1 citations · 2 across the 6 of their papers we have counts for
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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…
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…
Tensor-product vertex patch smoothers for biharmonic problems
Julius Witte, Cu Cui, Francesca Bonizzoni +1
We discuss vertex patch smoothers as overlapping domain decomposition methods for fourth order elliptic partial differential equations. We show that they are numerically very effic…
A reduced basis super-localized orthogonal decomposition for reaction-convection-diffusion problems
Francesca Bonizzoni, Moritz Hauck, Daniel Peterseim
This paper presents a method for the numerical treatment of reaction-convection-diffusion problems with parameter-dependent coefficients that are arbitrary rough and possibly varyi…
Uncertainty quantification in timber-like beams using sparse grids: theory and examples with off-the-shelf software utilization
Balduzzi Giuseppe, Bonizzoni Francesca, Tamellini Lorenzo
When dealing with timber structures, the characteristic strength and stiffness of the material are made highly variable and uncertain by the unavoidable, yet hardly predictable, pr…