Optimal transport, shape optimization and global minimization

Comptes Rendus Mathematique

Volumn 344, Issue 9, 2007, Pages 591-596

  Mohammadi, Bijan ^a  

^a UNIVERSITÉ DE MONTPELLIER   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34247850900     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2007.03.015     Document Type: Article

References (10)

1. Attouch H., and Cominetti R. A dynamical approach to convex minimization coupling approximation with the steepest descent method. J. Differential Equations (1996) 128-132
2. Brenier Y., and Benamou J.-D. A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem. Numer. Math. 84 3 (2000) 375-393
3. Carlier G., and Santambrogio F. A variational model for urban planning with traffic congestion. ESAIM Control Optim. Calc. Var. 11 (2005) 595-613
4. Dean E., and Glowinski R. Numerical solution of the two-dimensional elliptic Monge-Ampère equation with Dirichlet boundary conditions: an augmented Lagrangian approach. C. R. Acad. Sci. Paris, Ser. I 339 (2004) 887-892
5. Fortin M., and Glowinski R. Augmented Lagrangian Methods. Applications to the Numerical Solution of Boundary Value Problems. Studies in Mathematics and its Applications vol. 15 (1983), North-Holland
6. Ivorra B., Hertzog D., Mohammadi B., and Santiago J.F. Global optimization for the design of fast microfluidic protein folding devices. Int. J. Numer. Meth. Engrg. (2006) 26-36
7. Ivorra B., Mohammadi B., and Ramos A. Semi-deterministic global optimization method and application to the control of Burgers equation. JOTA 135 1 (2007)
8. Kantorovich L.V. On a problem of Monge. Uspekhi Mat. Nauk 3 (1948) 225-226
9. Loeper G., and Rapetti F. Numerical solution of the Monge-Ampère equation by a Newton's algorithm. C. R. Acad. Sci. Paris, Ser. I 340 (2005) 319-324
10. Vilani C. Topics in Optimal Transportation. Graduate Studies in Mathematics vol. 58 (2003), Amer. Math. Soc.