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 | 51 | 2018 |
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 | 43 | 2020 |
Branching structures emerging from a continuous optimal transport model E Facca, F Cardin, M Putti Journal of Computational Physics 447, 110700, 2021 | 26 | 2021 |
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 | 23 | 2019 |
Fast iterative solution of the optimal transport problem on graphs E Facca, M Benzi SIAM Journal on Scientific Computing 43 (3), A2295-A2319, 2021 | 19 | 2021 |
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 | 15 | 2020 |
Physarum dynamics and optimal transport for basis pursuit E Facca, F Cardin, M Putti arXiv preprint arXiv:1812.11782, 2018 | 15 | 2018 |
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 | 10 | 2022 |
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 | 8 | 2023 |
Convergence of the non-uniform directed Physarum model E Facca, A Karrenbauer, P Kolev, K Mehlhorn Theoretical Computer Science 816, 184-194, 2020 | 6 | 2020 |
Biologically inspired formulation of Optimal Transport Problems E Facca Università degli studi di Padova, 2018 | 5 | 2018 |
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 | 4 | 2021 |
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 | 3 | 2022 |
Numerical Solution of the -Optimal Transport Problem on Surfaces L Berti, E Facca, M Putti arXiv preprint arXiv:2106.06479, 2021 | 3 | 2021 |
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 | 2 | 2024 |
Computing the L1 optimal transport density: a FEM approach F Piazzon, E Facca, M Putti arXiv preprint arXiv:2304.14047, 2023 | 2 | 2023 |
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 | 2 | 2022 |
Network Inpainting via Optimal Transport E Facca, JM Nordbotten, EA Hanson arXiv preprint arXiv:2405.13520, 2024 | | 2024 |