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Towards a Stationary Monge--Kantorovich Dynamics: The Physarum Polycephalum Experience
E Facca, F Cardin, M Putti
SIAM Journal on Applied Mathematics 78 (2), 651-676, 2018
512018
Numerical solution of Monge–Kantorovich equations via a dynamic formulation
E Facca, S Daneri, F Cardin, M Putti
Journal of Scientific Computing 82 (3), 68, 2020
432020
Branching structures emerging from a continuous optimal transport model
E Facca, F Cardin, M Putti
Journal of Computational Physics 447, 110700, 2021
262021
Spectral preconditioners for the efficient numerical solution of a continuous branched transport model
L Bergamaschi, E Facca, A Martínez, M Putti
Journal of Computational and Applied Mathematics 354, 259-270, 2019
232019
Fast iterative solution of the optimal transport problem on graphs
E Facca, M Benzi
SIAM Journal on Scientific Computing 43 (3), A2295-A2319, 2021
192021
Designing optimal networks for multicommodity transport problem
A Lonardi, E Facca, M Putti, C De Bacco
Physical Review Research 3 (4), 043010, 2021
17*2021
Network extraction by routing optimization
D Baptista, D Leite, E Facca, M Putti, C De Bacco
Scientific reports 10 (1), 20806, 2020
152020
Physarum dynamics and optimal transport for basis pursuit
E Facca, F Cardin, M Putti
arXiv preprint arXiv:1812.11782, 2018
152018
Physarum-inspired multi-commodity flow dynamics
V Bonifaci, E Facca, F Folz, A Karrenbauer, P Kolev, K Mehlhorn, G Morigi, ...
Theoretical Computer Science 920, 1-20, 2022
14*2022
Transport Energy
E Facca, F Piazzon, M Putti
Applied Mathematics & Optimization 86 (2), 21, 2022
102022
Infrastructure adaptation and emergence of loops in network routing with time-dependent loads
A Lonardi, E Facca, M Putti, C De Bacco
Physical Review E 107 (2), 024302, 2023
82023
Convergence of the non-uniform directed Physarum model
E Facca, A Karrenbauer, P Kolev, K Mehlhorn
Theoretical Computer Science 816, 184-194, 2020
62020
Biologically inspired formulation of Optimal Transport Problems
E Facca
Università degli studi di Padova, 2018
52018
Combining models of root-zone hydrology and geoelectrical measurements: recent advances and future prospects
B Mary, L Peruzzo, V Iván, E Facca, G Manoli, M Putti, M Camporese, ...
Frontiers in Water 3, 767910, 2021
42021
Computing the cut locus of a Riemannian manifold via optimal transport
E Facca, L Berti, F Fassò, M Putti
ESAIM: Mathematical Modelling and Numerical Analysis 56 (6), 1939-1954, 2022
32022
Numerical Solution of the -Optimal Transport Problem on Surfaces
L Berti, E Facca, M Putti
arXiv preprint arXiv:2106.06479, 2021
32021
Efficient preconditioners for solving dynamical optimal transport via interior point methods
E Facca, G Todeschi, A Natale, M Benzi
SIAM Journal on Scientific Computing 46 (3), A1397-A1422, 2024
22024
Computing the L1 optimal transport density: a FEM approach
F Piazzon, E Facca, M Putti
arXiv preprint arXiv:2304.14047, 2023
22023
Community detection in networks by dynamical optimal transport formulation
D Leite, D Baptista, AA Ibrahim, E Facca, C De Bacco
Scientific Reports 12 (1), 16811, 2022
22022
Network Inpainting via Optimal Transport
E Facca, JM Nordbotten, EA Hanson
arXiv preprint arXiv:2405.13520, 2024
2024
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