43 citations · 199 across the 17 of their papers we have counts for
18 papers
Computing the L1 optimal transport density: a FEM approach
Federico Piazzon, Enrico Facca, Mario Putti
The optimal transport density is the unique solution of the Monge-Kantorovich equations. It has been recently characterized also as the unique minimizer of t…
A geometrically intrinsic Lagrangian-Eulerian scheme for 2D Shallow Water Equations with variable topography and discontinuous data
Eduardo Abreu, Elena Bachini, John Perez +1
We present a Lagrangian-Eulerian scheme to solve the shallow water equations in the case of spatially variable bottom geometry. Using a local curvilinear reference system anchored…
Convergence analysis of the intrinsic surface finite element method
Elena Bachini, Mario Putti
The Intrinsic Surface Finite Element Method (ISFEM) was recently proposed to solve Partial Differential Equations (PDEs) on surfaces. ISFEM proceeds by writing the PDE with respect…
Nodal domain count for the generalized graph -Laplacian
Piero Deidda, Mario Putti, Francesco Tudisco
Inspired by the linear Schrödinger operator, we consider a generalized -Laplacian operator on discrete graphs and present new results that characterize several spectral properti…
Infrastructure adaptation and emergence of loops in network routing with time-dependent loads
Alessandro Lonardi, Enrico Facca, Mario Putti +1
Network routing approaches are widely used to study the evolution in time of self-adapting systems. However, few advances have been made for problems where adaptation is governed b…
Multicommodity routing optimization for engineering networks
Alessandro Lonardi, Mario Putti, Caterina De Bacco
Optimizing passengers routes is crucial to design efficient transportation networks. Recent results show that optimal transport provides an efficient alternative to standard optimi…
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…
Numerical Solution of the -Optimal Transport Problem on Surfaces
Luca Berti, Enrico Facca, Mario Putti
In this article we study the numerical solution of the -Optimal Transport Problem on 2D surfaces embedded in , via the DMK formulation introduced in [FaccaCardinPutti:201…
Computing the Cut Locus of a Riemannian Manifold via Optimal Transport
Enrico Facca, Luca Berti, Francesco Fassó +1
In this paper, we give a new characterization of the cut locus of a point on a compact Riemannian manifold as the zero set of the optimal transport density solution of the Monge-Ka…
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…
A greedy non-intrusive reduced order model for shallow water equations
Sourav Dutta, Matthew W. Farthing, Emma Perracchione +2
In this work, we develop Non-Intrusive Reduced Order Models (NIROMs) that combine Proper Orthogonal Decomposition (POD) with a Radial Basis Function (RBF) interpolation method to c…
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…
Modeling Shallow Water Flows on General Terrains
Ilaria Fent, Mario Putti, Carlo Gregoretti +1
A formulation of the shallow water equations adapted to general complex terrains is proposed. Its derivation starts from the observation that the typical approach of depth integrat…
Numerical Solution of Monge-Kantorovich Equations via a dynamic formulation
Enrico Facca, Sara Daneri, Franco Cardin +1
We propose a biologically inspired dynamic model for the numerical solution of the -PDE based optimal transportation model.
Towards a stationary Monge-Kantorovich dynamics: the Physarum Polycephalum experience
Enrico Facca, Franco Cardin, Mario Putti
In this work we study and expand a model describing the dynamics of a unicellular slime mold, Physarum Polycephalum (PP), which was proposed to simulate the ability of PP to find t…