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math.NA2023★ 2 cited
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…
math.NA2023
A mixed-dimensional model for direct current simulations in presence of a thin high-resistivity liner
Alessio Fumagalli, Lorenzo Panzeri, Luca Formaggia +2
In this work we present a mixed-dimensional mathematical model to obtain the electric potential and current density in direct current simulations when a thin liner is included in t…