A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem JD Benamou, Y Brenier Numerische Mathematik 84 (3), 375-393, 2000 | 1962 | 2000 |
Iterative Bregman projections for regularized transportation problems JD Benamou, G Carlier, M Cuturi, L Nenna, G Peyré SIAM Journal on Scientific Computing 37 (2), A1111-A1138, 2015 | 896 | 2015 |
A domain decomposition method for the Helmholtz equation and related optimal control problems JD Benamou, B Desprès Journal of Computational Physics 136 (1), 68-82, 1997 | 315 | 1997 |
Numerical solution of the optimal transportation problem using the Monge–Ampère equation JD Benamou, BD Froese, AM Oberman Journal of Computational Physics 260, 107-126, 2014 | 268 | 2014 |
Augmented Lagrangian methods for transport optimization, mean field games and degenerate elliptic equations JD Benamou, G Carlier Journal of Optimization Theory and Applications 167, 1-26, 2015 | 183 | 2015 |
Two numerical methods for the elliptic Monge-Ampere equation JD Benamou, BD Froese, AM Oberman ESAIM: Mathematical Modelling and Numerical Analysis 44 (4), 737-758, 2010 | 164 | 2010 |
Weak existence for the semigeostrophic equations formulated as a coupled Monge--Ampère/transport problem JD Benamou, Y Brenier SIAM Journal on Applied Mathematics 58 (5), 1450-1461, 1998 | 156 | 1998 |
Variational mean field games JD Benamou, G Carlier, F Santambrogio Active Particles, Volume 1: Advances in Theory, Models, and Applications …, 2017 | 153 | 2017 |
Big ray tracing: Multivalued travel time field computation using viscosity solutions of the eikonal equation JD Benamou | 134 | 1995 |
Numerical resolution of an “unbalanced” mass transport problem JD Benamou ESAIM: Mathematical Modelling and Numerical Analysis 37 (5), 851-868, 2003 | 130 | 2003 |
A numerical method for the optimal time-continuous mass transport problem and related problems JD Benamou, Y Brenier Contemporary mathematics 226, 1-12, 1999 | 127 | 1999 |
Direct Computation of Multi Valued Phase-Space Solutions for Hamilton-Jacobi Equations JD Benamou | 93 | 1998 |
An augmented Lagrangian approach to Wasserstein gradient flows and applications JD Benamou, G Carlier, M Laborde ESAIM: Proceedings and surveys 54, 1-17, 2016 | 92 | 2016 |
The Monge–Kantorovitch mass transfer and its computational fluid mechanics formulation JD Benamou, Y Brenier, K Guittet International Journal for Numerical methods in fluids 40 (1‐2), 21-30, 2002 | 92 | 2002 |
Discretization of functionals involving the Monge–Ampère operator JD Benamou, G Carlier, Q Mérigot, E Oudet Numerische mathematik 134 (3), 611-636, 2016 | 82 | 2016 |
Monotone and consistent discretization of the Monge-Ampère operator JD Benamou, F Collino, JM Mirebeau Mathematics of computation 85 (302), 2743-2775, 2016 | 74 | 2016 |
High frequency limit of the Helmholtz equations JD Benamou, F Castella, T Katsaounis, B Perthame Revista matemática iberoamericana 18 (1), 187-209, 2002 | 74 | 2002 |
Generalized incompressible flows, multi-marginal transport and Sinkhorn algorithm JD Benamou, G Carlier, L Nenna Numerische Mathematik 142, 33-54, 2019 | 69 | 2019 |
A domain decomposition method with coupled transmission conditions for the optimal control of systems governed by elliptic partial differential equations JD Benamou SIAM journal on numerical analysis 33 (6), 2401-2416, 1996 | 68 | 1996 |
An introduction to Eulerian geometrical optics (1992–2002) JD Benamou Journal of scientific computing 19 (1), 63-93, 2003 | 63 | 2003 |