34 citations · 269 across the 80 of their papers we have counts for
85 papers
A Neural-Network Approach for the Stability of Loosely-Coupled FSI Simulations in Hemodynamics
Francesca Renzi, Stefano Pagani, Paola F. Antonietti +1
The development of accurate and efficient computational methods for fluid-structure interaction (FSI) problems remains an active research area due to its broad engineering and biom…
A stability-preserving polytopal discontinuous Galerkin method for the Fisher-Kolmogorov model with applications to neurodegenerative disease modelling
Paola Francesca Antonietti, Francesca Bonizzoni, Mattia Corti +3
The Fisher--Kolmogorov equation models the spatio-temporal evolution of interacting biological species and is extensively employed in fields such as ecology, population dynamics, a…
The lymph 2.0 library: p-adaptive algorithms and parallel assembly strategies for polytopal DG methods
Paola F. Antonietti, Mattia Corti, Caterina B. Leimer Saglio +1
This work presents a new release of the lymph 2.0 library, an open-source MATLAB framework for high-order discontinuous Galerkin discretizations on general polytopal meshes. The ly…
Optimized high-order IMEX-RK schemes for degenerate diffusion-reaction problems with application to travelling waves phenomena
Paola F. Antonietti, Mattia Corti, Giuseppe Orlando
We study a class of IMplicit-EXplicit Runge--Kutta (IMEX-RK) schemes for the numerical approximation of reaction and diffusion-reaction problems arising in a variety of biological…
A Scalable Deflated Conjugate Gradient Solver for the Time-Dependent Pseudo-Stress Stokes Problem
Alessandra Cancrini, Gabriele Ciaramella, Paola F. Antonietti
We propose a novel iterative solution framework for the unsteady Stokes equations in the pseudo-stress formulation. When solving this class of problems by using implicit time-integ…
Polytopal Discontinuous Galerkin Discretizations of Coupled Non-Newtonian Stokes-Darcy Systems
Paola F. Antonietti, Michele Botti, Nicola Parolini +2
We propose and analyze a polytopal discontinuous Galerkin method for the numerical approximation of a coupled non-Newtonian Stokes-Darcy system modeling the interaction between a n…
Splitting strategies for the fully-coupled nonlinear thermo-hydro-mechanical problem
Stefano Bonetti, Michele Botti, Paola F. Antonietti
We propose novel semi-decoupled and fully-decoupled iterative algorithms for efficiently solving the fully-coupled nonlinear four-field thermo-poroelastic model discretized in spac…
High-fidelity and Network-based Spatio-temporal Mathematical Models of Alzheimer's Disease Progression and their Validation Against PET-SUVR Imaging Data
Beatrice Caon, Mattia Corti, Francesca Bonizzoni +1
Alzheimer's disease is the most common neurodegenerative disorder. Its pathological development is connected with the misfolding and accumulation of two toxic proteins: amyloid-bet…
A Multilevel Monte Carlo Virtual Element Method for Uncertainty Quantification of Elliptic Partial Differential Equations
Paola F. Antonietti, Francesca Bonizzoni, Ilaria Perugia +1
We introduce a Monte Carlo Virtual Element estimator based on Virtual Element discretizations for stochastic elliptic partial differential equations with random diffusion coefficie…
A hybrid reduced-order and high-fidelity discontinuous Galerkin Spectral Element framework for large-scale PMUT array simulations
Paola F. Antonietti, Omer M. O. Abdalla, Michelangelo G. Garroni +2
Piezoelectric Micromachined Ultrasonic Transducers (PMUTs) are essential for next-generation ultrasonic sensing and imaging due to their bidirectional electromechanical behavior, c…
Virtual Element methods for non-Newtonian shear-thickening fluid flow problems
Paola F. Antonietti, Lourenço Beirão da Veiga, Michele Botti +3
In this work, we present a comprehensive theoretical analysis for Virtual Element discretizations of incompressible non-Newtonian flows governed by the Carreau-Yasuda constitutive…
A whole-brain model of amyloid beta accumulation and cerebral hypoperfusion in Alzheimer's disease
Mattia Corti, Andrew Ahern, Alain Goriely +2
Accumulation of amyloid beta proteins is a defining feature of Alzheimer's disease, and is usually accompanied by cerebrovascular pathology. Evidence suggests that amyloid beta and…
A massively parallel non-overlapping Schwarz preconditioner for PolyDG methods in brain electrophysiology
Caterina B. Leimer Saglio, Stefano Pagani, Paola F. Antonietti
We investigate non-overlapping Schwarz preconditioners for the algebraic systems stemming from high-order discretizations of the coupled monodomain and Barreto-Cressman models, wit…
Numerical Verification of PolyDG Algebraic Solvers for the Pseudo-Stress Stokes Problem
Paola F. Antonietti, Alessandra Cancrini, Gabriele Ciaramella
This work focuses on the development of efficient solvers for the pseudo-stress formulation of the unsteady Stokes problem, discretised by means of a discontinuous Galerkin method…
A novel mathematical and computational framework of amyloid-beta triggered seizure dynamics in Alzheimer's disease
Caterina B. Leimer Saglio, Mattia Corti, Stefano Pagani +1
The association of epileptic activity and Alzheimer's disease (AD) has been increasingly reported in both clinical and experimental studies, suggesting that amyloid- accumulatio…
The Reduced Basis Multigrid scheme for the Virtual Element Method
Paola F. Antonietti, Silvia Bertoluzza, Fabio Credali
We present a non-nested W-cycle multigrid scheme for the lowest order Virtual Element Method on polygonal meshes. To avoid the implicit definition of the Virtual Element space, whi…
Structure-preserving local discontinuous Galerkin discretization of conformational conversion systems
Paola F. Antonietti, Mattia Corti, Sergio Gómez +1
We investigate a two-state conformational conversion system and introduce a novel structure-preserving numerical scheme that couples a local discontinuous Galerkin space discretiza…
Deep Learning Accelerated Algebraic Multigrid Methods for Polytopal Discretizations of Second-Order Differential Problems
Paola F. Antonietti, Matteo Caldana, Lorenzo Gentile +1
Algebraic Multigrid (AMG) methods are state-of-the-art algebraic solvers for partial differential equations. Still, their efficiency depends heavily on the choice of suitable param…
Mathematical and numerical modeling of coupled oxygen dynamics and neuronal electrophysiology
Francesco Daniele, Caterina B. Leimer Saglio, Stefano Pagani +1
Modeling and simulating how oxygen supply shapes neuronal excitability is crucial for advancing the understanding of brain function in pathological scenarios, such as ischemia. Thi…
Conforming and discontinuous discretizations of non-isothermal Darcy-Forchheimer flows
Stefano Bonetti, Michele Botti, Paola F. Antonietti
We present and analyze in a unified setting two schemes for the numerical discretization of a Darcy-Forchheimer fluid flow model coupled with an advection-diffusion equation modeli…
A review of discontinuous Galerkin time-stepping methods for wave propagation problems
Paola F. Antonietti, Alberto Artoni, Gabriele Ciaramella +1
This chapter reviews and compares discontinuous Galerkin time-stepping methods for the numerical approximation of second-order ordinary differential equations, particularly those s…
A p-adaptive polytopal discontinuous Galerkin method for high-order approximation of brain electrophysiology
Caterina Beatrice Leimer Saglio, Stefano Pagani, Paola F. Antonietti
Multiscale mathematical models have shown great promise in computational brain electrophysiology but are still hindered by high computational costs due to fast dynamics and complex…
MAGNET: an open-source library for mesh agglomeration by Graph Neural Networks
Paola F. Antonietti, Matteo Caldana, Ilario Mazzieri +1
We introduce MAGNET, an open-source Python library designed for mesh agglomeration in both two- and three-dimensions, based on employing Graph Neural Networks (GNN). MAGNET serves…
A structure-preserving LDG discretization of the Fisher-Kolmogorov equation for modeling neurodegenerative diseases
Paola F. Antonietti, Mattia Corti, Sergio Gómez +1
This work presents a structure-preserving, high-order, unconditionally stable numerical method for approximating the solution to the Fisher-Kolmogorov equation on polytopic meshes,…