Publications

Submitted (all the papers are available as (pre-print) reports here)

  1. M. Caldana, P.F. Antonietti, L. Dedè, Discovering Artificial Viscosity Models for Discontinuous Galerkin Approximation of Conservation Laws using Physics-Informed Machine Learning, MOX Report 21/2024, 2024, ArXiv:2402.16517, Submitted
  2. P.F. Antonietti, M. Corti, Numerical modelling of protein misfolding in neurodegenerative diseases: a computational study, 2024, Submitted.
  3. C. Beatrice Leimer Saglio, S. Pagani, M. Corti, P- F. Antonietti, A high-order discontinuous Galerkin method for the numerical modeling of epileptic seizures, 2024, MOX Report 9/2024, 2024, arXiv:2401.14310, Submitted.
  4. P.F. Antonietti, S. Bonetti, M. Botti, Michele, M. Corti, I. Fumagalli, I. Mazzieri, Lymph: discontinuous poLYtopal methods for Multi-PHysics differential problems, 2024, MOX Report 6/2024, 2024, arXiv:2401.13376, Submitted.
  5. P. F. Antonietti, L. Dedè, G. Loli, G. Sangalli, P. Tesini, Upwind for space-time Isogeometric Analysis of cardiac electrophysiology, 2023, arXiv:2311.17500, submitted.
  6. S. Bonetti, M. Botti, P.F. Antonietti, Robust discontinuous Galerkin-based scheme for the fully-coupled non-linear thermo-hydro-mechanical problem, MOX Report 96/2023, arXiv:2311.15665, submitted.
  7. P.F. Antonietti, F. Bonizzoni, M. Corti, A. Dall’Olio, Discontinuous Galerkin for the heterodimer model of prion dynamics in Parkinson’s disease, MOX Report 78/2023, ArXiv:2310.08342, submitted.
  8. I. Fumagalli, M. Corti, N. Parolini, P. F. Antonietti, Polytopal discontinuous Galerkin discretization of brain multiphysics flow dynamics, MOX Report 77/2023, ArXiv:2310.07651, submitted
  9. N. Ferro, S. Micheletti, N. Parolini, S. Perotto, M. Verani, P.F. Antonietti, Level set-fitted polytopal meshes with application to structural topology optimization, MOX Report 69/2023, submitted, 2023.
  10. P.F. Antonietti, P. Matalon, M. Verani, Iterative solution to the biharmonic equation in mixed form discretized by the Hybrid High-Order method, MOX Report 63/2023, ArXiv:2308.10748, 2023, submitted.
  11. M. Corti, F. Bonizzoni, P. F. Antonietti, Structure Preserving Polytopal Discontinuous Galerkin Methods for the Numerical Modeling of Neurodegenerative Diseases, MOX Report 59/2023, ArXiv:2308.00547, Submitted, 2023.
  12. P.F. Antonietti, M. Botti, I. Mazzieri, A space-time discontinuous Galerkin method for coupled poroelasticity-elasticity problems, submitted, ArXiv:2306.01140, Submitted, 2023
  13. M. Caldana, P.F. Antonietti, L. Dedè, A Deep Learning algorithm to accelerate Algebraic Multigrid methods in Finite Element solvers of 3D elliptic PDEs. MOX Report 33/2023, ArXiv:2304.10832 Submitted, 2023.

Books

  1. Paola F. Antonietti, Lourenço Beirão da Veiga, Gianmarco Manzini Editors, The Virtual Element Method and its Applications, SEMA SIMAI Springer series 31, Springer International Publishing, 2022, ISBN 978-3-030-95318-8 [link].
  2. Paola Francesca Antonietti, Paola Bertola, Antonio Capone, Bianca Maria Colosimo, Davide Moscatelli, Carolina Pacchi, and Stefano Ronchi, The Age of Science-Tech Universities: Responsibilities, Challenges and Strategies, Routledge, 2022, ISBN 9781032138350 [link].

Book Chapters

  1. P. F. Antonietti, G. Manzini, I. Mazzieri, S. Scacchi, M. Verani, The Conforming Virtual Element Method for Polyharmonic and Elastodynamics Problems: A Review. In P.F. Antonietti, L. Beirão da Veiga, G. Manzini Editors, “The Virtual Element Method and its Applications”, Springer International Publishing, Cham, 2022.
  2. P.F. Antonietti, C. Cauzzi, I. Mazzieri, L. Melas and M. Stupazzini, Numerical simulation of the Athens 1999 earthquake including simplified models of the Acropolis and the Parthenon: initial results and outlook, to appear in MACH2021 – Mathematical modeling and Analysis of degradation and restoration in Cultural Heritage 2022.
  3. P. F. Antonietti, C. Facciolà, P. Houston, I. Mazzieri, G. Pennesi, and M. Verani. High–order discontinuous Galerkin methods on polyhedral grids for geophysical applications: Seismic wave propagation and fractured reservoir simulations. In D. A. Di Pietro, L. Formaggia, and R. Masson editors, “Polyhedral Methods in Geosciences”, pages 159–225. Springer International Publishing, Cham, 2021 [link, pdf]
  4. P. F. Antonietti, A. Cangiani, J. Collis, Z. Dong, E. H. Georgoulis, S. Giani, and P. Houston. Review of discontinuous Galerkin finite element methods for partial differential equations on complicated domains. In Building bridges: connections and challenges in modern approaches to numerical partial differential equations, volume 114 of Lect. Notes Comput. Sci. Eng. pages 279–308. Springer, [Cham], 2016
  5. P. F. Antonietti, I. Mazzieri, and A. Quarteroni. Improving seismic risk protection through mathematical modeling. In M. V. E. M. Emmer, M. Abate editor, Imaging Maths. Between culture and mathematics: 4, pages 271–282. Unione Matematica Italiana, 2015

Peer-Reviewed Journal Papers

  1. A. Artoni, P.F. Antonietti, I. Mazzieri, N. Parolini, D. Rocchi. A segregated finite volume – spectral element method for aeroacoustic problems, Computers and Mathematics with Applications, 155:193–208 (2024) [link].
  2. M. Corti, F. Bonizzoni, P. F. Antonietti, A. M. Quarteroni, Uncertainty Quantification for Fisher-Kolmogorov Equation on Graphs with Application to Patient-Specific Alzheimer Disease, Mathematical Modelling and Numerical Analysis, in press (2023) [link]
  3. P.F. Antonietti, F. Bonizzoni, M. Verani, A cVEM-DG method for the dissipative wave equation, Computers and Mathematics with Applications 152:341–354 (2023) [link]
  4. P.F. Antonietti, N. Farenga, E. Manuzzi, G. Martinelli, L. Saverio. Agglomeration of Polygonal Grids using Graph Neural Networks with applications to Multigrid solvers, Computers and Mathematics with Applications, 154:45–57 (2024). [link]
  5. M. Corti, F. Bonizzoni, L. Dede’, A.M. Quarteroni, P. F. Antonietti. Discontinuous Galerkin Methods for Fisher-Kolmogorov Equation with Application to α-Synuclein Spreading in Parkinson’s Disease, Computer Methods in Applied Mechanics and Engineering, 417, 116450, 2023 [link]
  6. S. Bonetti, M. Botti, I. Mazzieri, P.F. Antonietti, Numerical modelling of wave propagation phenomena in thermo-poroelastic media via discontinuous Galerkin methods. Journal of Computational Physics, 489:112275, 2023 [link]
  7. P.F. Antonietti, L. Liverani, V. Pata, Lack of superstable trajectories in linear viscoelasticity: A numerical approach, Numerische Mathematik, 153:611–633, 2023 [link]
  8. M. Corti, P. F. Antonietti, L. Dede’, A. Quarteroni, Numerical Modelling of the Brain Poromechanics by High-Order Discontinuous Galerkin Methods, Mathematical Models and Methods in Applied Sciences, 33(08):1577-1609, 2023 [link].
  9. P. F. Antonietti, I. Mazzieri, F. Migliorini, A discontinuous Galerkin time integration scheme for second-order differential equations with applications to seismic wave propagation problems, Computers and Mathematics with Applications, 134:87-100, 2023 [link]
  10. P.F. Antonietti, S. Bonetti, M. Botti, Discontinuous Galerkin approximation of the fully-coupled thermo-poroelastic problem, SIAM J. Sci. Comput., 5(42):A621–A645, 2023 [link]
  11. P.F. Antonietti, G. Vacca, M. Verani, Virtual Element Method for the Navier–Stokes Equation coupled with the Heat Equation, IMA Journal of Numerical Analysis, in press, 2022 [link]
  12. P.F. Antonietti, L. Dede’, M. Caldana, Accelerating Algebraic Multigrid Methods via Artificial Neural Networks, Vietnam Journal of Mathematics, 51, pages 1–36, 2023 [link].
  13. P. F. Antonietti, S. Berrone, M. Busetto, M. Verani, Agglomeration-based geometric multigrid schemes for the Virtual Element Methods, SIAM J. Numer. Anal., 2022, in press [link].
  14. P. F. Antonietti, F. Dassi, E. Manuzzi, Machine Learning based refinement strategies for polyhedral grids with applications to Virtual Element and polyhedral Discontinuous Galerkin methods, J. Comput. Phys, 469, 111531, 2022 [link]
  15. P.F. Antonietti, M. Botti, I. Mazzieri, On mathematical and numerical modelling of multiphysics wave propagation with polytopal Discontinuous Galerkin methods: a review, Vietnam Journal of Mathematics, 50:997-1028, 2022 [link].
  16. F. Di Michele, J. May, D. Pera, V. Kastelic, M. Carafa, C. Smerzini, I. Mazzieri, B. Rubino, P. F. Antonietti, A. Quarteroni, R. Aloisio, P. Marcati. Spectral elements numerical simulation of the 2009 L’Aquila earthquake on a detailed reconstructed domain. Geophysical Journal International, 230(1):29–49, 2022 [link]
  17. P. F. Antonietti, S. Scacchi, G. Vacca, M. Verani, C^1-VEM for some variants of the Cahn-Hilliard equation: a numerical exploration, Discrete and Continuous Dynamical Systems Series S, 15(8):1919-1939, 2022 [link].
  18. P. F. Antonietti, E. Manuzzi, Refinement of polygonal grids using Convolutional Neural Networks with applications to polygonal Discontinuous Galerkin and Virtual Element methods, J. Comput. Phys, 452, 110900 (2022) [link].
  19. P. F. Antonietti, L. Mascotto, M. Verani, S. Zonca. Stability analysis of polytopic Discontinuous Galerkin approximations of the Stokes problem with applications to fluid-structure interaction problems, J. Sci. Comput. 90, 23 (2022) [link].
  20. P.F. Antonietti, M. Botti, I. Mazzieri, S. Nati Poltri. A high-order discontinuous Galerkin method for the poro-elasto-acoustic problem on polygonal and polyhedral grids. SIAM J. Sci. Comput., 2021, in press. arXiv:2006.16373v3
  21. P. F. Antonietti, G. Manzini, S. Scacchi, M. Verani, A review on arbitrarily regular conforming virtual element methods for elliptic partial differential equations, Math. Mod. Meth. Appl. S., 31(14): 2825-2853, 2021 [link].
  22. N. Parolini, L. Dede’, P.F. Antonietti, G. Ardenghi, A. Manzoni, E. Miglio, A. Pugliese, M. Verani, and A. Quarteroni, SUIHTER: A new mathematical model for COVID-19. Application to the analysis of the second epidemic outbreak in Italy. Proc. R. Soc. A 20210027, 2021. [link]
  23. P. F. Antonietti, C. Facciola’, and M. Verani. Polytopic Discontinuous Galerkin methods for the numerical modelling of flow in porous media with networks of fractures. Computers & Mathematics with Applications, 116:116-139, 2022 [link, pdf]
  24. P. F. Antonietti, S. Berrone, A. Borio, A. D’Auria, M. Verani, and S. Weisser. Anisotropic a posteriori error estimate for the Virtual Element Method. IMA J. Numer. Anal., 2021, https://doi.org/10.1093/imanum/drab001 [link].
  25. S. Zonca, P.F. Antonietti, C. Vergara. A Polygonal Discontinuous Galerkin formulation for contact mechanics in fluid-structure interaction problems. Commun. Computat. Phys., 30:1-33, 2021 [link].
  26. P. F. Antonietti, J. De Ponti, L. Formaggia, and A. Scotti. Preconditioning techniques for the numerical solution of flow in fractured porous media. J Sci Comput 86, 2 (2021)[link].
  27. P. F. Antonietti, S. Bertoluzza, D. Prada, and M. Verani. The Virtual Element Method for a Minimal Surface Problem. Calcolo 57, 39, 2020 [link].
  28. P. F. Antonietti, G. Manzini, I. Mazzieri, H. Mourad, and M. Verani. The arbitrary-order Virtual Element method for linear elastodynamics models. Convergence, stability and dispersion-dissipation analysis. Int. J. Numer. Meth. Eng., 122:934-971, 2021. [link]
  29. P. F. Antonietti, F. Migliorini, and I. Mazzieri. A space-time discontinuous Galerkin method for the elastic wave equation. J. Comput. Phys., 419 (2020) 109685 [link].
  30. P. F. Antonietti, I. Mazzieri, L. Melas, R. Paolucci, A. Quarteroni, C. Smerzini, and M. Stupazzini. Three-dimensional physics-based earthquake ground motion simulations for seismic risk assessment in densely populated urban areas. Mathematics in Engineering, 3(2):1–31, 2020 [link].
  31. P. F. Antonietti, I. Mazzieri, M. Muhr, V. Nikolic, and B. Wohlmuth. A high-order discontinuous Galerkin method for nonlinear sound waves. J. Comput. Phys., 415 (2020) 109484 [link]
  32. P. F. Antonietti and L. Melas. Algebraic multigrid schemes for high-order Discontinuous Galerkin methods. SIAM J. Sci. Comput., 42(2), A1147–A1173, 2020 [link].
  33. P. F. Antonietti, C. Facciola’, and M. Verani. Unified analysis of Discontinuous Galerkin approximations of flows in fractured porous media on polygonal and polyhedral grids. Mathematics in Engineering, 2(2): 340-385, 2020 [link]
  34. P. F. Antonietti, F. Bonaldi, and I. Mazzieri. Simulation of 3D elasto-acoustic wave propagation based on a Discontinuous Galerkin Spectral Element method. Int. J. Numer. Methods Eng., 121:2206-2226, 2020 [link]
  35. P. F. Antonietti, P. Houston, G. Pennesi, and E. Suli. An agglomeration-based massively parallel non-overlapping additive Schwarz preconditioner for high-order discontinuous Galerkin methods on polytopic grids. Math. Comp., 89(35):2047–2083, 2020 [link]
  36. P. F. Antonietti, F. Bonaldi, and I. Mazzieri. A high-order discontinuous Galerkin approach to the elasto-acoustic problem. Comput. Methods Appl. Mech. Engrg., 358, 2020 [link]
  37. P. F. Antonietti, G. Manzini, and M. Verani. The conforming virtual element method for polyharmonic problems. Computers and Mathematics with Applications, 79(7):2021-2034, 2020 [link]
  38. P. Antonietti, M. Verani, C. Vergara, and S. Zonca. Numerical solution of fluid-structure interaction problems by means of a high order Discontinuous Galerkin method on polygonal grids. Finite Elem. Anal. Des., 159:1–14, 2019 [link]
  39. P. F. Antonietti, C. Canuto, and M. Verani. An adaptive hp- DG-FE Method for elliptic problems: Convergence and optimality in the 1d case. Communications on Applied Mathematics and Computation, 1:309–331, 2019 [link]
  40. P. F. Antonietti, C. Facciola, A. Russo, and M. Verani. Discontinuous Galerkin Approximation of Flows in Fractured Porous Media on Polytopic Grids. SIAM J. Sci. Comput., 41(1):A109–A138, 2019 [link]
  41. P. F. Antonietti and G. Pennesi. V -cycle Multigrid Algorithms for Discontinuous Galerkin Methods on Non-nested Polytopic Meshes. J. Sci. Comput., 78(1):625–652, 2019 [link]
  42. P. F. Antonietti and I. Mazzieri. High-order discontinuous Galerkin methods for the elastodynamics equation on polygonal and polyhedral meshes. Comput. Methods Appl. Mech. Engrg., 342:414–437, 2018 [link]
  43. P. F. Antonietti, P. Houston, and G. Pennesi. Fast Numerical Integration on Polytopic Meshes with Applications to Discontinuous Galerkin Finite Element Methods. J. Sci. Comput., 77(3):1339–1370, 2018
  44. P. F. Antonietti, J. Droniou, and R. Eymard. An eclectic view on numerical methods for PDEs: Presentation of the special issue ”advanced numerical methods: Recent developments, analysis and applications”. Comput. Methods Appl. Math., 18(3):323–325, 2018
  45. P. F. Antonietti, L. Mascotto, and M. Verani. A multigrid algorithm for the p–version of the Virtual Element method. M2AN Math. Model. Numer. Anal., 52(1):337–364, 2018
  46. P. F. Antonietti, G. Manzini, and M. Verani. The fully nonconforming Virtual Element method for biharmonic problems. M3AS Math. Models Methods Appl. Sci., 28(2):387–407, 2018
  47. P. F. Antonietti, I. Mazzieri, N. Dal Santo, and A. Quarteroni. A high-order discontinuous Galerkin approximation to ordinary differential equations with applications to elastodynamics. IMA J. Nu- mer. Anal., 38(4):1709–1734, 2018
  48. A. Ferroni, P. F. Antonietti, I. Mazzieri, and A. Quarteroni. Dispersion-dissipation analysis of 3-d continuous and discontinuous spectral element methods for the elastodynamics equation. Geophys J Int, 211(3):1554–1574, 2017
  49. A. Agosti, P. F. Antonietti, P. Ciarletta, M. Grasselli, and M. Verani. A Cahn-Hilliard-type equation with application to tumor growth dynamics. M2AS Math. Methods Appl. Sci., 40(18):7598–7626, 2017
  50. P. F. Antonietti, M. Bruggi, S. Scacchi, and M. Verani. On the Virtual Element Method for topology optimization on polygonal meshes: A numerical study. Comput. Math. Appl., 74(5):1091–1109, 2017
  51. P. F. Antonietti, P. Houston, X. Hu, M. Sarti, and M. Verani. Multigrid algorithms for hp-version interior penalty Discontinuous Galerkin methods on polygonal and polyhedral meshes. Calcolo, 54(4):1169–1198, 2017
  52. P. F. Antonietti, B. Merlet, M. Pierre, and M. Verani. Convergence to equilibrium for a second-order time semi-discretization of the Cahn-Hilliard equation. AIMS Mathematics, 1(3):178–194, 2016
  53. P. F. Antonietti, M. Sarti, M. Verani, and L. T. Zikatanov. A uniform additive schwarz precondi- tioner for high-order Discontinuous Galerkin approximations of elliptic problems. J. Sci. Comput., 70(2):608–630, 2017
  54. P. F. Antonietti, P. Houston, and I. Smears. A note on optimal spectral bounds for nonoverlapping domain decomposition preconditioners for hp–version Discontinuous Galerkin methods. Int. J. Numer. Anal. Model., 13(4):513–524, 2016
  55. P. F. Antonietti, P. Pacciarini, and A. Quarteroni. A Discontinuous Galerkin Reduced Basis Element method for elliptic problems. M2AN Math. Model. Numer. Anal., 50:337–360, 2016
  56. P. F. Antonietti, B. Ayuso de Dios, I. Mazzieri, and A. Quarteroni. Stability analysis of Discon- tinuous Galerkin approximations to the elastodynamics problem. J. Sci. Comput., 68:143–170„ 2016
  57. P. F. Antonietti, L. Formaggia, A. Scotti, M. Verani, and N. Verzotti. Mimetic finite difference approximation of flows in fractured porous media. M2AN Math. Model. Numer. Anal., 50(3):809– 832, 2016
  58. P. F. Antonietti, L. Beirao da Veiga, S. Scacchi, and M. Verani. A C1 Virtual Element Method for the Cahn–Hilliard Equation with Polygonal Meshes. SIAM J. Numer. Anal., 54(1):34–56, 2016
  59. P. F. Antonietti, M. Verani, and L. Zikatanov. A two-level method for mimetic finite difference discretizations of elliptic problems. Comput. Math. Appl., 70:2674–2687, 2015
  60. P. F. Antonietti, M. Grasselli, S. Stangalino, and M. Verani. Discontinuous Galerkin approximation of linear parabolic problems with dynamic boundary conditions. J. Sci. Comput., 66:1260–1280, 2016
  61. P. F. Antonietti, C. Marcati, I. Mazzieri, and A. Quarteroni. High order Discontinuous Galerkin methods on simplicial elements for the elastodynamics equation. Numer. Algorithms, 71(1):181–206, 2016
  62. P. F. Antonietti, M. Sarti, and M. Verani. Multigrid algorithms for hp-Discontinuous Galerkin discretizations of elliptic problems. SIAM J. Numer. Anal., 53(1):598–618, 2015
  63. P. F. Antonietti, A. Dedner, P. Madhavan, S. Stangalino, B. Stinner, and M. Verani. High Or- der Discontinuous Galerkin Methods for Elliptic Problems on Surfaces. SIAM J. Numer. Anal., 53(2):1145–1171, 2015
  64. P. F. Antonietti, B. Ayuso de Dios, S. Bertoluzza, and M. Pennacchio. Substructuring precondition- ers for an h-p domain decomposition method with interior penalty mortaring. Calcolo, 52(3):289– 316, 2015
  65. P. F. Antonietti, N. Bigoni, and M. Verani. Mimetic finite difference approximation of quasilinear elliptic problems. Calcolo, 52(1):45–67, 2015
  66. P. F. Antonietti, L. Beirao da Veiga, N. Bigoni, and M. Verani. Mimetic finite differences for nonlinear and control problems. M3AS Math. Models Methods Appl. Sci., 24(8):1457–1493, 2014
  67. P. F. Antonietti, L. Beirao da Veiga, D. Mora, and M. Verani. A stream virtual element formulation of the Stokes problem on polygonal meshes. SIAM J. Numer. Anal., 52(1):386–404, 2014
  68. P. F. Antonietti, S. Giani, and P. Houston. Domain decomposition preconditioners for Discontinuous Galerkin methods for elliptic problems on complicated domains. J. Sci. Comput., 60(1):203–227, 2014
  69. P. F. Antonietti, S. Giani, and P. Houston. hp-version composite Discontinuous Galerkin methods for elliptic problems on complicated domains. SIAM J. Sci. Comput., 35(3):A1417–A1439, 2013
  70. P. F. Antonietti, A. Borzı’, and M. Verani. Multigrid shape optimization governed by elliptic PDEs. SIAM J. Control Optim., 51(2):1417–1440, 2013
  71. P. F. Antonietti, L. Beir ̃ao da Veiga, C. Lovadina, and M. Verani. Hierarchical a posteriori error estimators for the mimetic discretization of elliptic problems. SIAM J. Numer. Anal., 51(1):654–675, 2013
  72. P. F. Antonietti, L. Beir ̃ao da Veiga, and M. Verani. A mimetic discretization of elliptic obstacle problems. Math. Comp., 82(283):1379–1400, 2013
  73. P. F. Antonietti, N. Bigoni, and M. Verani. Mimetic Discretizations of Elliptic Control Problems. J. Sci. Comput., 56(1):14–27, 2013
  74. P. F. Antonietti, B. Ayuso de Dios, S. Brenner, and L.-Y. Sung. Schwarz methods for a precon- ditioned WOPSIP method for elliptic problems. Comput. Methods Appl. Math., 12(3):241–272, 2012
  75. P. F. Antonietti, I. Mazzieri, A. Quarteroni, and F. Rapetti. Non-conforming high order approxi- mations of the elastodynamics equation. Comput. Methods Appl. Mech. Engrg., 209-212:212–238, 2012
  76. P. F. Antonietti and A. Pratelli. Finite element approximation of the Sobolev constant. Numer. Math., 117(1):37–64, 2011
  77. P.F.AntoniettiandP.Houston.Aclassofdomaindecompositionpreconditionersforhp-Discontinuous Galerkin finite element methods. J. Sci. Comput., 46(1):124–149, 2011
  78. P. F. Antonietti, P. Biscari, A. Tavakoli, M. Verani, and M. Vianello. Theoretical study and numerical simulation of textiles. Appl. Math. Model., 35(6):2669–2681, 2011
  79. P. F. Antonietti, N. Fadel, and M. Verani. Modelling and numerical simulation of the polymeric extrusion process in textile products. Commun. Appl. Ind. Math., 1(2):1–13, 2010
  80. P. F. Antonietti, F. Brezzi, and L. Marini. Bubble stabilization of Discontinuous Galerkin methods. Comput. Methods Appl. Mech. Engrg., 198(21-26):1651–1659, 2009
  81. P. F. Antonietti and B. Ayuso. Two-level Schwarz preconditioners for super penalty Discontinuous Galerkin methods. Commun. Comput. Phys., 5(2-4):398–412, 2009
  82. P. F. Antonietti and P. Houston. A pre-processing moving mesh method for Discontinuous Galerkin approximations of advection-diffusion-reaction problems. Int. J. Numer. Anal. Model., 5(4):704– 728, 2008
  83. P. F. Antonietti, F. Brezzi, and L. Marini. Stabilizations of the Baumann-Oden DG formulation: the 3D case. Boll. Unione Mat. Ital. (9), 1(3):629–643, 2008
  84. P. F. Antonietti and B. Ayuso. Multiplicative Schwarz methods for Discontinuous Galerkin approx- imations of elliptic problems. M2AN Math. Model. Numer. Anal., 42(3):443–469, 2008
  85. P. F. Antonietti. Tecniche di decomposizione di dominio, correttezza spettrale e prestazioni nu- meriche dei metodi Discontinuous Galerkin. La Matematica nella Societa’ e nella Cultura, Rivista della Unione Matematica Italiana, Serie I, I(2):211–214, 2008
  86. P. F. Antonietti and L. Heltai. Numerical validation of a class of mixed Discontinuous Galerkin methods for Darcy flow. Comput. Methods Appl. Mech. Engrg., 196(45-48):4505–4520, 2007
  87. P. F. Antonietti and B. Ayuso. Schwarz domain decomposition preconditioners for Discontinuous Galerkin approximations of elliptic problems: non-overlapping case. M2AN Math. Model. Numer. Anal., 41(1):21–54, 2007
  88. P. F. Antonietti, A. Buffa, and I. Perugia. Discontinuous Galerkin approximation of the Laplace eigenproblem. Comput. Methods Appl. Mech. Engrg., 195(25-28):3483–3503, 2006

Peer-Reviewed Conference Proceedings

  1. A. Artoni, P. F. Antonietti, R. Corradi, I. Mazzieri, N. Parolini, D. Rocchi, P. Schito, and F. F. Semeraro, “AEROSPEED: A high order acoustic solver for aeroacoustic applications,” in Finite Volumes for Complex Applications X—Volume 1, Elliptic and Parabolic Problems, ser. Springer Proceedings in Mathematics and Statistics, vol. 432, 2023, pp. 39–55.
  2. P.F. Antonietti, G. Manzini, S. Scacchi, M. Verani. “On Arbitrarily Regular Conforming Virtual Element Methods for Elliptic Partial Differential Equations“. In: Melenk, J.M., Perugia, I., Schöberl, J., Schwab, C. (eds) Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2020+1. Lecture Notes in Computational Science and Engineering, vol 137. Springer, Cham, 2023.
  3. P. F. Antonietti, S. Berrone, M. Verani, and S. Weißer. The virtual element method on anisotropic polygonal discretizations. In F. A. Radu, K. Kumar, I. Berre, J. M. Nordbotten, and I. S. Pop, editors, Numerical Mathematics and Advanced Applications ENUMATH 2017, pages 725–733, Cham, 2019. Springer International Publishing.
  4. PF. Antonietti, S. Berrone, M. Verani, S. Weißer, The virtual element method on anisotropic polygonal discretizations, Lecture Notes in Computational Science and Engineering, 2019, 126, pp. 725–733
  5. P. F. Antonietti, C. Facciola’, and M. Verani. Mixed-primal Discontinuous Galerkin approximation of flows in fractured porous media on polygonal and polyhedral grids. Proceedings in Applied Mathematics and Mechanics – 90th GAMM Annual Meeting – 2019. DOI:10.1002/pamm.201900117, 2019
  6. P. F. Antonietti, A. Ferroni, I. Mazzieri, R. Paolucci, A. Quarteroni, C. Smerzini, and M. Stupazzini. Numerical modeling of seismic waves by discontinuous spectral element methods. In 43-eme Congres National d’Analyse Numerique, CANUM2016, volume 61 of ESAIM Proc. Surveys, pages 1–37. EDP Sci., Les Ulis, 2018
  7. P. F. Antonietti, A. Ferroni, I. Mazzieri, and A. Quarteroni. hp-version discontinuous Galerkin approximations of the elastodynamics equation. In Spectral and high order methods for partial differential equations—ICOSAHOM 2016, volume 119 of Lect. Notes Comput. Sci. Eng., pages 3–19. Springer, Cham, 2017
  8. P. Antonietti, M. Bruggi, S. Scacchi, and M. Verani. Vem and topology optimization on polygonal meshes. In ECCOMAS Congress 2016 – Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering, volume 2, pages 2941–2952, 2016
  9. P. Antonietti, P. Panfili, A. Scotti, L. Turconi, M. Verani, A. Cominelli, and L. Formaggia. Optimal techniques to simulate flow in fractured reservoir. 14th European Conference on the Mathematics of Oil Recovery 2014, ECMOR 2014, 2014. Article n. B31
  10. P. F. Antonietti, M. Sarti, and M. Verani. Multigrid algorithms for high order discontinuous Galerkin methods. In Domain decomposition methods in science and engineering XXII, volume 104 of Lect. Notes Comput. Sci. Eng., pages 3–13. Springer, Cham, 2016
  11. P. F. Antonietti, I. Perugia, and D. Zaliani. Schwarz domain decomposition preconditioners for plane wave discontinuous Galerkin methods. In Numerical mathematics and advanced applications— ENUMATH 2013, volume 103 of Lect. Notes Comput. Sci. Eng., pages 557–572. Springer, Cham, 2015
  12. P. F. Antonietti, N. Bigoni, and M. Verani. Mimetic finite difference method for shape optimization problems. In Numerical mathematics and advanced applications—ENUMATH 2013, volume 103 of Lect. Notes Comput. Sci. Eng., pages 125–132. Springer, Cham, 2015
  13. R. Paolucci, M. Stupazzini, P. F. Antonietti, R. Guidotti, I. Mazzieri, C. Smerzini, and M. Beretta. Deterministic seismic scenarios from 3d numerical simulations. In Vienna Congress on Recent Advances in Earthquake Engineering and Structural Dynamics 2013 (VEESD 2013). C. Adam, R. Heuer, W. Lenhardt & C. Schranz (eds), 2013. 28-30 August 2013,Vienna, Austria, Paper No. 255. ISBN: 978-3-902749-04-8
  14. P. F. Antonietti, I. Mazzieri, A. Quarteroni, and F. Rapetti. High order space-time discretization for elastic wave propagation problems. In Spectral and high order methods for partial differential equations—ICOSAHOM 2012, volume 95 of Lect. Notes Comput. Sci. Eng., pages 87–97. Springer, Cham, 2014
  15. P. F. Antonietti, L. Beirao da Veiga, and M. Verani. An adaptive MFD method for the obstacle problem. In Numerical Mathematics and Advanced Applications 2011, pages 3–12, Berlin, 2013. Springer
  16. P. F. Antonietti and P. Houston. Preconditioning high-order discontinuous Galerkin discretizations of elliptic problems. In Domain decomposition methods in science and engineering XX, volume 91 of Lect. Notes Comput. Sci. Eng., pages 231–238. Springer, Heidelberg, 2013
  17. P. F. Antonietti and A. Quarteroni. Numerical performance of Discontinuous and stabilized con- tinuous Galerkin methods for convection-diffusion problems. In Numerical Methods for Hyperbolic Equations: Theory and Appl., An Int. Conf. to Honour Professor E.F. Toro – Proc. of the Int. Conf. on Numerical Methods for Hyperbolic Equations: Theory and Appl., pages 75–85, 2013
  18. I. Mazzieri, C. Smerzini, P. F. Antonietti, F. Rapetti, M. Stupazzini, R. Paolucci, and A. Quarteroni. Non-conforming spectral approximations for the elasticwave equation in heterogeneous media. In ECCOMAS Thematic Conference – COMPDYN 2011: 3rd International Conference on Computa- tional Methods in Structural Dynamics and Earthquake Engineering, 2011
  19. P. F. Antonietti and E. Suli. Domain decomposition preconditioning for discontinuous Galerkin approximations of convection-diffusion problems. In Domain decomposition methods in science and engineering XVIII, volume 70 of Lect. Notes Comput. Sci. Eng., pages 259–266. Springer, Berlin, 2009
  20. P. F. Antonietti and P. Houston. An hr-adaptive Discontinuous Galerkin method for advection- diffusion problems. In Communications to SIMAI Congress, Rome, Italy, 2009. Vol. 3
  21. P. F. Antonietti and B. Ayuso. Class of preconditioners for discontinuous Galerkin approximations of elliptic problems. In Domain decomposition methods in science and engineering XVII, volume 60 of Lect. Notes Comput. Sci. Eng., pages 185–192. Springer, Berlin, 2008
  22. P. F. Antonietti and B. Ayuso. Multiplicative Schwarz algorithms for symmetric Discontinuous Galerkin methods. In Applied and industrial mathematics in Italy II. Selected Contributions from the 8th SIMAI Conference, volume 75 of Series on Advances in Mathematics for Applied Sciences, pages 66–77. World Sci. Publ., Hackensack, NJ, 2007
  23. P. F. Antonietti, B. Ayuso, and L. Heltai. Schwarz domain decomposition preconditioners for interior penalty approximations of elliptic problems. In Numerical mathematics and advanced applications, pages 423–431. Springer, Berlin, 2006
  24. P. F. Antonietti and B. Ayuso. Multiplicative Schwarz methods for Discontinuous Galerkin approximations of elliptic problems. In Communications to SIMAI Congress, 2006. Vol. 1
  25. P. F. Antonietti and B. Ayuso. Schwarz methods for interior penalty approximations to elliptic problems. In Proceeding of the XIX CEDYA, Conference on Differential Equations and Applications, 2005. Electronic

Papers for Popularization of Mathematics

  1. P. F. Antonietti and I. Mazzieri, La matematica dei terremoti: modelli e algoritmi, Sapere – Edizioni Dedalo, 2022.
  2. P. F. Antonietti and M. Verani. Simulation de produits textiles, Images des Mathematiques, 2012
  3. P. F. Antonietti and M. Verani. Simulation of polymeric textile products. In L. Thibaut, M. Primicerio, M. Esteban, M. Fontes, M. Maday, V. Mehrmann, G. Quadros, W. Schilders, A. Schuppert, and H. Tewkesbury, editors, European Success Stories in Industrial Mathematics, pages 83–83. Springer, 2011
  4. P. F. Antonietti and M. Verani. Matematica applicata ai tessuti: uno stile tutto da dimostrare, Newton 2 (2010), pp. 94-95

Other Publications

  1. A. Tavakoli, P. F. Antonietti, and M. Verani. Automatic computation of the impermeability of woven fabrics through image processing. MOX Report 34/2013

Theses

  1. P. F. Antonietti. Domain Decomposition, Spectral Correctness and Numerical Testing of Discon- tinuous Galerkin Methods. PhD Thesis, Universita’ degli Studi di Pavia, 2007
  2. P. F. Antonietti. Il metodo Interior Penalty per il problema di Poisson. Laurea in Matematica, Università degli Studi di Pavia, 2003