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20212024
most citedPolytopal discontinuous Galerkin discretization of brain multiphysics flow dynamics

1 citations · 1 across the 8 of their papers we have counts for

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8 papers

math.NA2024

Design of a checkerboard counterflow heat exchanger for industrial applications

N. Parolini, V. Covello, A. della Rocca +1

This work is devoted to the design of a checkerboard air-gas heat exchanger suitable for industrial applications. The design of the heat exchanger is optimized in order to obtain t…

math.NA2024

A posteriori error analysis for a coupled Stokes-poroelastic system with multiple compartments

Ivan Fumagalli, Nicola Parolini, Marco Verani

The discretization of fluid-poromechanics systems is typically highly demanding in terms of computational effort. This is particularly true for models of multiphysics flows in the…

math.NA2024

Learning epidemic trajectories through Kernel Operator Learning: from modelling to optimal control

Giovanni Ziarelli, Nicola Parolini, Marco Verani

Since infectious pathogens start spreading into a susceptible population, mathematical models can provide policy makers with reliable forecasts and scenario analyses, which can be…

math.NA2024

Structure-preserving neural networks in data-driven rheological models

Nicola Parolini, Andrea Poiatti, Julian Vene' +1

In this paper we address the importance and the impact of employing structure preserving neural networks as surrogate of the analytical physics-based models typically employed to d…

math.NA20231 cited

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…

cs.CE2023

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…