34 citations · 269 across the 80 of their papers we have counts for
12 papers · 1 filter
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,…