2 citations · 4 across the 10 of their papers we have counts for
17 papers
Free convection in fractured porous media: a numerical study
Arash Andrea Roknian, Anna Scotti, Alessio Fumagalli
The objective of this study is to better understand the influence of fractures on the possibility of free convection in porous media. To this aim, we introduce a mathematical model…
Numerical validation of an adaptive model for the determination of nonlinear-flow regions in highly heterogeneous porous media
Alessio Fumagalli, Francesco S. Patacchini
An adaptive model for the description of flows in highly heterogeneous porous media is developed in~\cite{FP21,FP23}. There, depending on the magnitude of the fluid's velocity, the…
Deep learning based reduced order modeling of Darcy flow systems with local mass conservation
Wietse M. Boon, Nicola R. Franco, Alessio Fumagalli +1
We propose a new reduced order modeling strategy for tackling parametrized Partial Differential Equations (PDEs) with linear constraints, in particular Darcy flow systems in which…
Mixed Virtual Element approximation of linear acoustic wave equation
Franco Dassi, Alessio Fumagalli, Ilario Mazzieri +1
We design a Mixed Virtual Element Method for the approximated solution to the first-order form of the acoustic wave equation. In absence of external load, the semi-discrete method…
A Reduced Basis Method for Darcy flow systems that ensures local mass conservation by using exact discrete complexes
Wietse M. Boon, Alessio Fumagalli
A solution technique is proposed for flows in porous media that guarantees local conservation of mass. We first compute a flux field to balance the mass source and then exploit exa…
A Virtual Element Method for the wave equation on curved edges in two dimensions
Franco Dassi, Alessio Fumagalli, Ilario Mazzieri +2
In this work we present an extension of the Virtual Element Method with curved edges for the numerical approximation of the second order wave equation in a bidimensional setting. C…