Adriano Festa
Research
Bibliometrics
Publications
Numerical techniques for Optimal control Problems and Hamilton-Jacobi equations
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1 - E. Carlini, A. Festa, N. Forcadel "A semi-Lagrangian scheme for Hamilton-Jacobi equations on networks with application to traffic flow models". ArXiv (2018) :: pdf
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2 - J.F. Bonnans and A. Festa. "Error estimates for the Euler discretization of an optimal control problem with a first-order state constraint". SIAM J. Numer. Anal., 55(2) (2017) 445-471 :: pdf
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3 - A. Festa and M. Falcone. "An Approximation Scheme for an Eikonal Equation with Discontinuous Coefficient", SIAM J. Numer. Anal., 52(1) (2014): 236-257 :: pdf
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4 - F. Camilli, A. Festa, and D. Schieborn. "An approximation scheme for a Hamilton-Jacobi equation defined on a network." Appl. Num. Math. 73 (2013): 33-47. :: pdf
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5 - A. Festa and M. Falcone, "L1 convergence of a SL scheme for the eikonal equation with discontinuous coefficient" Proceedings of Hyp2012 - the 14th International Conference on Hyperbolic Problems, Padova, Italy, American Institute of Mathematical Sciences. :: pdf
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6 - A. Festa, R. Guglielmi, C. Hermosilla, A. Picarelli, S. Sahu, A. Sassi, F. Silva, "Hamilton-Jacobi-Bellman equations" (128 pp.) in "Optimal Control: Novel Directions and Applications", M. S. Aronna, D. Kalise, D. Tonon Eds., Lectures notes, Springer, 2017 :: pdf :: link
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7 - A. Festa, "Analysis and Approximation of Hamilton-Jacobi equations on irregular data", PhD Thesis, pubblished by LAP LAMBERT Academic Publishing, Saarbruchen, Germany :: pdf
High Performances Computing and Fast methods for PDE
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1 - A. Festa. "A domain decomposition based parallel version of the Howard's Algorithm". Math. Comput. Simul. 147, 121--139 (2018) :: pdf
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2 - A. Festa. "Reconstuction of Independent Sub-Domains for a class of Hamilton Jacobi Equations and Application to Parallel Computing", ESAIM:M2AN 50(4) (2016): 1223-1240 :: pdf
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3 - A. Festa, "Domain Decomposition based Parallel Howard's Algorithm", Proceedings of the The 21st International Symposium on Mathematical Theory of Networks and Systems (2014) :: pdf
Differential and Mean Field Games
- 1 - A. Festa, S. Goettlich. "A Mean Field Games approach for multi-lane traffic management", ArXiv. (2017) :: pdf
- 2 - A. Festa, R.B. Vinter. "Decomposition of differential games with multiple targets", J. Optim. Theory Appl. 169(3) (2016): 848-875. :: pdf
- 3 - A. Festa, D. Gomes, R.Velho. "An Adjoint-based Numerical Method for a class of nonlinear Fokker-Planck Equations", Indam Series, Springer (2017) :: pdf
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4 - A. Festa and R.B. Vinter "A decomposition technique for pursuit evasion games with many pursuers" 52nd IEEE Control and Decision Conference (CDC) (2013) :: pdf
Crowd Motion, Multi-agents systems and other applications.
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1 - R. Ferretti, A. Festa. "A Hybrid control approach to the route planning problem for sailing boats". J. Optim. Theory and Appl. (2019). :: pdf
- 2 - A. Festa, M. Pfirsching, S. Goettlich. "A model for a network of conveyor belts with discontinuous speed and capacity", Net. Het. Med. 14(2), 389--410, (2019). :: pdf
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3 - A. Festa, A. Tosin, M.-T. Wolfram. "Kinetic description of collision avoidance in pedestrian crowds by sidestepping ". Kin. Relat. Mod., 11(3) 491--520, (2018) :: pdf
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4 - E. Carlini, A. Festa, F.J. Silva, M-T. Wolfram. "Semi-Lagrangian scheme for a modified version of the Hughes model for pedestrian flow". Dyn. Games Appl. (2016): 1-23 :: pdf
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5 - F. Camilli, A. Festa, S. Tozza. "A discrete Hughes' model for pedestrian flow on graphs". Netw. Heterog. Media 12(1) (2017): 93-112 :: pdf
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6 - E. Carlini, A. Festa, F. Silva, "The Hughes model for pedestrian dynamics and congestion modelling". IFAC-PapersOnLine. 50 (1), pp. 1655-1660. :: pdf
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7 - A. Festa, M-T. Wolfram. "Collision avoidance in pedestrian dynamics", 54th IEEE Control and Decision Conference (CDC) (2015) :: pdf
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8 - E. Carlini, M. Falcone, A. Festa "A brief survey on semi-Lagrangian schemes for Image Processing Chapter of Innovations for Shape Analysis": book chapter in
Models and Algorithms Series: Mathematics and Visualization, Breuss, Bruckstein, Maragos, Petros
(Eds.) 2013, XXIII, 494 p. 228 :: pdf