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ORCIDPaola F. Antonietti
Paola Francesca Antonietti
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2020 – today
- 2025
[j48]Matteo Caldana
, Paola F. Antonietti, Luca Dede':
Discovering artificial viscosity models for discontinuous Galerkin approximation of conservation laws using physics-informed machine learning. J. Comput. Phys. 520: 113476 (2025)- 2024
- [j47]Paola F. Antonietti, Nicola Farenga, Enrico Manuzzi, Gabriele Martinelli, Luca Saverio:
Agglomeration of polygonal grids using graph neural networks with applications to multigrid solvers. Comput. Math. Appl. 154: 45-57 (2024) - [j46]Alberto Artoni, Paola F. Antonietti, Ilario Mazzieri, Nicola Parolini, Daniele Rocchi:
A hybrid finite volume - spectral element method for aeroacoustic problems. Comput. Math. Appl. 155: 193-208 (2024) - [j45]Matteo Caldana, Paola F. Antonietti, Luca Dede':
A deep learning algorithm to accelerate algebraic multigrid methods in finite element solvers of 3D elliptic PDEs. Comput. Math. Appl. 167: 217-231 (2024) - [j44]Nicola Ferro, Stefano Micheletti, Nicola Parolini, Simona Perotto, Marco Verani, Paola Francesca Antonietti:
Level set-fitted polytopal meshes with application to structural topology optimization. Comput. Math. Appl. 169: 99-111 (2024) - [j43]Paola F. Antonietti, Pierre Matalon, Marco Verani:
Iterative solution to the biharmonic equation in mixed form discretized by the Hybrid High-Order method. Comput. Math. Appl. 171: 154-163 (2024) - [j42]Ivan Fumagalli, Mattia Corti, Nicola Parolini, Paola F. Antonietti:
Polytopal discontinuous Galerkin discretization of brain multiphysics flow dynamics. J. Comput. Phys. 513: 113115 (2024) - [j41]Mattia Corti, Francesca Bonizzoni, Paola F. Antonietti:
Structure Preserving Polytopal Discontinuous Galerkin Methods for the Numerical Modeling of Neurodegenerative Diseases. J. Sci. Comput. 100(2): 39 (2024) - [i47]Paola F. Antonietti, Stefano Bonetti, Michele Botti, Mattia Corti, Ivan Fumagalli, Ilario Mazzieri:
lymph: discontinuous poLYtopal methods for Multi-PHysics differential problems. CoRR abs/2401.13376 (2024) - [i46]Caterina Beatrice Leimer Saglio, Stefano Pagani, Mattia Corti, Paola F. Antonietti:
A high-order discontinuous Galerkin method for the numerical modeling of epileptic seizures. CoRR abs/2401.14310 (2024) - [i45]Paola F. Antonietti, Mattia Corti:
Numerical modelling of protein misfolding in neurodegenerative diseases: a computational study. CoRR abs/2401.15747 (2024) - [i44]Matteo Caldana, Paola F. Antonietti, Luca Dedè:
Discovering Artificial Viscosity Models for Discontinuous Galerkin Approximation of Conservation Laws using Physics-Informed Machine Learning. CoRR abs/2402.16517 (2024) - [i43]Paola F. Antonietti, L. Beirão da Veiga, Michele Botti, Giuseppe Vacca, Marco Verani:
A Virtual Element method for non-Newtonian fluid flows. CoRR abs/2403.03886 (2024) - [i42]Federica Botta, Matteo Calafà, Pasquale Claudio Africa, Christian Vergara, Paola F. Antonietti:
High-order Discontinuous Galerkin Methods for the Monodomain and Bidomain Models. CoRR abs/2406.03045 (2024) - [i41]Paola F. Antonietti, Mattia Corti, Gabriele Martinelli:
Polytopal mesh agglomeration via geometrical deep learning for three-dimensional heterogeneous domains. CoRR abs/2406.10587 (2024) - [i40]Paola F. Antonietti, Mattia Corti, Giacomo Lorenzon:
A discontinuous Galerkin method for the three-dimensional heterodimer model with application to prion-like proteins' dynamics. CoRR abs/2407.16065 (2024) - [i39]Paola F. Antonietti, Michele Botti, Alessandra Cancrini, Ilario Mazzieri:
A polytopal discontinuous Galerkin method for the pseudo-stress formulation of the unsteady Stokes problem. CoRR abs/2408.08760 (2024) - 2023
- [j40]Paola F. Antonietti, Ilario Mazzieri, Francesco Migliorini:
A discontinuous Galerkin time integration scheme for second order differential equations with applications to seismic wave propagation problems. Comput. Math. Appl. 134: 87-100 (2023) - [j39]Paola F. Antonietti, Francesca Bonizzoni, Marco Verani:
A cVEM-DG space-time method for the dissipative wave equation. Comput. Math. Appl. 152: 341-354 (2023) - [j38]Stefano Bonetti, Michele Botti, Ilario Mazzieri, Paola F. Antonietti:
Numerical modeling of wave propagation phenomena in thermo-poroelastic media via discontinuous Galerkin methods. J. Comput. Phys. 489: 112275 (2023) - [j37]Paola F. Antonietti, Lorenzo Liverani, Vittorino Pata:
Lack of superstable trajectories in linear viscoelasticity: a numerical approach. Numerische Mathematik 153(4): 611-633 (2023) - [j36]Paola F. Antonietti, Stefano Berrone, Martina Busetto, Marco Verani:
Agglomeration-Based Geometric Multigrid Schemes for the Virtual Element Method. SIAM J. Numer. Anal. 61(1): 223-249 (2023) - [j35]Paola F. Antonietti, Stefano Bonetti, Michele Botti:
Discontinuous Galerkin Approximation of the Fully Coupled Thermo-poroelastic Problem. SIAM J. Sci. Comput. 45(2): 621- (2023) - [i38]Alberto Artoni, Paola F. Antonietti, Ilario Mazzieri, Nicola Parolini, Daniele Rocchi:
A segregated finite volume - spectral element method for aeroacoustic problems. CoRR abs/2302.03370 (2023) - [i37]Mattia Corti, Paola F. Antonietti, Francesca Bonizzoni, Luca Dede', Alfio Quarteroni:
Discontinuous Galerkin Methods for Fisher-Kolmogorov Equation with Application to α-Synuclein Spreading in Parkinson's Disease. CoRR abs/2302.07126 (2023) - [i36]Stefano Bonetti, Michele Botti, Ilario Mazzieri, Paola F. Antonietti:
Numerical modelling of wave propagation phenomena in thermo-poroelastic media via discontinuous Galerkin methods. CoRR abs/2303.09481 (2023) - [i35]Alberto Artoni, Paola F. Antonietti, Roberto Corradi, Ilario Mazzieri, Nicola Parolini, Daniele Rocchi, Paolo Schito, Francesco F. Semeraro:
AeroSPEED: a high order acoustic solver for aeroacoustic applications. CoRR abs/2303.10377 (2023) - [i34]Paola Francesca Antonietti, Francesca Bonizzoni, Marco Verani:
A DG-VEM method for the dissipative wave equation. CoRR abs/2303.17391 (2023) - [i33]Matteo Caldana, Paola F. Antonietti, Luca Dede':
A Deep Learning algorithm to accelerate Algebraic Multigrid methods in Finite Element solvers of 3D elliptic PDEs. CoRR abs/2304.10832 (2023) - [i32]Mattia Corti, Francesca Bonizzoni, Paola F. Antonietti, Alfio Maria Quarteroni:
Uncertainty Quantification for Fisher-Kolmogorov Equation on Graphs with Application to Patient-Specific Alzheimer Disease. CoRR abs/2305.03619 (2023) - [i31]Paola F. Antonietti, Michele Botti, Ilario Mazzieri:
A space-time discontinuous Galerkin method for coupled poroelasticity-elasticity problems. CoRR abs/2306.01140 (2023) - [i30]Mattia Corti, Francesca Bonizzoni, Paola F. Antonietti:
Structure Preserving Polytopal Discontinuous Galerkin Methods for the Numerical Modeling of Neurodegenerative Diseases. CoRR abs/2308.00547 (2023) - [i29]Paola F. Antonietti, Pierre Matalon, Marco Verani:
Iterative solution to the biharmonic equation in mixed form discretized by the Hybrid High-Order method. CoRR abs/2308.10748 (2023) - [i28]Nicola Ferro, Stefano Micheletti, Nicola Parolini, Simona Perotto, Marco Verani, Paola Francesca Antonietti:
Level set-fitted polytopal meshes with application to structural topology optimization. CoRR abs/2309.11389 (2023) - [i27]Ivan Fumagalli, Mattia Corti, Nicola Parolini, Paola F. Antonietti:
Polytopal discontinuous Galerkin discretization of brain multiphysics flow dynamics. CoRR abs/2310.07651 (2023) - [i26]Paola F. Antonietti, Francesca Bonizzoni, Mattia Corti, Agnese Dall'Olio:
Discontinuous Galerkin for the heterodimer model of prion dynamics in Parkinson's disease. CoRR abs/2310.08342 (2023) - [i25]Stefano Bonetti, Michele Botti, Paola F. Antonietti:
Robust discontinuous Galerkin-based scheme for the fully-coupled non-linear thermo-hydro-mechanical problem. CoRR abs/2311.15665 (2023) - [i24]Paola F. Antonietti, Luca Dedè, Gabriele Loli, Giancarlo Sangalli, Paolo Tesini:
Spline Upwind for space-time Isogeometric Analysis of cardiac electrophysiology. CoRR abs/2311.17500 (2023) - 2022
- [j34]Paola F. Antonietti, Chiara Facciolà, Marco Verani:
Polytopic discontinuous Galerkin methods for the numerical modelling of flow in porous media with networks of intersecting fractures. Comput. Math. Appl. 116: 116-139 (2022) - [j33]Paola F. Antonietti, Enrico 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) - [j32]Paola F. Antonietti, Franco Dassi, Enrico 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) - [j31]Paola F. Antonietti, Lorenzo Mascotto, Marco Verani, Stefano Zonca:
Stability Analysis of Polytopic Discontinuous Galerkin Approximations of the Stokes Problem with Applications to Fluid-Structure Interaction Problems. J. Sci. Comput. 90(1): 23 (2022) - [j30]Paola F. Antonietti, Michele Botti, Ilario Mazzieri, Nati Poltri Simone:
A High-Order Discontinuous Galerkin Method for the Poro-elasto-acoustic Problem on Polygonal and Polyhedral Grids. SIAM J. Sci. Comput. 44(1): 1- (2022) - [i23]Paola Francesca Antonietti, Giuseppe Vacca, Marco Verani:
Virtual Element Method for the Navier-Stokes Equation coupled with the Heat Equation. CoRR abs/2205.00954 (2022) - [i22]Paola F. Antonietti, Stefano Bonetti, Michele Botti:
Discontinuous Galerkin approximation of the fully-coupled thermo-poroelastic problem. CoRR abs/2205.04262 (2022) - [i21]Mattia Corti, Paola F. Antonietti, Luca Dede', Alfio Maria Quarteroni:
Numerical Modelling of the Brain Poromechanics by High-Order Discontinuous Galerkin Methods. CoRR abs/2210.02272 (2022) - [i20]Paola F. Antonietti, Nicola Farenga, Enrico Manuzzi, Gabriele Martinelli, Luca Saverio:
Agglomeration of Polygonal Grids using Graph Neural Networks with applications to Multigrid solvers. CoRR abs/2210.17457 (2022) - 2021
- [j29]Paola F. Antonietti, Jacopo De Ponti, Luca Formaggia, Anna Scotti:
Preconditioning Techniques for the Numerical Solution of Flow in Fractured Porous Media. J. Sci. Comput. 86(1): 2 (2021) - [i19]Nicola Parolini, Luca Dedè, Paola F. Antonietti, Giovanni Ardenghi, Andrea Manzoni, Edie Miglio, Andrea Pugliese, Marco Verani, Alfio Quarteroni:
SUIHTER: A new mathematical model for COVID-19. Application to the analysis of the second epidemic outbreak in Italy. CoRR abs/2101.03369 (2021) - [i18]Paola Francesca Antonietti, Gianmarco Manzini, Ilario Mazzieri, Simone Scacchi, Marco Verani:
The conforming virtual element method for polyharmonic and elastodynamics problems: a review. CoRR abs/2102.01652 (2021) - [i17]Paola F. Antonietti, Enrico Manuzzi:
Refinement of polygonal grids using Convolutional Neural Networks with applications to polygonal Discontinous Galerkin and Virtual Element methods. CoRR abs/2102.05738 (2021) - [i16]Paola Francesca Antonietti, Gianmarco Manzini, Simone Scacchi, Marco Verani:
A review on arbitrarily regular conforming virtual element methods for elliptic partial differential equations. CoRR abs/2104.03402 (2021) - [i15]Paola F. Antonietti, Matteo Caldana, Luca Dedè:
Accelerating Algebraic Multigrid Methods via Artificial Neural Networks. CoRR abs/2111.01629 (2021) - [i14]Paola F. Antonietti, Michele Botti, Ilario Mazzieri:
On mathematical and numerical modelling of multiphysics wave propagation with polytopal Discontinuous Galerkin methods. CoRR abs/2111.02311 (2021) - [i13]Paola F. Antonietti, Ilario Mazzieri, Francesco Migliorini:
A discontinuous Galerkin time integration scheme for second order differential equations with applications to seismic wave propagation problems. CoRR abs/2112.01792 (2021) - [i12]Paola Francesca Antonietti, Stefano Berrone, Martina Busetto, Marco Verani:
Agglomeration-based geometric multigrid schemes for the Virtual Element Method. CoRR abs/2112.11080 (2021) - [i11]Paola Francesca Antonietti, Gianmarco Manzini, Simone Scacchi, Marco Verani:
On arbitrarily regular conforming virtual element methods for elliptic partial differential equations. CoRR abs/2112.13295 (2021) - [i10]Paola F. Antonietti, Simone Scacchi, Giuseppe Vacca, Marco Verani:
C1-VEM for some variants of the Cahn-Hilliard equation: a numerical exploration. CoRR abs/2112.15405 (2021) - 2020
- [j28]Paola F. Antonietti, Gianmarco Manzini, Marco Verani:
The conforming virtual element method for polyharmonic problems. Comput. Math. Appl. 79(7): 2021-2034 (2020) - [j27]Paola F. Antonietti, Ilario Mazzieri, Markus Muhr, Vanja Nikolic, Barbara I. Wohlmuth:
A high-order discontinuous Galerkin method for nonlinear sound waves. J. Comput. Phys. 415: 109484 (2020) - [j26]Paola F. Antonietti, Ilario Mazzieri, Francesco Migliorini:
A space-time discontinuous Galerkin method for the elastic wave equation. J. Comput. Phys. 419: 109685 (2020) - [j25]Paola F. Antonietti, Paul Houston, Giorgio Pennesi, Endre Süli:
An agglomeration-based massively parallel non-overlapping additive Schwarz preconditioner for high-order discontinuous Galerkin methods on polytopic grids. Math. Comput. 89(325): 2047-2083 (2020) - [j24]Paola F. Antonietti, Laura Melas:
Algebraic Multigrid Schemes for High-Order Nodal Discontinuous Galerkin Methods. SIAM J. Sci. Comput. 42(2): A1147-A1173 (2020) - [i9]Paola Francesca Antonietti, Stefano Berrone, Andrea Borio, Alessandro D'Auria, Marco Verani, Steffen Weißer:
Anisotropic a posteriori error estimate for the Virtual Element Method. CoRR abs/2001.00381 (2020) - [i8]Paola Francesca Antonietti, Chiara Facciolà, Marco Verani:
Polytopic Discontinuous Galerkin methods for the numerical modelling of flow in porous media with networks of intersecting fractures. CoRR abs/2002.06420 (2020) - [i7]Paola F. Antonietti, Ilario Mazzieri, Nati Poltri Simone:
A high-order discontinuous Galerkin method for the poro-elasto-acoustic problem on polygonal and polyhedral grids. CoRR abs/2006.16373 (2020) - [i6]Paola F. Antonietti, Lorenzo Mascotto, Marco Verani, Stefano Zonca:
Stability analysis of polytopic Discontinuous Galerkin approximations of the Stokes problem with applications to fluid-structure interaction problems. CoRR abs/2012.01898 (2020)
2010 – 2019
- 2019
- [j23]Paola F. Antonietti, Giorgio Pennesi:
V-cycle Multigrid Algorithms for Discontinuous Galerkin Methods on Non-nested Polytopic Meshes. J. Sci. Comput. 78(1): 625-652 (2019) - [j22]Paola F. Antonietti, Chiara Facciolà, Alessandro Russo, Marco Verani:
Discontinuous Galerkin Approximation of Flows in Fractured Porous Media on Polytopic Grids. SIAM J. Sci. Comput. 41(1): A109-A138 (2019) - [i5]Paola F. Antonietti, Francesco Bonaldi, Ilario Mazzieri:
Simulation of 3D elasto-acoustic wave propagation based on a Discontinuous Galerkin Spectral Element method. CoRR abs/1907.05405 (2019) - [i4]Paola F. Antonietti, Ilario Mazzieri, Markus Muhr, Vanja Nikolic, Barbara I. Wohlmuth:
A high-order discontinuous Galerkin method for nonlinear sound waves. CoRR abs/1912.02281 (2019) - [i3]Paola F. Antonietti, Gianmarco Manzini, Hashem M. Mourad, Marco Verani:
The virtual element method for linear elastodynamics models. Design, analysis, and implementation. CoRR abs/1912.07122 (2019) - [i2]Paola Francesca Antonietti, Silvia Bertoluzza, Daniele Prada, Marco Verani:
The Virtual Element Method for a Minimal Surface Problem. CoRR abs/1912.09627 (2019) - 2018
- [j21]Paola F. Antonietti, Jérôme Droniou, Robert 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) - [j20]Paola F. Antonietti, Paul Houston, Giorgio Pennesi:
Fast Numerical Integration on Polytopic Meshes with Applications to Discontinuous Galerkin Finite Element Methods. J. Sci. Comput. 77(3): 1339-1370 (2018) - 2017
- [j19]Paola F. Antonietti, Matteo Bruggi, Simone Scacchi, Marco Verani:
On the virtual element method for topology optimization on polygonal meshes: A numerical study. Comput. Math. Appl. 74(5): 1091-1109 (2017) - [j18]Paola F. Antonietti, Marco Sarti, Marco Verani, Ludmil T. Zikatanov:
A Uniform Additive Schwarz Preconditioner for High-Order Discontinuous Galerkin Approximations of Elliptic Problems. J. Sci. Comput. 70(2): 608-630 (2017) - [i1]Paola F. Antonietti, Giorgio Pennesi:
V-cycle multigrid algorithms for discontinuous Galerkin methods on non-nested polytopic meshes. CoRR abs/1709.09147 (2017) - 2016
- [j17]Paola F. Antonietti, Maurizio Grasselli, Simone Stangalino, Marco Verani:
Discontinuous Galerkin Approximation of Linear Parabolic Problems with Dynamic Boundary Conditions. J. Sci. Comput. 66(3): 1260-1280 (2016) - [j16]Paola F. Antonietti, Blanca Ayuso de Dios, Ilario Mazzieri, Alfio Quarteroni:
Stability Analysis of Discontinuous Galerkin Approximations to the Elastodynamics Problem. J. Sci. Comput. 68(1): 143-170 (2016) - [j15]Paola F. Antonietti, Carlo Marcati, Ilario Mazzieri, Alfio Quarteroni:
High order discontinuous Galerkin methods on simplicial elements for the elastodynamics equation. Numer. Algorithms 71(1): 181-206 (2016) - [j14]Paola F. Antonietti, Lourenço Beirão da Veiga, Simone Scacchi, Marco Verani:
A C1 Virtual Element Method for the Cahn-Hilliard Equation with Polygonal Meshes. SIAM J. Numer. Anal. 54(1): 34-56 (2016) - 2015
- [j13]Paola F. Antonietti, Marco Verani, Ludmil T. Zikatanov:
A two-level method for mimetic finite difference discretizations of elliptic problems. Comput. Math. Appl. 70(11): 2674-2687 (2015) - [j12]Paola F. Antonietti, Marco Sarti, Marco Verani:
Multigrid Algorithms for hp-Discontinuous Galerkin Discretizations of Elliptic Problems. SIAM J. Numer. Anal. 53(1): 598-618 (2015) - [j11]Paola F. Antonietti, Andreas Dedner, Pravin Madhavan, Simone Stangalino, Björn Stinner, Marco Verani:
High Order Discontinuous Galerkin Methods for Elliptic Problems on Surfaces. SIAM J. Numer. Anal. 53(2): 1145-1171 (2015) - 2014
- [j10]Paola F. Antonietti, Stefano Giani, Paul Houston:
Domain Decomposition Preconditioners for Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains. J. Sci. Comput. 60(1): 203-227 (2014) - [j9]Paola F. Antonietti, Lourenço Beirão da Veiga, David Mora, Marco Verani:
A Stream Virtual Element Formulation of the Stokes Problem on Polygonal Meshes. SIAM J. Numer. Anal. 52(1): 386-404 (2014) - 2013
- [j8]Paola F. Antonietti, Nadia Bigoni, Marco Verani:
Mimetic Discretizations of Elliptic Control Problems. J. Sci. Comput. 56(1): 14-27 (2013) - [j7]Paola F. Antonietti, Lourenço Beirão da Veiga, Marco Verani:
A mimetic discretization of elliptic obstacle problems. Math. Comput. 82(283): 1379-1400 (2013) - [j6]Paola F. Antonietti, Alfio Borzì, Marco Verani:
Multigrid Shape Optimization Governed by Elliptic PDEs. SIAM J. Control. Optim. 51(2): 1417-1440 (2013) - [j5]Paola F. Antonietti, Lourenço Beirão da Veiga, Carlo Lovadina, Marco Verani:
Hierarchical A Posteriori Error Estimators for the Mimetic Discretization of Elliptic Problems. SIAM J. Numer. Anal. 51(1): 654-675 (2013) - [j4]Paola F. Antonietti, Stefano Giani, Paul Houston:
hp-Version Composite Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains. SIAM J. Sci. Comput. 35(3) (2013) - [c2]Paola F. Antonietti, Nadia Bigoni, Marco Verani:
Mimetic Finite Difference Method for Shape Optimization Problems. ENUMATH 2013: 125-132 - [c1]Paola F. Antonietti, Ilaria Perugia, Davide Zaliani:
Schwarz Domain Decomposition Preconditioners for Plane Wave Discontinuous Galerkin Methods. ENUMATH 2013: 557-572 - [p1]Paola F. Antonietti, Paul Houston:
Preconditioning High-Order Discontinuous Galerkin Discretizations of Elliptic Problems. Domain Decomposition Methods in Science and Engineering XX 2013: 231-238 - 2012
- [j3]Paola F. Antonietti, Blanca Ayuso de Dios, Susanne C. Brenner, Li-Yeng Sung:
Schwarz Methods for a Preconditioned WOPSIP Method for Elliptic Problems. Comput. Methods Appl. Math. 12(3): 241-272 (2012) - 2011
- [j2]Paola F. Antonietti, Paul Houston:
A Class of Domain Decomposition Preconditioners for hp-Discontinuous Galerkin Finite Element Methods. J. Sci. Comput. 46(1): 124-149 (2011) - [j1]Paola F. Antonietti, Aldo Pratelli:
Finite element approximation of the Sobolev constant. Numerische Mathematik 117(1): 37-64 (2011)
Coauthor Index
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