Shape optimization solutions via Monge-Kantorovich equation;Solutions d'un problème d'optimisation de forme par la résolution d'une équation de Monge-Kantorovich

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 324, Issue 10, 1997, Pages 1185-1191

  Bouchitté, Guy ^b   Buttazzo, Giuseppe ^a   Seppecher, Pierre ^a  

^a UNIVERSITÉ DE TOULON   (France)

^b UNIVERSITY OF PISA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031138841     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(97)87909-8     Document Type: Article

References (7)

1. [1] Allaire G. and Kohn R. V., 1993. Optimal design for minimum weight and compliance in plane stress using extremal microstructures, European J. Mech. A Solids, 12(6), pp. 839-878.
2. [2] Bendsoe M., 1989. Optimal shape design as a material distribution problem, Struct. Optim., 1, pp. 193-202.
3. [3] Bouchitté G., Buttazzo G, and Seppecher P., 1997. Energies with respect to a measure and applications to low dimensional structures, Calc. Var., 5, pp. 37-54.
4. [4] Cea J. and Malanowski K., 1970. An example of a max-min problem in partial differential equations, SIAM J. Control, 8, pp. 305-316.
5. [5] Evans L. C. and Gangbo W., 1996. Differential equations methods for the Monge-Kantorovich mass transfer problem, preprint.
6. [6] Kohn R. V. and Strang G., 1986. Optimal design and relaxation of variational problems, I,II,III, Comm. Pure Appl. Math., 39, pp. 113-137, pp. 139-182, pp. 353-377.
7. [7] Murat F. and Tartar L., 1985. Optimality conditions and homogenization. Proceedings of "Nonlinear variational problems". Isola d'Elba 1983, Res. Notes in Math., 127, pp. 1-8.