Shape optimization in contact problems. Approximation and numerical realization
Haslinger, J. ; Neittaanmäki, P.
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 21 (1987), p. 269-291 / Harvested from Numdam
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Publié le : 1987-01-01
@article{M2AN_1987__21_2_269_0,
     author = {Haslinger, J. and Neittaanm\"aki, P.},
     title = {Shape optimization in contact problems. Approximation and numerical realization},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     volume = {21},
     year = {1987},
     pages = {269-291},
     mrnumber = {896244},
     zbl = {0616.73108},
     language = {en},
     url = {http://dml.mathdoc.fr/item/M2AN_1987__21_2_269_0}
}

Haslinger, J.; Neittaanmäki, P. Shape optimization in contact problems. Approximation and numerical realization. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 21 (1987) pp. 269-291. http://gdmltest.u-ga.fr/item/M2AN_1987__21_2_269_0/

[1] E. Atrek, R. H. Gallagher, K. M. Ragsdell and O. C. Zienkiewicz(eds.), New Directions in Optimum Structural Design, John Wüey and Sons, Chichester, 1984. | MR 1602135 | Zbl 0649.73039

[2] D. Begis and R. Glowinski, Application de la méthode des éléments finis à l'approximation d'un problème de domaine optimal, Appl. Math. Optim., 2 (1975) pp.130-169. | MR 443372 | Zbl 0323.90063

[3] P. G. Ciarlet, The Finite Element Method for Elliptic Problems, Amsterdam-New York-Oxford, North Holland, 1978, | MR 520174 | Zbl 0383.65058

[4] R. Correa and A. Seeger, Directional derivatives in minimax problems, Numer. Funct. Anal, and Optimiz. 7 (1984) pp.145-156. | MR 767379 | Zbl 0566.49005

[5] P. E. Gill, W. Murray and M. H. Wright, Practical Optimization, Academic Press, London, 1981. | MR 634376 | Zbl 0503.90062

[6] J. Haslinger, V. Horak and P. Neitaanmäki, Shape optimization in contact problem with friction 8 (1985/86), pp. 557-587. | MR 855444 | Zbl 0628.73123

[7] J. Haslinger and P. Neittaanmäki, Penalty method in design of system governed by mixed Dirichlet-Signorini boundary value problem, Ann.Fac. Sci. Toulouse, Vol. V (1983) pp.199-216. | Numdam | MR 747190 | Zbl 0547.49004

[8] J. Haslinger and P. Neittaanmäki, On optimal shape design of Systems governed by mixed Dirichlet-Signorini boundary value problem, Math. Meth. Appl. Sci. 8 (1985) pp. 157-181. | MR 845923 | Zbl 0603.49020

[9] J. Haslinger and P. Neittaanmäki, On the existence of optimal shapes in contact problems, Numer. Funct. Anal, and Optimiz., 7 (1984) pp.107-124. | MR 767377 | Zbl 0559.73099

[10] J. Haslinger and P. Neittaanmäki and T. Tiihonen, Shape optimization of an elastic body in contact based on penalization of the state, Apl. Mat.,31(1986), pp. 54-77. | MR 836802 | Zbl 0594.73109

[11] E. J. Haug and J. Cea (eds.), Optimization of Distributed Parameter Structures. Nato Advanced Study Institutes Series, Series E, Alphen aan den Rijn : Sijthoff and Noordhoff, 1981. | Zbl 0511.00034

[12] I. Halvacek, J. Haslinger, J. Necas and J. Lovisek, Numerical Solution of Variational Inequalities (in Slovak), ALFA, SNTL, 1982 English Translation (to appear).

[13] V. Komkov (éd.), Sensitivity of Functionals with Applications to Engineering Sciences, Lecture Notes in Mathematics 1086, Springer-Verlag, Berlin, 1984. | MR 791769 | Zbl 0539.00022

[14] P. Neittaanmäki and T. Tiihonen, Sensitivity analysis for a class of optimal shape design problems, University of Jyväskylä, Department of Mathematics, Report 29, 1985. | MR 793016

[15] J. A. Nitsche, On Korn's second inequality, R.A.I.R.O., Analyse numérique, 15 (1981) pp. 237-248. | Numdam | MR 631678 | Zbl 0467.35019

[16] O. Pironneau, Optimal Shape Design For Elliptic Systems, Springer Series in Comput. Physics, Springer-Verlag, New York, 1984. | MR 725856 | Zbl 0534.49001

[17] J. Sokolowski, Sensitivity analysis for a class of variational inequalities, in [11] pp. 1600-1609. | MR 691007 | Zbl 0516.73108

[18] J. Sokolowski and J. P. Zolesio, Shape sensitivity analysis for variational inequalities, Proceedings of l0th IFIP Conference, pp. 399-407, LN in Control and Information Sciences 38, Springer-Verlag, Berlin, 1982. | MR 1215733 | Zbl 0487.49004

[19] T. Tiihonen, Some remarks on solving numerically contact problems in elasticity, in Proc of the Summer School in Numerical Analysis at Jyväskylä (ed. P. Neittaanmäki), pp. 309-317, University of Jyväskylä, Dept. Math., Report 31, 1985. | Zbl 0586.73194

[20] J. P. Zolesio, The Material derivative (or speed) method for shape optimization, in [9] pp. 1089-1151. | MR 690991 | Zbl 0517.73097

[21] J. P. Zolesio, Shape controlability for free boundaries, in Proc. of 11th IFIP Conference on System Modelling and Control Theory (ed. P. Thoft-Christensen), LN in Control and Information Sciences 59, Springer-Verlag, Berlin, 1984. | MR 769684 | Zbl 0543.49016