Geodesic
Nonsmooth optimal design problems for the Kirchhoff plate with unilateral conditions
Kybernetika, Tome 29 (1993) no. 3, pp. 284-290

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
Classification : 49J40, 49K20, 49Q10, 73K10, 73k40, 74K20, 74P99 
Sokołowski, Jan. Nonsmooth optimal design problems for the Kirchhoff plate with unilateral conditions. Kybernetika, Tome 29 (1993) no. 3, pp. 284-290. http://geodesic.mathdoc.fr/item/KYB_1993_29_3_a7/
@article{KYB_1993_29_3_a7,
     author = {Soko{\l}owski, Jan},
     title = {Nonsmooth optimal design problems for the {Kirchhoff} plate with unilateral conditions},
     journal = {Kybernetika},
     pages = {284--290},
     year = {1993},
     volume = {29},
     number = {3},
     mrnumber = {1231873},
     zbl = {0789.73052},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_1993_29_3_a7/}
}
TY  - JOUR
AU  - Sokołowski, Jan
TI  - Nonsmooth optimal design problems for the Kirchhoff plate with unilateral conditions
JO  - Kybernetika
PY  - 1993
SP  - 284
EP  - 290
VL  - 29
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/KYB_1993_29_3_a7/
LA  - en
ID  - KYB_1993_29_3_a7
ER  - 
%0 Journal Article
%A Sokołowski, Jan
%T Nonsmooth optimal design problems for the Kirchhoff plate with unilateral conditions
%J Kybernetika
%D 1993
%P 284-290
%V 29
%N 3
%U http://geodesic.mathdoc.fr/item/KYB_1993_29_3_a7/
%G en
%F KYB_1993_29_3_a7

[1] M. P. Bendsøe N. Olhoff, J. Sokolowski: Sensitivity analysis of problems of elasticity with unilateral constraints. J. Struct. Mech. 13 (1985), 201-222. | MR

[2] M. P. Bendsøe, J. Sokolowski: Design sensitivity analysis of elastic-plastic analysis problem. Mech. Structures Mach. 16(1988), 81-102. | MR

[3] M. P. Bendsøe, J. Sokolowski: Sensitivity analysis and optimal design of elastic plates with unilateral point supports. Mech. Structures Mach. 15 (1987), 383-393. | MR

[4] G. Duvaut, J. L. Lions: Inequalities in Mechanics and Physics. (Grundlehren der mathematischen Wissenschaften 219.) Springer-Verlag, Berlin 1976. | MR | Zbl

[5] A. Haraux: How to differentiate the projection on a convex set in Hilbert space. Some applications to variational inequalities. J. Math. Soc. Japan 29 (1977), 615-631. | MR | Zbl

[6] E. J. Haug, J. Cea (eds.): Optimization of Distributed Parameter Structures. Sijthoff and Noordhoff, Alpen aan den Rijn, The Netherlands 1981. | Zbl

[7] I. Hlaváček I. Bock, J. Lovíšek: Optimal control of a variational inequality with applications to structural analysis. Part III. Optimal design of an elastic plate. Appl. Math. Optim. IS (1985), 117-136. | MR

[8] A. M. Khludnev, J. Sokolowski: book in preparation. | Zbl

[9] F. Mignot: Controle dans les inequations variationelles elliptiques. J. Funct. Anal. 22 (1976), 25-39. | MR | Zbl

[10] A. Myslinski, J. Sokolowski: Nondifferentiable optimization problems for elliptic systems. SIAM J. Control Optim. 23 (1985), 632-648. | MR | Zbl

[11] M. Rao, J. Sokolowski: Sensitivity analysis of Kirchhoff plate with obstacle. Rapport de Recherche No. 771 (1988), INRIA, Rocquencourt, France.

[12] M. Rao, J. Sokolowski: Shape sensitivity analysis of state constrained optimal control problems for distributed parameter systems. (Lecture Notes in Control and Information Sciences 114.) Springer-Verlag, Berlin 1989, pp. 236-245. | MR | Zbl

[13] M. Rao, J. Sokolowski: Differential stability of solutions to parametric optimization problems. Math. Methods Appl. Sci. 14 (1991), 281-294. | MR | Zbl

[14] M. Rao, J. Sokolowski: Sensitivity analysis of unilateral problems in $H_0^2(\Omega)$ and applications. Numer. Funct. Anal. Optim. 14 (1993), 1-2, 125-143. | MR

[15] M. Rao, J. Sokolowski: Sensitivity analysis of unilateral problems in $H_0^2(\Omega)$ and applications. In: Emerging Applications in Free Boundary Problems (J.M. Chadam and II. Rasmussen, eds., Pitman Research Notes Math. Ser., No. 280), Longman 1993.

[16] J. Sokolowski: Sensitivity analysis of control constrained optimal control problems for distributed parameter systems. SIAM J. Control Optim. 25 (1987), 1542-1556. | MR | Zbl

[17] J. Sokolowski: Shape sensitivity analysis of boundary optimal control problems for parabolic systems. SIAM J. Control Optim. 26 (1988), 763-787. | MR | Zbl

[18] J. Sokolowski: Sensitivity analysis of shape estimation problems. In the volume dedicated to Jean Cea, to appear in special issue of Mechanics of Structures and Machines.

[19] J. Sokolowski, J. P. Zolesio: Introduction to Shape Optimization. Shape sensitivity analysis. (Springer Series in Computational Mathematics 16.) Springer-Verlag, New York 1992. | MR | Zbl