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08/21/2023
Iterative solution to the biharmonic equation in mixed form discretized by the Hybrid High-Order method
We consider the solution to the biharmonic equation in mixed form discre...
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08/01/2023
Structure Preserving Polytopal Discontinuous Galerkin Methods for the Numerical Modeling of Neurodegenerative Diseases
Many neurodegenerative diseases are connected to the spreading of misfol...
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06/01/2023
A space-time discontinuous Galerkin method for coupled poroelasticity-elasticity problems
This work is concerned with the analysis of a space-time finite element ...
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05/05/2023
Uncertainty Quantification for Fisher-Kolmogorov Equation on Graphs with Application to Patient-Specific Alzheimer Disease
The Fisher-Kolmogorov equation is a diffusion-reaction PDE that is used ...
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04/21/2023
A Deep Learning algorithm to accelerate Algebraic Multigrid methods in Finite Element solvers of 3D elliptic PDEs
Algebraic multigrid (AMG) methods are among the most efficient solvers f...
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03/18/2023
AeroSPEED: a high order acoustic solver for aeroacoustic applications
We propose AeroSPEED, a solver based on the Spectral Element Method (SEM...
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03/16/2023
Numerical modelling of wave propagation phenomena in thermo-poroelastic media via discontinuous Galerkin methods
We present and analyze a high-order discontinuous Galerkin method for th...
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02/14/2023
Discontinuous Galerkin Methods for Fisher-Kolmogorov Equation with Application to α-Synuclein Spreading in Parkinson's Disease
The spreading of prion proteins is at the basis of brain neurodegenerati...
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02/07/2023
A segregated finite volume - spectral element method for aeroacoustic problems
We propose a segregated Finite Volume (FV) - Spectral Element Method (SE...
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10/05/2022
Numerical Modelling of the Brain Poromechanics by High-Order Discontinuous Galerkin Methods
We introduce and analyze a discontinuous Galerkin method for the numeric...
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05/09/2022
Discontinuous Galerkin approximation of the fully-coupled thermo-poroelastic problem
We present and analyze a discontinuous Galerkin method for the numerical...
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12/31/2021
C^1-VEM for some variants of the Cahn-Hilliard equation: a numerical exploration
We consider the C^1-Virtual Element Method (VEM) for the conforming nume...
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12/03/2021
A discontinuous Galerkin time integration scheme for second order differential equations with applications to seismic wave propagation problems
In this work, we present a new high order Discontinuous Galerkin time in...
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11/03/2021
On mathematical and numerical modelling of multiphysics wave propagation with polytopal Discontinuous Galerkin methods
In this work we review discontinuous Galerkin finite element methods on ...
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11/02/2021
Accelerating Algebraic Multigrid Methods via Artificial Neural Networks
We present a novel Deep Learning-based algorithm to accelerate - through...
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01/09/2021
SUIHTER: A new mathematical model for COVID-19. Application to the analysis of the second epidemic outbreak in Italy
The COVID-19 epidemic is the last of a long list of pandemics that have ...
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12/03/2020
Stability analysis of polytopic Discontinuous Galerkin approximations of the Stokes problem with applications to fluid-structure interaction problems
We present a stability analysis of the Discontinuous Galerkin method on ...
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12/04/2019
A high-order discontinuous Galerkin method for nonlinear sound waves
We propose a high-order discontinuous Galerkin scheme for nonlinear acou...
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07/11/2019