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math.NA2026
Model reduction of parametric ordinary differential equations via autoencoders: representation properties and convergence analysis
Enrico Ballini, Marco Gambarini, Alessio Fumagalli +3
We propose a reduced-order modeling approach for nonlinear, parameter-dependent ordinary differential equations (ODE). Dimensionality reduction is achieved using nonlinear maps rep…
math.NA2024
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…
math.NA2024
A hybrid upwind scheme for two-phase flow in fractured porous media
Enrico Ballini, Luca Formaggia, Alessio Fumagalli +2
Simulating the flow of two fluid phases in porous media is a challenging task, especially when fractures are included in the simulation. Fractures may have highly heterogeneous pro…