Paola Francesca Antonietti

Full Professor in Numerical Analysis

Contact Information

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

Keywords

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

Publications

    

Available MOX Reports

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