6 papers
Data-driven reduced order modeling of environmental hydrodynamics using deep autoencoders and neural ODEs
Sourav Dutta, Peter Rivera-Casillas, Orie M. Cecil +3
Model reduction for fluid flow simulation continues to be of great interest across a number of scientific and engineering fields. In a previous work [arXiv:2104.13962], we explored…
Arbitrary-order intrinsic virtual element method for elliptic equations on surfaces
Elena Bachini, Gianmarco Manzini, Mario Putti
We develop a geometrically intrinsic formulation of the arbitrary-order Virtual Element Method (VEM) on polygonal cells for the numerical solution of elliptic surface partial diffe…
Designing optimal networks for multi-commodity transport problem
Alessandro Lonardi, Enrico Facca, Mario Putti +1
Designing and optimizing different flows in networks is a relevant problem in many contexts. While a number of methods have been proposed in the physics and optimal transport liter…
Network extraction by routing optimization
Diego Baptista, Daniela Leite, Enrico Facca +2
Routing optimization is a relevant problem in many contexts. Solving directly this type of optimization problem is often computationally unfeasible. Recent studies suggest that one…
Physarum Dynamics and Optimal Transport for Basis Pursuit
Enrico Facca, Franco Cardin, Mario Putti
We study the connections between Physarum Dynamics and Dynamic Monge Kantorovich (DMK) Optimal Transport algorithms for the solution of Basis Pursuit problems. We show the equivale…
Branching structures emerging from a continuous optimal transport model
Enrico Facca, Franco Cardin, Mario Putti
Recently a Dynamic-Monge-Kantorovich formulation of the PDE-based -optimal transport problem was presented. The model considers a diffusion equation enforcing the balance of t…