| Title:
|
Nonsmooth optimal design problems for the Kirchhoff plate with unilateral conditions (English) |
| Author:
|
Sokołowski, Jan |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
29 |
| Issue:
|
3 |
| Year:
|
1993 |
| Pages:
|
284-290 |
| . |
| Category:
|
math |
| . |
| MSC:
|
49J40 |
| MSC:
|
49K20 |
| MSC:
|
49Q10 |
| MSC:
|
73K10 |
| MSC:
|
73k40 |
| MSC:
|
74K20 |
| MSC:
|
74P99 |
| idZBL:
|
Zbl 0789.73052 |
| idMR:
|
MR1231873 |
| . |
| Date available:
|
2009-09-24T18:40:46Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125099 |
| . |
| Reference:
|
[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 0802916 |
| Reference:
|
[2] M. P. Bendsøe, J. Sokolowski: Design sensitivity analysis of elastic-plastic analysis problem.Mech. Structures Mach. 16(1988), 81-102. MR 0968603 |
| Reference:
|
[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 0957853 |
| Reference:
|
[4] G. Duvaut, J. L. Lions: Inequalities in Mechanics and Physics.(Grundlehren der mathematischen Wissenschaften 219.) Springer-Verlag, Berlin 1976. Zbl 0331.35002, MR 0521262 |
| Reference:
|
[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. Zbl 0387.46022, MR 0481060 |
| Reference:
|
[6] E. J. Haug, J. Cea (eds.): Optimization of Distributed Parameter Structures.Sijthoff and Noordhoff, Alpen aan den Rijn, The Netherlands 1981. Zbl 0511.00034 |
| Reference:
|
[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 0794174 |
| Reference:
|
[8] A. M. Khludnev, J. Sokolowski: .book in preparation. Zbl 1067.74056 |
| Reference:
|
[9] F. Mignot: Controle dans les inequations variationelles elliptiques.J. Funct. Anal. 22 (1976), 25-39. Zbl 0364.49003, MR 0423155 |
| Reference:
|
[10] A. Myslinski, J. Sokolowski: Nondifferentiable optimization problems for elliptic systems.SIAM J. Control Optim. 23 (1985), 632-648. Zbl 0571.49010, MR 0791892 |
| Reference:
|
[11] M. Rao, J. Sokolowski: Sensitivity analysis of Kirchhoff plate with obstacle.Rapport de Recherche No. 771 (1988), INRIA, Rocquencourt, France. |
| Reference:
|
[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. Zbl 0702.49015, MR 0987982 |
| Reference:
|
[13] M. Rao, J. Sokolowski: Differential stability of solutions to parametric optimization problems.Math. Methods Appl. Sci. 14 (1991), 281-294. Zbl 0749.90077, MR 1106167 |
| Reference:
|
[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 1210466 |
| Reference:
|
[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. |
| Reference:
|
[16] J. Sokolowski: Sensitivity analysis of control constrained optimal control problems for distributed parameter systems.SIAM J. Control Optim. 25 (1987), 1542-1556. Zbl 0647.49019, MR 0912455 |
| Reference:
|
[17] J. Sokolowski: Shape sensitivity analysis of boundary optimal control problems for parabolic systems.SIAM J. Control Optim. 26 (1988), 763-787. Zbl 0663.49012, MR 0948646 |
| Reference:
|
[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. |
| Reference:
|
[19] J. Sokolowski, J. P. Zolesio: Introduction to Shape Optimization. Shape sensitivity analysis.(Springer Series in Computational Mathematics 16.) Springer-Verlag, New York 1992. Zbl 0761.73003, MR 1215733 |
| . |
