activity
20132026
most citedSUIHTER: A new mathematical model for COVID-19. Application to the analysis of the second epidemic outbreak in Italy

34 citations · 269 across the 80 of their papers we have counts for

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Showing 2026Show all

12 papers · 1 filter

math.NA2026

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…

math.NA2026

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…

math.NA2026

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…

math.NA2026

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…

math.NA2026

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…

math.NA2026

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…

math.NA2026

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…

math.NA2026

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…

math.NA2026

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…

math.NA2026

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…

math.NA2026

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…

math.NA2026

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…