Nonsmooth optimal design problems for the Kirchhoff plate with unilateral conditions

Jan Sokołowski

Kybernetika (1993)

  • Volume: 29, Issue: 3, page 284-290
  • ISSN: 0023-5954

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Sokołowski, Jan. "Nonsmooth optimal design problems for the Kirchhoff plate with unilateral conditions." Kybernetika 29.3 (1993): 284-290. <http://eudml.org/doc/28254>.

@article{Sokołowski1993,
author = {Sokołowski, Jan},
journal = {Kybernetika},
keywords = {directional derivative; metric projection; Sobolev space; convex set; first order optimality conditions; obstacle},
language = {eng},
number = {3},
pages = {284-290},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Nonsmooth optimal design problems for the Kirchhoff plate with unilateral conditions},
url = {http://eudml.org/doc/28254},
volume = {29},
year = {1993},
}

TY - JOUR
AU - Sokołowski, Jan
TI - Nonsmooth optimal design problems for the Kirchhoff plate with unilateral conditions
JO - Kybernetika
PY - 1993
PB - Institute of Information Theory and Automation AS CR
VL - 29
IS - 3
SP - 284
EP - 290
LA - eng
KW - directional derivative; metric projection; Sobolev space; convex set; first order optimality conditions; obstacle
UR - http://eudml.org/doc/28254
ER -

References

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  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. (1977) Zbl0387.46022MR0481060
  6. E. J. Haug, J. Cea (eds.), Optimization of Distributed Parameter Structures, Sijthoff and Noordhoff, Alpen aan den Rijn, The Netherlands 1981. (1981) Zbl0511.00034
  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. (1985) MR0794174
  8. A. M. Khludnev, J. Sokolowski, [unknown], book in preparation. Zbl1067.74056
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  10. A. Myslinski, J. Sokolowski, Nondifferentiable optimization problems for elliptic systems, SIAM J. Control Optim. 23 (1985), 632-648. (1985) Zbl0571.49010MR0791892
  11. M. Rao, J. Sokolowski, Sensitivity analysis of Kirchhoff plate with obstacle, Rapport de Recherche No. 771 (1988), INRIA, Rocquencourt, France. (1988) 
  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. (1989) Zbl0702.49015MR0987982
  13. M. Rao, J. Sokolowski, Differential stability of solutions to parametric optimization problems, Math. Methods Appl. Sci. 14 (1991), 281-294. (1991) Zbl0749.90077MR1106167
  14. M. Rao, J. Sokolowski, Sensitivity analysis of unilateral problems in H 0 2 ( Ω ) and applications, Numer. Funct. Anal. Optim. 14 (1993), 1-2, 125-143. (1993) MR1210466
  15. M. Rao, J. Sokolowski, Sensitivity analysis of unilateral problems in H 0 2 ( Ω ) 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. (1993) 
  16. J. Sokolowski, Sensitivity analysis of control constrained optimal control problems for distributed parameter systems, SIAM J. Control Optim. 25 (1987), 1542-1556. (1987) Zbl0647.49019MR0912455
  17. J. Sokolowski, Shape sensitivity analysis of boundary optimal control problems for parabolic systems, SIAM J. Control Optim. 26 (1988), 763-787. (1988) Zbl0663.49012MR0948646
  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. (1992) Zbl0761.73003MR1215733

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