34 citations · 269 across the 80 of their papers we have counts for
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Robust discontinuous Galerkin-based scheme for the fully-coupled non-linear thermo-hydro-mechanical problem
Stefano Bonetti, Michele Botti, Paola F. Antonietti
We present and analyze a discontinuous Galerkin method for the numerical modeling of the non-linear fully-coupled thermo-hydro-mechanic problem. We propose a high-order symmetric w…
Polytopal discontinuous Galerkin discretization of brain multiphysics flow dynamics
Ivan Fumagalli, Mattia Corti, Nicola Parolini +1
A comprehensive mathematical model of the multiphysics flow of blood and Cerebrospinal Fluid (CSF) in the brain can be expressed as the coupling of a poromechanics system and Stoke…
Level set-fitted polytopal meshes with application to structural topology optimization
Nicola Ferro, Stefano Micheletti, Nicola Parolini +3
We propose a method to modify a polygonal mesh in order to fit the zero-isoline of a level set function by extending a standard body-fitted strategy to a tessellation with arbitrar…
Space--time Isogeometric Analysis of cardiac electrophysiology
P. F. Antonietti, L. Dedè, G. Loli +3
This work proposes a stabilized space--time method for the monodomain equation coupled with the Rogers--McCulloch ionic model, which is widely used to simulate electrophysiological…
Discontinuous Galerkin approximations of the heterodimer model for protein-protein interaction
Paola F. Antonietti, Francesca Bonizzoni, Mattia Corti +1
Mathematical models of protein-protein dynamics, such as the heterodimer model, play a crucial role in understanding many physical phenomena. This model is a system of two semiline…
Iterative solution to the biharmonic equation in mixed form discretized by the Hybrid High-Order method
Paola F. Antonietti, Pierre Matalon, Marco Verani
We consider the solution to the biharmonic equation in mixed form discretized by the Hybrid High-Order (HHO) methods. The two resulting second-order elliptic problems can be decoup…
Structure Preserving Polytopal Discontinuous Galerkin Methods for the Numerical Modeling of Neurodegenerative Diseases
Mattia Corti, Francesca Bonizzoni, Paola F. Antonietti
Many neurodegenerative diseases are connected to the spreading of misfolded prionic proteins. In this paper, we analyse the process of misfolding and spreading of both -synuclei…
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…
Uncertainty Quantification for Fisher-Kolmogorov Equation on Graphs with Application to Patient-Specific Alzheimer Disease
Mattia Corti, Francesca Bonizzoni, Paola F. Antonietti +1
The Fisher-Kolmogorov equation is a diffusion-reaction PDE that is used to model the accumulation of prionic proteins, which are responsible for many different neurological disorde…
A Deep Learning algorithm to accelerate Algebraic Multigrid methods in Finite Element solvers of 3D elliptic PDEs
Matteo Caldana, Paola F. Antonietti, Luca Dede'
Algebraic multigrid (AMG) methods are among the most efficient solvers for linear systems of equations and they are widely used for the solution of problems stemming from the discr…
AeroSPEED: a high order acoustic solver for aeroacoustic applications
Alberto Artoni, Paola F. Antonietti, Roberto Corradi +5
We propose AeroSPEED, a solver based on the Spectral Element Method (SEM) that solves the aeroacoustic Lighthill's wave equation. First, the fluid solution is computed employing a…
Numerical modelling of wave propagation phenomena in thermo-poroelastic media via discontinuous Galerkin methods
Stefano Bonetti, Michele Botti, Ilario Mazzieri +1
We present and analyze a high-order discontinuous Galerkin method for the space discretization of the wave propagation model in thermo-poroelastic media. The proposed scheme suppor…
A DG-VEM method for the dissipative wave equation
Paola Francesca Antonietti, Francesca Bonizzoni, Marco Verani
A novel space-time discretization for the (linear) scalar-valued dissipative wave equation is presented. It is a structured approach, namely, the discretization space is obtained t…
Discontinuous Galerkin Methods for Fisher-Kolmogorov Equation with Application to -Synuclein Spreading in Parkinson's Disease
Mattia Corti, Francesca Bonizzoni, Luca Dede' +2
This spreading of prion proteins is at the basis of brain neurodegeneration. This paper deals with the numerical modelling of the misfolding process of -synuclein in Parkinson's…
A hybrid finite volume -- spectral element method for aeroacoustic problems
Alberto Artoni, Paola F. Antonietti, Ilario Mazzieri +2
We propose a hybrid Finite Volume (FV) - Spectral Element Method (SEM) for modelling aeroacoustic phenomena based on the Lighthill's acoustic analogy. First the fluid solution is c…