Paola Francesca Antonietti

Full Professor
Head of MOX Laboratory

Contact Information

Phone:
+39 02 2399 4601
Fax:
+39 02 2399 4606
Office:
Ed. 14 - Nave
Email:
Personal web page:

Keywords

Computational learning
High Performance Computing
Advanced Numerical Methods for Scientific Computing
Geosciences/Protection of Land and Water Resources
Living Systems and Precision Medicine
SC4I/Digitization, Innovation, and Competitiveness of the Production System

Publications

    

Available MOX Reports

ANTONIETTI, P.F.; BOTTI, M.; CANCRINI, A.; MAZZIERI, I.
A polytopal discontinuous Galerkin method for the pseudo-stress formulation of the unsteady Stokes problem
ANTONIETTI, P.F.; CORTI, M.; LORENZON, G.
A discontinuous Galerkin method for the three-dimensional heterodimer model with application to prion-like proteins’ dynamics
ANTONIETTI, P.F.; CORTI, M., MARTINELLI, G.
Polytopal mesh agglomeration via geometrical deep learning for three-dimensional heterogeneous domains
ANTONIETTI, P.F.; BEIRAO DA VEIGA, L.; BOTTI, M.; VACCA, G.; VERANI, M.
A Virtual Element method for non-Newtonian fluid flows
CALDANA, M.; ANTONIETTI P. F.; DEDE' L.
Discovering Artificial Viscosity Models for Discontinuous Galerkin Approximation of Conservation Laws using Physics-Informed Machine Learning
ANTONIETTI, P.F.; CORTI, M.
Numerical modelling of protein misfolding in neurodegenerative diseases: a computational study
LEIMER SAGLIO, C. B.: PAGANI, S.; CORTI, M.; ANTONIETTI, P. F.
A high-order discontinuous Galerkin method for the numerical modeling of epileptic seizures
ANTONIETTI, P.F., BONETTI, S., BOTTI, M., CORTI, M., FUMAGALLI, I., MAZZIERI, I.
lymph: discontinuous poLYtopal methods for Multi-PHysics differential problems
BONETTI, S.; BOTTI, M.; ANTONIETTI, P.F.
Robust discontinuous Galerkin-based scheme for the fully-coupled non-linear thermo-hydro-mechanical problem
ANTONIETTI, P.F.; BONIZZONI, F.; CORTI, M.; DALL'OLIO, A.
Discontinuous Galerkin for the heterodimer model of prion dynamics in Parkinson's disease
FUMAGALLI, I.; CORTI, M.; PAROLINI, N.; ANTONIETTI, P. F.
Polytopal discontinuous Galerkin discretization of brain multiphysics flow dynamics
FERRO, N.; MICHELETTI, S.; PAROLINI, N.; PEROTTO, S.; VERANI, M.; ANTONIETTI, P. F.
Level set-fitted polytopal meshes with application to structural topology optimization
ANTONIETTI, P. F.; MATALON, P.; VERANI M.
Iterative solution to the biharmonic equation in mixed form discretized by the Hybrid High-Order method
CORTI, M.; BONIZZONI, F.; ANTONIETTI, P.F.
Structure Preserving Polytopal Discontinuous Galerkin Methods for the Numerical Modeling of Neurodegenerative Diseases
ANTONIETTI, P.F.; BOTTI, M.; MAZZIERI, I.
A space-time discontinuous Galerkin method for coupled poroelasticity-elasticity problems
CORTI M.; BONIZZONI, F.; ANTONIETTI, P.F.; QUARTERONI, A.M.
Uncertainty Quantification for Fisher-Kolmogorov Equation on Graphs with Application to Patient-Specific Alzheimer Disease
CALDANA, M.; ANTONIETTI, P. F.; DEDE', L.
A Deep Learning algorithm to accelerate Algebraic Multigrid methods in Finite Element solvers of 3D elliptic PDEs
ANTONIETTI, P. F.; BONIZZONI, F.; VERANI, M.
A DG-VEM method for the dissipative wave equation
ARTONI, A.; ANTONIETTI, P.F.; CORRADI, R.; MAZZIERI, I.; PAROLINI, N.; ROCCHI, D.; SCHITO P.; SEMERARO, F.F.;
AeroSPEED: a high order acoustic solver for aeroacoustic applications
BONETTI, S.; BOTTI, M.; MAZZIERI, I.; ANTONIETTI, P.F.
Numerical modelling of wave propagation phenomena in thermo-poroelastic media via discontinuous Galerkin methods
CORTI, M.; ANTONIETTI, P.F.; BONIZZONI, F.; DEDE', L., QUARTERONI, A.
Discontinuous Galerkin Methods for Fisher-Kolmogorov Equation with Application to Alpha-Synuclein Spreading in Parkinson’s Disease
ARTONI, A.; ANTONIETTI, P. F.; MAZZIERI, I.; PAROLINI, N.; ROCCHI, D.
A segregated finite volume - spectral element method for aeroacoustic problems
ANTONIETTI, P. F.; FARENGA, N.; MANUZZI, E.; MARTINELLI, G.; SAVERIO, L.
Agglomeration of Polygonal Grids using Graph Neural Networks with applications to Multigrid solvers
CORTI, M.; ANTONIETTI, P.F.; DEDE', L.; QUARTERONI, A.
Numerical Modelling of the Brain Poromechanics by High-Order Discontinuous Galerkin Methods
ANTONIETTI, P.F.; LIVERANI, L.; PATA, V.
Lack of superstable trajectories in linear viscoelasticity: A numerical approach
ANTONIETTI, P.F; CAUZZI, C.; MAZZIERI, I.; MELAS L.; STUPAZZINI, M.
Numerical simulation of the Athens 1999 earthquake including simplified models of the Acropolis and the Parthenon: initial results and outlook
ANTONIETTI, P.F.; VACCA, G.; VERANI, M.
Virtual Element method for the Navier-Stokes equation coupled with the heat equation
BONETTI S.; BOTTI M.; ANTONIETTI P.F.
Discontinuous Galerkin approximation of the fully-coupled thermo-poroelastic problem
ANTONIETTI, P.F.; DASSI, F.; MANUZZI, E.
Machine Learning based refinement strategies for polyhedral grids with applications to Virtual Element and polyhedral Discontinuous Galerkin methods
ANTONIETTI, P.F.; SCACCHI, S.; VACCA, G.; VERANI, M.
$C^1$-VEM for some variants of the Cahn-Hilliard equation: a numerical exploration
ANTONIETTI, P.F.; BERRONE, S.; BUSETTO, M.; VERANI, M.
Agglomeration-based geometric multigrid schemes for the Virtual Element Method
ANTONIETTI, P.F.; MANZINI, G.; SCACCHI, S.; VERANI, M.
On arbitrarily regular conforming virtual element methods for elliptic partial differential equations
ANTONIETTI, P.F.; CALDANA, M.; DEDE', L.
Accelerating Algebraic Multigrid Methods via Artificial Neural Networks
ANTONIETTI, P.F.; BOTTI, M.; MAZZIERI, I.
On mathematical and numerical modelling of multiphysics wave propagation with polygonal Discontinuous Galerkin methods
PAROLINI, N.; DEDE', L; ANTONIETTI, P. F.; ARDENGHI, G.; MANZONI, A.; MIGLIO, E.; PUGLIESE, A.; VERANI, M.; QUARTERONI, A.
SUIHTER: A new mathematical model for COVID-19. Application to the analysis of the second epidemic outbreak in Italy
ANTONIETTI,P.F.; MANZINI, G.; MAZZIERI, I.; SCACCHI, S.; VERANI, M.
The conforming virtual element method for polyharmonic and elastodynamics problems: a review
DI MICHELE, F.; MAY, J.; PERA, D.; KASTELIC, V.; CARAFA, M.; SMERZINI, C.; MAZZIERI, I.; RUBINO, B.; ANTONIETTI, P.F.; QUARTERONI, A.; ALOISIO, R.; MARCATI, P.
Spectral elements numerical simulation of the 2009 L’Aquila earthquake on a detailed reconstructed domain
ANTONIETTI, P. F.; MANUZZI, E.
Refinement of polygonal grids using Convolutional Neural Networks with applications to polygonal Discontinous Galerkin and Virtual Element methods
ANTONIETTI, P.F.; MAZZIERI, I.; MIGLIORINI, F.
A discontinuous Galerkin time integration scheme for second order differential equations with applications to seismic wave propagation problems
ANTONIETTI, P. F.; MASCOTTO, L.; VERANI, M.; ZONCA, S.
Stability analysis of polytopic Discontinuous Galerkin approximations of the Stokes problem with applications to fluid-structure interaction problems
ANTONIETTI, P.F.; BOTTI, M.; MAZZIERI, I.; NATI POLTRI, S.
A high-order discontinuous Galerkin method for the poro-elasto-acoustic problem on polygonal and polyhedral grids
ZONCA, S.; ANTONIETTI, P.F.; VERGARA, C.
A Polygonal Discontinuous Galerkin formulation for contact mechanics in fluid-structure interaction problems
ANTONIETTI, P.F.; FACCIOLA', C.; HOUSTON, P.; MAZZIERI, I.; PENNES, G.; VERANI, M.
High-order discontinuous Galerkin methods on polyhedral grids for geophysical applications: seismic wave propagation and fractured reservoir simulations
ANTONIETTI, P. F.; FACCIOLà, C.; VERANI, M.
Polytopic Discontinuous Galerkin methods for the numerical modelling of flow in porous media with networks of intersecting fractures
ANTONIETTI, P.F; MANZINI, G.; MOURAD, H.M.; VERANI, M.
The virtual element method for linear elastodynamics models. Design, analysis, and implementation
ANTONIETTI, P.F.; BERTOLUZZA, S.; PRADA, D.; VERANI M.
The Virtual Element Method for a Minimal Surface Problem
ANTONIETTI, P.F.; BERRONE, S.; BORIO A.; D'AURIA A.; VERANI, M.; WEISSER, S.
Anisotropic a posteriori error estimate for the Virtual Element Method
ANTONIETTI, P.F.; MAZZIERI, I.; MIGLIORINI, F.
A space-time discontinuous Galerkin method for the elastic wave equation
ANTONIETTI, P. F.; MAZZIERI, I.; MELAS, L.; PAOLUCCI, R.; QUARTERONI, A.; SMERZINI, C.; STUPAZZINI, M.
Three-dimensional physics-based earthquake ground motion simulations for seismic risk assessment in densely populated urban areas
ANTONIETTI, P. F.; BONALDI, F.; MAZZIERI, I.
Simulation of 3D elasto-acoustic wave propagation based on a Discontinuous Galerkin Spectral Element method
ANTONIETTI,P.F.; DE PONTI, J.; FORMAGGIA, L.; SCOTTI, A.
Preconditioning techniques for the numerical solution of flow in fractured porous media
ANTONIETTI, P.F.; HOUSTON, P.; PENNESI, G.; SULI, E.
An agglomeration-based massively parallel non-overlapping additive Schwarz preconditioner for high-order discontinuous Galerkin methods on polytopic grids
ANTONIETTI, P.F.; FACCIOLà, C; VERANI, M.
Mixed-primal Discontinuous Galerkin approximation of flows in fractured porous media on polygonal and polyhedral grids
ANTONIETTI, P.F.; FACCIOLA', C.; VERANI, M.
Unified analysis of Discontinuous Galerkin approximations of flows in fractured porous media on polygonal and polyhedral grids
ANTONIETTI, P.F.; MANZINI, G.; VERANI, M.
The conforming virtual element method for polyharmonic problems
ANTONIETTI, P.F.; MELAS, L.
Algebraic multigrid schemes for high-order discontinuous Galerkin methods
ANTONIETTI, P.F.; VERANI, M.; VERGARA, C.; ZONCA, S.
Numerical solution of fluid-structure interaction problems by means of a high order Discontinuous Galerkin method on polygonal grids
ANTONIETTI, P.F.; BONALDI, F.; MAZZIERI, I.
A high-order discontinuous Galerkin approach to the elasto-acoustic problem
ANTONIETTI, P.F.; MAZZIERI, I.
High-order Discontinuous Galerkin methods for the elastodynamics equation on polygonal and polyhedral meshes
ANTONIETTI, P. F.; HOUSTON, P.; PENNESI, G.
Fast numerical integration on polytopic meshes with applications to discontinuous Galerkin finite element methods
ANTONIETTI, P. F.,; PENNESI, G.
V-cycle multigrid algorithms for discontinuous Galerkin methods on non-nested polytopic meshes
ANTONIETTI, P.F.; MASCOTTO, L.; VERANI, M.
A multigrid algorithm for the $p$--version of the Virtual Element Method
ANTONIETTI, P.F.; FERRONI, A.; MAZZIERI, I.; PAOLUCCI, R.; QUARTERONI, A.; SMERZINI, C.; STUPAZZINI, M.
Numerical modeling of seismic waves by Discontinuous Spectral Element methods
ANTONIETTI, P. F.; BRUGGI, M. ; SCACCHI, S.; VERANI, M.
On the Virtual Element Method for Topology Optimization on polygonal meshes: a numerical study
ANTONIETTI, P. F.; FACCIOLA' C.; RUSSO A.; VERANI M.;
Discontinuous Galerkin approximation of flows in fractured porous media on polytopic grids
ANTONIETTI, P. F.; MANZINI, G.; VERANI, M.
The fully nonconforming Virtual Element method for biharmonic problems
ANTONIETTI, P. F.; FERRONI, A.; MAZZIERI, I.; QUARTERONI, A.
hp-version discontinuous Galerkin approximations of the elastodynamics equation
ANTONIETTI, P.F.; MERLET, B.; MORGAN, P.; VERANI, M.
Convergence to equilibrium for a second-order time semi-discretization of the Cahn-Hilliard equation
ANTONIETTI, P.F.; DAL SANTO, N.; MAZZIERI, I.; QUARTERONI, A.
A high-order discontinuous Galerkin approximation to ordinary differential equations with applications to elastodynamics
ANTONIETTI, P.F.; FACCIOLA', C.; RUSSO, A.;VERANI, M.
Discontinuous Galerkin approximation of flows in fractured porous media
FERRONI, A.; ANTONIETTI, P.F.; MAZZIERI, I.; QUARTERONI, A.
Dispersion-dissipation analysis of 3D continuous and discontinuous spectral element methods for the elastodynamics equation
AGOSTI, A.; ANTONIETTI, P.F.; CIARLETTA, P.; GRASSELLI, M.; VERANI, M.
A Cahn-Hilliard type equation with degenerate mobility and single-well potential. Part I: convergence analysis of a continuous Galerkin finite element discretization.
ANTONIETTI, P.F.; HOUSTON, P.; SMEARS, I.
A note on optimal spectral bounds for nonoverlapping domain decomposition preconditioners for hp-Version Discontinuous Galerkin methods
ANTONIETTI, P.F.; CANGIANI, A.; COLLIS, J.; DONG, Z.; GEORGOULIS, E.H.; GIANI, S.; HOUSTON, P.
Review of Discontinuous Galerkin Finite Element Methods for Partial Differential Equations on Complicated Domains
ANTONIETTI, P.F.; FORMAGGIA, L.; SCOTTI, A.; VERANI, M.; VERZOTTI, N.
Mimetic finite difference approximation of flows in fractured porous media
ANTONIETTI, P. F.; BEIRAO DA VEIGA, L.; SCACCHI, S.; VERANI, M.
A $C^1$ virtual element method for the Cahn-Hilliard equation with polygonal meshes
ANTONIETTI, P. F.; MARCATI, C.; MAZZIERI, I.; QUARTERONI, A.
High order discontinuous Galerkin methods on simplicial elements for the elastodynamics equation
ANTONIETTI, P. F.; GRASSELLI, M.; STANGALINO, S.; VERANI, M.
Discontinuous Galerkin approximation of linear parabolic problems with dynamic boundary conditions
ANTONIETTI, P. F.; HOUSTON P.; SARTI, M.; VERANI, M.
Multigrid algorithms for hp-version Interior Penalty Discontinuous Galerkin methods on polygonal and polyhedral meshes
ANTONIETTI, P. F.; SARTI, M.; VERANI, M.; ZIKATANOV, L. T.
A uniform additive Schwarz preconditioner for the hp-version of Discontinuous Galerkin approximations of elliptic problems
ANTONIETTI, P.F.; MAZZIERI, I.; QUARTERONI, A.
Improving seismic risk protection through mathematical modeling
ANTONIETTI, P.F.; PACCIARINI, P.; QUARTERONI, A.
A discontinuous Galerkin Reduced Basis Element method for elliptic problems
ANTONIETTI, P; PANFILI, P.; SCOTTI, A.; TURCONI, L. ; VERANI, M.; COMINELLI,A.; FORMAGGIA,L.
Optimal techniques to simulate flow in fractured reservoirs
ANTONIETTI, P.F.; DEDNER, A.; MADHAVAN, P.; STANGALINO, S.; STINNER, B.; VERANI, M.
High order discontinuous Galerkin methods on surfaces
ANTONIETTI, P.F.; SARTI, M.; VERANI, M.
Multigrid algorithms for high order discontinuous Galerkin methods
ANTONIETTI, P.F.; SARTI, M.; VERANI, M.
Multigrid algorithms for hp-Discontinuous Galerkin discretizations of elliptic problems
ANTONIETTI, P.F.; PERUGIA, I.; ZALIANI, D.
Schwarz domain decomposition preconditioners for plane wave discontinuous Galerkin methods
ANTONIETTI, P.F.; AYUSO DE DIOS, B.; MAZZIERI, I.; QUARTERONI, A.
Stability analysis for Discontinuous Galerkin approximations of the elastodynamics problem
ANTONIETTI, P.F.; VERANI, M.; ZIKATANOV, L.
A two-level method for Mimetic Finite Difference discretizations of elliptic problems
TAVAKOLI, A.; ANTONIETTI, P.F.; VERANI, M.
Automatic computation of the impermeability of woven fabrics through image processing
ANTONIETTI, P.F.; GIANI, S.; HOUSTON, P.
Domain Decomposition Preconditioners for Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains
ANTONIETTI, P.F.; BEIRAO DA VEIGA, L.; BIGONI, N.; VERANI, M.
Mimetic finite differences for nonlinear and control problems
ANTONIETTI, P.F.; BEIRAO DA VEIGA, L.; MORA, D.; VERANI, M.
A stream virtual element formulation of the Stokes problem on polygonal meshes
ANTONIETTI, P.F.; AYUSO DE DIOS, B.; BERTOLUZZA, S.; PENNACCHIO, M.
Substructuring preconditioners for an $h-p$ Nitsche-type method
ANTONIETTI, P.F.; BIGONI, N.; VERANI, M.
Mimetic finite difference approximation of quasilinear elliptic problems
ANTONIETTI, P.F.; GIANI, S.; HOUSTON, P.
hp–Version Composite Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains
ANTONIETTI, P.F.; BORZì, A.; VERANI, M.
Multigrid shape optimization governed by elliptic PDEs
ANTONIETTI, P.F.; QUARTERONI, A.
Numerical performance of discontinuous and stabilized continuous Galerkin methods or convection-diffusion problems
ANTONIETTI, P.F.; AYUSO DE DIOS, B.; BRENNER, S.C.; SUNG, L.-Y.
Schwarz methods for a preconditioned WOPSIP method for elliptic problems
ANTONIETTI, P.F.; BEIRAO DA VEIGA, L.; LOVADINA, C.; VERANI, M.
Hierarchical a posteriori error estimators for the mimetic discretization of elliptic problems
ANTONIETTI, P.F.; BIGONI, N.; VERANI, M.
A Mimetic Discretization of Elliptic Control Problems
ANTONIETTI, P.F.; HOUSTON, P.
Preconditioning high--order Discontinuous Galerkin discretizations of elliptic problems
ANTONIETTI, P.F.; MAZZIERI, I.; QUARTERONI, A.; RAPETTI, F.
Non-Conforming High Order Approximations for the Elastic Wave Equation
ANTONIETTI, P.F.; FADEL, N.A.; VERANI, M.
Modelling and numerical simulation of the polymeric extrusion process in textile products
ANTONIETTI, PAOLA F. ; BEIRAO DA VEIGA, LOURENCO; VERANI, MARCO
A Mimetic Discretization of Elliptic Obstacle Problems
ANTONIETTI, PAOLA F.; HOUSTON, PAUL
A Class of Domain Decomposition Preconditioners for hp-Discontinuous Galerkin Finite Element Methods
ANTONIETTI, PAOLA F.; BISCARI, PAOLO; TAVAKOLI, ALALEH; VERANI, MARCO; VIANELLO, MAURIZIO
Theoretical study and numerical simulation of textiles
ANTONIETTI, PAOLA F.; PRATELLI, ALDO
Finite Element Approximation of the Sobolev Constant
ANTONIETTI, PAOLA F.; HOUSTON, PAUL
An hr-adaptive discontinuous Galerkin method for advection-diffusion problems
ANTONIETTI, PAOLA; SULI, ENDRE
Domain Decomposition Preconditioning for Discontinuous Galerkin Approximation of Convection-Diffusion Problems