-01818221}
}

@InProceedings{   Mundal.Di-Pietro.ea:08,
  author        = {Mundal, S. and Di Pietro, D. A. and Aavatsmark, I.},
  title         = {Compact-stencil {MPFA} method for heterogeneous
                  highly-anisotropic second order elliptic problems},
  booktitle     = {Finite Volumes for Complex Applications V},
  publisher     = {John Wiley \& Sons},
  editor        = {R. Eymard and J.-M. H\'erard},
  isbn          = {978-1-84821-035-6},
  pages         = {905--918},
  year          = {2008},
  hal           = {hal-01818222}
}

@Article{         Bassi.Crivellini.ea:07,
  author        = {Bassi, F. and Crivellini, A. and Di Pietro, D. A. and
                  Rebay, S.},
  title         = {An implicit high-order discontinuous {G}alerkin method for
                  steady and unsteady incompressible flows},
  year          = {2007},
  journal       = {Comp. \& Fl.},
  volume        = {36},
  number        = {10},
  pages         = {1529--1546},
  doi           = {10.1016/j.compfluid.2007.03.012},
  hal           = {hal-01818204}
}

@Article{         Di-Pietro:07,
  author        = {Di Pietro, D. A.},
  title         = {Analysis of a discontinuous {G}alerkin approximation of
                  the {S}tokes problem based on an artificial compressibility
                  flux},
  year          = {2007},
  journal       = {Int. J. Num. Meth. Fluids},
  volume        = {55},
  number        = {8},
  pages         = {793--813},
  doi           = {10.1002/fld.1495},
  hal           = {hal-01818207}
}

@Article{         Bassi.Crivellini.ea:06,
  author        = {Bassi, F. and Crivellini, A. and Di Pietro, D. A. and
                  Rebay, S.},
  title         = {An artificial compressibility flux for the discontinuous
                  {Galerkin} solution of the incompressible {Navier-Stokes}
                  equations},
  journal       = {J. Comput. Phys.},
  volume        = {218},
  number        = {2},
  year          = {2006},
  pages         = {794--815},
  doi           = {10.1016/j.jcp.2006.03.006},
  hal           = {hal-01818209}
}

@InProceedings{   Bassi.Crivellini.ea:06*1,
  author        = {Bassi, F. and Crivellini, A. and Di Pietro, D. A. and
                  Rebay, S.},
  title         = {{A high-order discontinuous Galerkin solver for 3D
                  aerodynamic turbulent flows}},
  booktitle     = {ECCOMAS CFD 2006 Proceedings (Egmond an Zee,
                  Netherlands)},
  editor        = {P. Wesseling and E. {O\~nate} and J. P\'eriaux},
  year          = {2006},
  month         = {9}
}

@Article{         Di-Pietro.Lo-Forte.ea:06,
  author        = {Di Pietro, D. A. and Lo Forte, S. and Parolini, N.},
  title         = {Mass preserving finite element implementations of the
                  level set method},
  journal       = {App. Num. Math.},
  volume        = {56},
  issue         = {9},
  pages         = {1179--1195},
  year          = {2006},
  doi           = {10.1016/j.apnum.2006.03.003},
  hal           = {hal-01818211}
}

@Thesis{          Di-Pietro:06,
  author        = {Di Pietro, D. A.},
  title         = {Discontinuous {Galerkin} methods for the incompressible
                  {Navier--Stokes} equations},
  school        = {Universit\`{a} di Bergamo},
  month         = {3},
  type          = {Ph.D. thesis},
  year          = {2006}
}

@Article{         Cossali.Di-Pietro.ea:03,
  author        = {Cossali, G. E. and Di Pietro, D. A. and Marengo, M.},
  title         = {Comparison of four analytical and numerical models for a
                  microchannel heat sink},
  journal       = {Int. J. Heat and Tech.},
  volume        = {21},
  number        = {2},
  pages         = {31--42},
  year          = {2003},
  hal           = {hal-01820286}
}

@InProceedings{   Cossali.Di-Pietro.ea:03*1,
  author        = {Cossali, G. E. and Di Pietro, D. A. and Marengo, M.},
  title         = {{Analytical and numerical modeling of microchannel heat
                  sinks}},
  booktitle     = {Proceedings of the First International Conference on
                  Microchannels and Minichannels (Rochester, New York)},
  month         = {4},
  year          = {2003}
}

@InProceedings{   Cossali.Di-Pietro.ea:02,
  author        = {Cossali, G. E. and Di Pietro, D. A. and Marengo, M.},
  title         = {{Design of a microchannel cooling system for BTeV particle
                  detector}},
  booktitle     = {Proceedings of the 8th International Workshop on Thermal
                  Investigations of ICs and Systems (Madrid, Spain)},
  month         = {9},
  year          = {2002}
}