From the 1 of 27 linked papers with an AI index.
27 papers
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…
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
The paper introduces a computational framework that combines model order reduction with a discontinuous Galerkin spectral element method to efficiently simulate large arrays of pie…
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…
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…
Discontinuous Galerkin discretization of coupled poroelasticity-elasticity problems
Paola F. Antonietti, Michele Botti, Ilario Mazzieri
This work is concerned with the analysis of a space-time finite element discontinuous Galerkin method on polytopal meshes (XT-PolydG) for the numerical discretization of wave propa…
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…