Paola F. Antonietti

Publication Activity (10 Years)

Years Active: 2011-2024
Publications (10 Years): 69

Top Topics

Neurodegenerative Diseases

Stability Analysis

Wave Propagation

Top Venues

Comput. Math. Appl.

J. Sci. Comput.

J. Comput. Phys.

Publications

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 (2024)
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 (2024)
Paola F. Antonietti, Stefano Bonetti, Michele Botti, Mattia Corti, Ivan Fumagalli, Ilario Mazzieri
lymph: discontinuous poLYtopal methods for Multi-PHysics differential problems. CoRR (2024)
Paola F. Antonietti, L. Beirão da Veiga, Michele Botti, Giuseppe Vacca, Marco Verani
A Virtual Element method for non-Newtonian fluid flows. CoRR (2024)
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 (2024)
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 (2024)
Matteo Caldana, Paola F. Antonietti, Luca Dedè
Discovering Artificial Viscosity Models for Discontinuous Galerkin Approximation of Conservation Laws using Physics-Informed Machine Learning. CoRR (2024)
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) (2024)
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 (2024)
Ivan Fumagalli, Mattia Corti, Nicola Parolini, Paola F. Antonietti
Polytopal discontinuous Galerkin discretization of brain multiphysics flow dynamics. J. Comput. Phys. 513 (2024)
Federica Botta, Matteo Calafà, Pasquale Claudio Africa, Christian Vergara, Paola F. Antonietti
High-order Discontinuous Galerkin Methods for the Monodomain and Bidomain Models. CoRR (2024)
Paola F. Antonietti, Mattia Corti
Numerical modelling of protein misfolding in neurodegenerative diseases: a computational study. CoRR (2024)
Paola F. Antonietti, Mattia Corti, Gabriele Martinelli
Polytopal mesh agglomeration via geometrical deep learning for three-dimensional heterogeneous domains. CoRR (2024)
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 (2024)
Mattia Corti, Francesca Bonizzoni, Paola F. Antonietti
Structure Preserving Polytopal Discontinuous Galerkin Methods for the Numerical Modeling of Neurodegenerative Diseases. CoRR (2023)
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 (2023)
Paola F. Antonietti, Luca Dedè, Gabriele Loli, Giancarlo Sangalli, Paolo Tesini
Spline Upwind for space-time Isogeometric Analysis of cardiac electrophysiology. CoRR (2023)
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 (2023)
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 (2023)
Paola F. Antonietti, Stefano Bonetti, Michele Botti
Discontinuous Galerkin Approximation of the Fully Coupled Thermo-poroelastic Problem. SIAM J. Sci. Comput. 45 (2) (2023)
Paola F. Antonietti, Francesca Bonizzoni, Mattia Corti, Agnese Dall'Olio
Discontinuous Galerkin for the heterodimer model of prion dynamics in Parkinson's disease. CoRR (2023)
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 (2023)
Paola F. Antonietti, Pierre Matalon, Marco Verani
Iterative solution to the biharmonic equation in mixed form discretized by the Hybrid High-Order method. CoRR (2023)
Paola F. Antonietti, Francesca Bonizzoni, Marco Verani
A cVEM-DG space-time method for the dissipative wave equation. Comput. Math. Appl. 152 (2023)
Ivan Fumagalli, Mattia Corti, Nicola Parolini, Paola F. Antonietti
Polytopal discontinuous Galerkin discretization of brain multiphysics flow dynamics. CoRR (2023)
Paola F. Antonietti, Lorenzo Liverani, Vittorino Pata
Lack of superstable trajectories in linear viscoelasticity: a numerical approach. Numerische Mathematik 153 (4) (2023)
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) (2023)
Stefano Bonetti, Michele Botti, Paola F. Antonietti
Robust discontinuous Galerkin-based scheme for the fully-coupled non-linear thermo-hydro-mechanical problem. CoRR (2023)
Stefano Bonetti, Michele Botti, Ilario Mazzieri, Paola F. Antonietti
Numerical modelling of wave propagation phenomena in thermo-poroelastic media via discontinuous Galerkin methods. CoRR (2023)
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 (2023)
Alberto Artoni, Paola F. Antonietti, Ilario Mazzieri, Nicola Parolini, Daniele Rocchi
A segregated finite volume - spectral element method for aeroacoustic problems. CoRR (2023)
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 (2023)
Paola F. Antonietti, Michele Botti, Ilario Mazzieri
A space-time discontinuous Galerkin method for coupled poroelasticity-elasticity problems. CoRR (2023)
Mattia Corti, Paola F. Antonietti, Luca Dede', Alfio Maria Quarteroni
Numerical Modelling of the Brain Poromechanics by High-Order Discontinuous Galerkin Methods. CoRR (2022)
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 (2022)
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 (2022)
Paola F. Antonietti, Stefano Bonetti, Michele Botti
Discontinuous Galerkin approximation of the fully-coupled thermo-poroelastic problem. CoRR (2022)
Paola 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 (2022)
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) (2022)
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) (2022)
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 (2022)
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 (2021)
Paola F. Antonietti, Michele Botti, Ilario Mazzieri
On mathematical and numerical modelling of multiphysics wave propagation with polytopal Discontinuous Galerkin methods. CoRR (2021)
Paola F. Antonietti, Simone Scacchi, Giuseppe Vacca, Marco Verani
-VEM for some variants of the Cahn-Hilliard equation: a numerical exploration. CoRR (2021)
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) (2021)
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 (2021)
Paola F. Antonietti, E. Manuzzi
Refinement of polygonal grids using Convolutional Neural Networks with applications to polygonal Discontinous Galerkin and Virtual Element methods. CoRR (2021)
Paola F. Antonietti, Matteo Caldana, Luca Dedè
Accelerating Algebraic Multigrid Methods via Artificial Neural Networks. CoRR (2021)
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) (2020)
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 (2020)
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 (2020)
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 (2020)
Paola F. Antonietti, Ilario Mazzieri, Francesco Migliorini
A space-time discontinuous Galerkin method for the elastic wave equation. J. Comput. Phys. 419 (2020)
Paola F. Antonietti, Laura Melas
Algebraic Multigrid Schemes for High-Order Nodal Discontinuous Galerkin Methods. SIAM J. Sci. Comput. 42 (2) (2020)
Paola F. Antonietti, Gianmarco Manzini, Marco Verani
The conforming virtual element method for polyharmonic problems. Comput. Math. Appl. 79 (7) (2020)
Paola F. Antonietti, Giorgio Pennesi
V-cycle Multigrid Algorithms for Discontinuous Galerkin Methods on Non-nested Polytopic Meshes. J. Sci. Comput. 78 (1) (2019)
Paola F. Antonietti, Gianmarco Manzini, H. Mourad, Marco Verani
The virtual element method for linear elastodynamics models. Design, analysis, and implementation. CoRR (2019)
Paola F. Antonietti, Francesco Bonaldi, Ilario Mazzieri
Simulation of 3D elasto-acoustic wave propagation based on a Discontinuous Galerkin Spectral Element method. CoRR (2019)
Paola F. Antonietti, Ilario Mazzieri, Markus Muhr, Vanja Nikolic, Barbara I. Wohlmuth
A high-order discontinuous Galerkin method for nonlinear sound waves. CoRR (2019)
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) (2019)
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) (2018)
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) (2018)
Paola F. Antonietti, Giorgio Pennesi
V-cycle multigrid algorithms for discontinuous Galerkin methods on non-nested polytopic meshes. CoRR (2017)
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) (2017)
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) (2017)
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) (2016)
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) (2016)
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) (2016)
Paola F. Antonietti, Lourenço Beirão da Veiga, Simone Scacchi, Marco Verani
Virtual Element Method for the Cahn-Hilliard Equation with Polygonal Meshes. SIAM J. Numer. Anal. 54 (1) (2016)
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) (2015)
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) (2015)
Paola F. Antonietti, Marco Sarti, Marco Verani
Multigrid Algorithms for hp-Discontinuous Galerkin Discretizations of Elliptic Problems. SIAM J. Numer. Anal. 53 (1) (2015)
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) (2014)
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) (2014)
Paola F. Antonietti, Nadia Bigoni, Marco Verani
Mimetic Finite Difference Method for Shape Optimization Problems. ENUMATH (2013)
Paola F. Antonietti, Lourenço Beirão da Veiga, Marco Verani
A mimetic discretization of elliptic obstacle problems. Math. Comput. 82 (283) (2013)
Paola F. Antonietti, Alfio Borzì, Marco Verani
Multigrid Shape Optimization Governed by Elliptic PDEs. SIAM J. Control. Optim. 51 (2) (2013)
Paola F. Antonietti, Ilaria Perugia, Zaliani Davide
Schwarz Domain Decomposition Preconditioners for Plane Wave Discontinuous Galerkin Methods. ENUMATH (2013)
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) (2013)
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)
Paola F. Antonietti, Nadia Bigoni, Marco Verani
Mimetic Discretizations of Elliptic Control Problems. J. Sci. Comput. 56 (1) (2013)
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) (2012)
Paola F. Antonietti, Aldo Pratelli
Finite element approximation of the Sobolev constant. Numerische Mathematik 117 (1) (2011)
Paola F. Antonietti, Paul Houston
-Discontinuous Galerkin Finite Element Methods. J. Sci. Comput. 46 (1) (2011)