A Class of Domain Decomposition Preconditioners for hp-Discontinuous Galerkin Finite Element Methods. - Paola F. Antonietti; Paul Houston (J. Sci. Comput., 2011)

Finite element approximation of the Sobolev constant. - Paola F. Antonietti; Aldo Pratelli (Numerische Mathematik, 2011)

Schwarz Methods for a Preconditioned WOPSIP Method for Elliptic Problems. - Paola F. Antonietti; Blanca Ayuso de Dios; Susanne C. Brenner; Li-Yeng Sung (Comput. Methods Appl. Math., 2012)

Mimetic Finite Difference Method for Shape Optimization Problems. - Paola F. Antonietti; Nadia Bigoni; Marco Verani (ENUMATH, 2013)

Schwarz Domain Decomposition Preconditioners for Plane Wave Discontinuous Galerkin Methods. - Paola F. Antonietti; Ilaria Perugia; Davide Zaliani (ENUMATH, 2013)

Mimetic Discretizations of Elliptic Control Problems. - Paola F. Antonietti; Nadia Bigoni; Marco Verani (J. Sci. Comput., 2013)

A mimetic discretization of elliptic obstacle problems. - Paola F. Antonietti; Lourenço Beirão da Veiga; Marco Verani (Math. Comput., 2013)

Multigrid Shape Optimization Governed by Elliptic PDEs. - Paola F. Antonietti; Alfio Borzì; Marco Verani (SIAM J. Control. Optim., 2013)

Hierarchical A Posteriori Error Estimators for the Mimetic Discretization of Elliptic Problems. - Paola F. Antonietti; Lourenço Beirão da Veiga; Carlo Lovadina; Marco Verani (SIAM J. Numer. Anal., 2013)

hp-Version Composite Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains. - Paola F. Antonietti; Stefano Giani; Paul Houston (SIAM J. Sci. Comput., 2013)

Preconditioning High-Order Discontinuous Galerkin Discretizations of Elliptic Problems. - Paola F. Antonietti; Paul Houston (Domain Decomposition Methods in Science and Engineering XX, 2013)

Domain Decomposition Preconditioners for Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains. - Paola F. Antonietti; Stefano Giani; Paul Houston (J. Sci. Comput., 2014)

A Stream Virtual Element Formulation of the Stokes Problem on Polygonal Meshes. - Paola F. Antonietti; Lourenço Beirão da Veiga; David Mora; Marco Verani (SIAM J. Numer. Anal., 2014)

A two-level method for mimetic finite difference discretizations of elliptic problems. - Paola F. Antonietti; Marco Verani; Ludmil T. Zikatanov (Comput. Math. Appl., 2015)

High Order Discontinuous Galerkin Methods for Elliptic Problems on Surfaces. - Paola F. Antonietti; Andreas Dedner; Pravin Madhavan; Simone Stangalino; Björn Stinner; Marco Verani (SIAM J. Numer. Anal., 2015)

Multigrid Algorithms for hp-Discontinuous Galerkin Discretizations of Elliptic Problems. - Paola F. Antonietti; Marco Sarti; Marco Verani (SIAM J. Numer. Anal., 2015)

Stability Analysis of Discontinuous Galerkin Approximations to the Elastodynamics Problem. - Paola F. Antonietti; Blanca Ayuso de Dios; Ilario Mazzieri; Alfio Quarteroni (J. Sci. Comput., 2016)

Discontinuous Galerkin Approximation of Linear Parabolic Problems with Dynamic Boundary Conditions. - Paola F. Antonietti; Maurizio Grasselli; Simone Stangalino; Marco Verani (J. Sci. Comput., 2016)

High order discontinuous Galerkin methods on simplicial elements for the elastodynamics equation. - Paola F. Antonietti; Carlo Marcati; Ilario Mazzieri; Alfio Quarteroni (Numer. Algorithms, 2016)

A C1 Virtual Element Method for the Cahn-Hilliard Equation with Polygonal Meshes. - Paola F. Antonietti; Lourenço Beirão da Veiga; Simone Scacchi; Marco Verani (SIAM J. Numer. Anal., 2016)

On the virtual element method for topology optimization on polygonal meshes: A numerical study. - Paola F. Antonietti; Matteo Bruggi; Simone Scacchi; Marco Verani (Comput. Math. Appl., 2017)

A Uniform Additive Schwarz Preconditioner for High-Order Discontinuous Galerkin Approximations of Elliptic Problems. - Paola F. Antonietti; Marco Sarti; Marco Verani; Ludmil T. Zikatanov (J. Sci. Comput., 2017)

An Eclectic View on Numerical Methods for PDEs: Presentation of the Special Issue "Advanced Numerical Methods: Recent Developments, Analysis and Applications". - Paola F. Antonietti; Jérôme Droniou; Robert Eymard (Comput. Methods Appl. Math., 2018)

Fast Numerical Integration on Polytopic Meshes with Applications to Discontinuous Galerkin Finite Element Methods. - Paola F. Antonietti; Paul Houston; Giorgio Pennesi (J. Sci. Comput., 2018)

Simulation of 3D elasto-acoustic wave propagation based on a Discontinuous Galerkin Spectral Element method. - Paola F. Antonietti; Francesco Bonaldi; Ilario Mazzieri (CoRR, 2019)

The virtual element method for linear elastodynamics models. Design, analysis, and implementation. - Paola F. Antonietti; Gianmarco Manzini; Hashem M. Mourad; Marco Verani (CoRR, 2019)

The Virtual Element Method for a Minimal Surface Problem. - Paola Francesca Antonietti; Silvia Bertoluzza; Daniele Prada; Marco Verani (CoRR, 2019)

V-cycle Multigrid Algorithms for Discontinuous Galerkin Methods on Non-nested Polytopic Meshes. - Paola F. Antonietti; Giorgio Pennesi (J. Sci. Comput., 2019)

Discontinuous Galerkin Approximation of Flows in Fractured Porous Media on Polytopic Grids. - Paola F. Antonietti; Chiara Facciolà; Alessandro Russo 002; Marco Verani (SIAM J. Sci. Comput., 2019)

The conforming virtual element method for polyharmonic problems. - Paola F. Antonietti; Gianmarco Manzini; Marco Verani (Comput. Math. Appl., 2020)

Anisotropic a posteriori error estimate for the Virtual Element Method. - Paola Francesca Antonietti; Stefano Berrone; Andrea Borio; Alessandro D'Auria; Marco Verani; Steffen Weißer (CoRR, 2020)

A high-order discontinuous Galerkin method for the poro-elasto-acoustic problem on polygonal and polyhedral grids. - Paola F. Antonietti; Ilario Mazzieri; Nati Poltri Simone (CoRR, 2020)

A space-time discontinuous Galerkin method for the elastic wave equation. - Paola F. Antonietti; Ilario Mazzieri; Francesco Migliorini (J. Comput. Phys., 2020)

A high-order discontinuous Galerkin method for nonlinear sound waves. - Paola F. Antonietti; Ilario Mazzieri; Markus Muhr; Vanja Nikolic; Barbara I. Wohlmuth (J. Comput. Phys., 2020)

An agglomeration-based massively parallel non-overlapping additive Schwarz preconditioner for high-order discontinuous Galerkin methods on polytopic grids. - Paola F. Antonietti; Paul Houston; Giorgio Pennesi; Endre Süli (Math. Comput., 2020)

Algebraic Multigrid Schemes for High-Order Nodal Discontinuous Galerkin Methods. - Paola F. Antonietti; Laura Melas (SIAM J. Sci. Comput., 2020)

SUIHTER: A new mathematical model for COVID-19. Application to the analysis of the second epidemic outbreak in Italy. - Nicola Parolini; Luca Dedè; Paola F. Antonietti; Giovanni Ardenghi; Andrea Manzoni; Edie Miglio; Andrea Pugliese 003; Marco Verani; Alfio Quarteroni (CoRR, 2021)

The conforming virtual element method for polyharmonic and elastodynamics problems: a review. - Paola Francesca Antonietti; Gianmarco Manzini; Ilario Mazzieri; Simone Scacchi; Marco Verani (CoRR, 2021)

Refinement of polygonal grids using Convolutional Neural Networks with applications to polygonal Discontinous Galerkin and Virtual Element methods. - Paola F. Antonietti; Enrico Manuzzi (CoRR, 2021)

A review on arbitrarily regular conforming virtual element methods for elliptic partial differential equations. - Paola Francesca Antonietti; Gianmarco Manzini; Simone Scacchi; Marco Verani (CoRR, 2021)

Accelerating Algebraic Multigrid Methods via Artificial Neural Networks. - Paola F. Antonietti; Matteo Caldana; Luca Dedè (CoRR, 2021)

On mathematical and numerical modelling of multiphysics wave propagation with polytopal Discontinuous Galerkin methods. - Paola F. Antonietti; Michele Botti; Ilario Mazzieri (CoRR, 2021)

On arbitrarily regular conforming virtual element methods for elliptic partial differential equations. - Paola Francesca Antonietti; Gianmarco Manzini; Simone Scacchi; Marco Verani (CoRR, 2021)

C1-VEM for some variants of the Cahn-Hilliard equation: a numerical exploration. - Paola F. Antonietti; Simone Scacchi; Giuseppe Vacca; Marco Verani (CoRR, 2021)

Preconditioning Techniques for the Numerical Solution of Flow in Fractured Porous Media. - Paola F. Antonietti; Jacopo De Ponti; Luca Formaggia; Anna Scotti (J. Sci. Comput., 2021)

Polytopic discontinuous Galerkin methods for the numerical modelling of flow in porous media with networks of intersecting fractures. - Paola F. Antonietti; Chiara Facciolà; Marco Verani (Comput. Math. Appl., 2022)

Virtual Element Method for the Navier-Stokes Equation coupled with the Heat Equation. - Paola Francesca Antonietti; Giuseppe Vacca; Marco Verani (CoRR, 2022)

Numerical Modelling of the Brain Poromechanics by High-Order Discontinuous Galerkin Methods. - Mattia Corti; Paola F. Antonietti; Luca Dede'; Alfio Maria Quarteroni (CoRR, 2022)

Machine learning based refinement strategies for polyhedral grids with applications to virtual element and polyhedral discontinuous Galerkin methods. - Paola F. Antonietti; Franco Dassi; Enrico Manuzzi (J. Comput. Phys., 2022)

Refinement of polygonal grids using Convolutional Neural Networks with applications to polygonal Discontinuous Galerkin and Virtual Element methods. - Paola F. Antonietti; Enrico Manuzzi (J. Comput. Phys., 2022)

Stability Analysis of Polytopic Discontinuous Galerkin Approximations of the Stokes Problem with Applications to Fluid-Structure Interaction Problems. - Paola F. Antonietti; Lorenzo Mascotto; Marco Verani; Stefano Zonca (J. Sci. Comput., 2022)

A High-Order Discontinuous Galerkin Method for the Poro-elasto-acoustic Problem on Polygonal and Polyhedral Grids. - Paola F. Antonietti; Michele Botti; Ilario Mazzieri; Nati Poltri Simone (SIAM J. Sci. Comput., 2022)

A segregated finite volume - spectral element method for aeroacoustic problems. - Alberto Artoni; Paola F. Antonietti; Ilario Mazzieri; Nicola Parolini; Daniele Rocchi (CoRR, 2023)

Discontinuous Galerkin Methods for Fisher-Kolmogorov Equation with Application to α-Synuclein Spreading in Parkinson's Disease. - Mattia Corti; Paola F. Antonietti; Francesca Bonizzoni; Luca Dede'; Alfio Quarteroni (CoRR, 2023)

Numerical modelling of wave propagation phenomena in thermo-poroelastic media via discontinuous Galerkin methods. - Stefano Bonetti; Michele Botti; Ilario Mazzieri; Paola F. Antonietti (CoRR, 2023)

AeroSPEED: a high order acoustic solver for aeroacoustic applications. - Alberto Artoni; Paola F. Antonietti; Roberto Corradi; Ilario Mazzieri; Nicola Parolini; Daniele Rocchi; Paolo Schito; Francesco F. Semeraro (CoRR, 2023)

A DG-VEM method for the dissipative wave equation. - Paola Francesca Antonietti; Francesca Bonizzoni; Marco Verani (CoRR, 2023)

Uncertainty Quantification for Fisher-Kolmogorov Equation on Graphs with Application to Patient-Specific Alzheimer Disease. - Mattia Corti; Francesca Bonizzoni; Paola F. Antonietti; Alfio Maria Quarteroni (CoRR, 2023)

A space-time discontinuous Galerkin method for coupled poroelasticity-elasticity problems. - Paola F. Antonietti; Michele Botti; Ilario Mazzieri (CoRR, 2023)

Discontinuous Galerkin for the heterodimer model of prion dynamics in Parkinson's disease. - Paola F. Antonietti; Francesca Bonizzoni; Mattia Corti; Agnese Dall'Olio (CoRR, 2023)

Robust discontinuous Galerkin-based scheme for the fully-coupled non-linear thermo-hydro-mechanical problem. - Stefano Bonetti; Michele Botti; Paola F. Antonietti (CoRR, 2023)

Spline Upwind for space-time Isogeometric Analysis of cardiac electrophysiology. - Paola F. Antonietti; Luca Dedè; Gabriele Loli; Giancarlo Sangalli; Paolo Tesini (CoRR, 2023)

Numerical modeling of wave propagation phenomena in thermo-poroelastic media via discontinuous Galerkin methods. - Stefano Bonetti; Michele Botti; Ilario Mazzieri; Paola F. Antonietti (J. Comput. Phys., 2023)

Agglomeration-Based Geometric Multigrid Schemes for the Virtual Element Method. - Paola F. Antonietti; Stefano Berrone; Martina Busetto; Marco Verani (SIAM J. Numer. Anal., 2023)

A discontinuous Galerkin time integration scheme for second order differential equations with applications to seismic wave propagation problems. - Paola F. Antonietti; Ilario Mazzieri; Francesco Migliorini (Comput. Math. Appl., 2023)

Lack of superstable trajectories in linear viscoelasticity: a numerical approach. - Paola F. Antonietti; Lorenzo Liverani; Vittorino Pata (Numerische Mathematik, 2023)

Discontinuous Galerkin Approximation of the Fully Coupled Thermo-poroelastic Problem. - Paola F. Antonietti; Stefano Bonetti; Michele Botti (SIAM J. Sci. Comput., 2023)

A cVEM-DG space-time method for the dissipative wave equation. - Paola F. Antonietti; Francesca Bonizzoni; Marco Verani (Comput. Math. Appl., 2023)

Iterative solution to the biharmonic equation in mixed form discretized by the Hybrid High-Order method. - Paola F. Antonietti; Pierre Matalon; Marco Verani (Comput. Math. Appl., 2024)

A deep learning algorithm to accelerate algebraic multigrid methods in finite element solvers of 3D elliptic PDEs. - Matteo Caldana; Paola F. Antonietti; Luca Dede' (Comput. Math. Appl., 2024)

Level set-fitted polytopal meshes with application to structural topology optimization. - Nicola Ferro 002; Stefano Micheletti; Nicola Parolini; Simona Perotto; Marco Verani; Paola Francesca Antonietti (Comput. Math. Appl., 2024)

A high-order discontinuous Galerkin method for the numerical modeling of epileptic seizures. - Caterina Beatrice Leimer Saglio; Stefano Pagani; Mattia Corti; Paola F. Antonietti (CoRR, 2024)

Numerical modelling of protein misfolding in neurodegenerative diseases: a computational study. - Paola F. Antonietti; Mattia Corti (CoRR, 2024)

A Virtual Element method for non-Newtonian fluid flows. - Paola F. Antonietti; L. Beirão da Veiga; Michele Botti; Giuseppe Vacca; Marco Verani (CoRR, 2024)

High-order Discontinuous Galerkin Methods for the Monodomain and Bidomain Models. - Federica Botta; Matteo Calafà; Pasquale Claudio Africa; Christian Vergara; Paola F. Antonietti (CoRR, 2024)

Polytopal mesh agglomeration via geometrical deep learning for three-dimensional heterogeneous domains. - Paola F. Antonietti; Mattia Corti; Gabriele Martinelli (CoRR, 2024)

A discontinuous Galerkin method for the three-dimensional heterodimer model with application to prion-like proteins' dynamics. - Paola F. Antonietti; Mattia Corti; Giacomo Lorenzon (CoRR, 2024)

A polytopal discontinuous Galerkin method for the pseudo-stress formulation of the unsteady Stokes problem. - Paola F. Antonietti; Michele Botti; Alessandra Cancrini; Ilario Mazzieri (CoRR, 2024)

A coupled mathematical and numerical model for protein spreading and tissue atrophy, applied to Alzheimer's disease. - Valentina Pederzoli; Mattia Corti; Davide Riccobelli; Paola F. Antonietti (CoRR, 2024)

Polytopal discontinuous Galerkin discretization of brain multiphysics flow dynamics. - Ivan Fumagalli; Mattia Corti; Nicola Parolini; Paola F. Antonietti (J. Comput. Phys., 2024)

Agglomeration of polygonal grids using graph neural networks with applications to multigrid solvers. - Paola F. Antonietti; Nicola Farenga; Enrico Manuzzi; Gabriele Martinelli; Luca Saverio (Comput. Math. Appl., 2024)

A hybrid finite volume - spectral element method for aeroacoustic problems. - Alberto Artoni; Paola F. Antonietti; Ilario Mazzieri; Nicola Parolini; Daniele Rocchi (Comput. Math. Appl., 2024)

Structure Preserving Polytopal Discontinuous Galerkin Methods for the Numerical Modeling of Neurodegenerative Diseases. - Mattia Corti; Francesca Bonizzoni; Paola F. Antonietti (J. Sci. Comput., 2024)

Discovering artificial viscosity models for discontinuous Galerkin approximation of conservation laws using physics-informed machine learning. - Matteo Caldana; Paola F. Antonietti; Luca Dede' (J. Comput. Phys., 2025)

lymph: Discontinuous Polytopal Methods for Multi-Physics Differential Problems. - Paola F. Antonietti; Stefano Bonetti; Michele Botti; Mattia Corti; Ivan Fumagalli; Ilario Mazzieri (ACM Trans. Math. Softw., 2025)

A structure-preserving LDG discretization of the Fisher-Kolmogorov equation for modeling neurodegenerative diseases. - Paola F. Antonietti; Mattia Corti; Sergio Gómez 001; Ilaria Perugia (CoRR, 2025)

A p-adaptive polytopal discontinuous Galerkin method for high-order approximation of brain electrophysiology. - Caterina Beatrice Leimer Saglio; Stefano Pagani; Paola F. Antonietti (CoRR, 2025)

MAGNET: an open-source library for mesh agglomeration by Graph Neural Networks. - Paola F. Antonietti; Matteo Caldana; Ilario Mazzieri; Andrea Re Fraschini (CoRR, 2025)

A review of discontinuous Galerkin time-stepping methods for wave propagation problems. - Paola F. Antonietti; Alberto Artoni; Gabriele Ciaramella; Ilario Mazzieri (CoRR, 2025)