no. 3-4
Penalty method in design optimization of systems governed by a unilateral boundary value problem
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 5, Tome 5 (1983) no. 3-4, pp. 199-216 
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     author = {Haslinger, Jaroslav and Neittaanm\"aki, Pekka},
     title = {Penalty method in design optimization of systems governed by a unilateral boundary value problem},
     journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
     pages = {199--216},
     year = {1983},
     publisher = {Universit\'e Paul Sabatier},
     address = {Toulouse},
     volume = {Ser. 5, 5},
     number = {3-4},
     mrnumber = {747190},
     zbl = {0547.49004},
     language = {en},
     url = {https://www.numdam.org/item/AFST_1983_5_5_3-4_199_0/}
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Haslinger, Jaroslav; Neittaanmäki, Pekka. Penalty method in design optimization of systems governed by a unilateral boundary value problem. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 5, Tome 5 (1983) no. 3-4, pp. 199-216. https://www.numdam.org/item/AFST_1983_5_5_3-4_199_0/

[1] 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, 130-169. | Zbl | MR

[2] G. Duvaut and J.L. Lions. «Inequalities in mechanics and physics». Grundlehren der mathematischen Wissenschaften 219. Springer-Verlag, Berlin, 1976. | Zbl | MR

[3] R. Glowinski, J.L. Lions and R. Tremolieres. «Numerical analysis of variational inequalities». Studies in Mathematics and its Applications 8. North-Holland, Amsterdam, 1981. | Zbl | MR

[4] J. Haslinger and P. Neittaanmäki. «On optimal shape design of sytems governed by mixed Dirichlet-Signorini boundary value problems». University of Jyväskylä, Dept. Math. preprint 22, 1983. | Zbl

[5] E.J. Haug and J.S. Arora. «Applied optimal design, mechanical and structural systems». Wiley-Interscience Publication, New-York, 1979.

[6] E.J. Haug and J. Cea (ed.). «Optimization of distributed parameter structures». Nato Advances Study Institutes Series, Series E, n° 49, Sijthoff & Noordhoff, Alphen aan den Rijn, 1981. | Zbl

[7] I. Hlavacek and J. Nečas. «Optimization of the domain in elliptic unilateral boundary value problems by finite element method». R.A.I.R.O., Num. Anal. 16, 1982, 351-373. | Numdam | Zbl | MR | EuDML

[8] D. Kinderlehrer and G. Stampacchia. «An introduction to variational inequalities and their applications». Pure and Applied Mathematics 88, Academic Press, New-York, 1980. | Zbl | MR

[9] J.L. Lions. «Quelques méthodes de résolution des problèmes aux limites non linéaires». Dunod, Gauthier-Villars, Paris, 1969. | Zbl | MR

[10] J.L. Lions. «Optimal control of systems governed by partial differential equations». Grundlehren der mathematischen Wissenschaften 170. Springer-Verlag, Berlin, 1971. | Zbl | MR

[11] F. Mignot. «Contrôle dans les inéquations variationnelles elliptiques». J. Funct. Anal. 22, 1976, 130-185. | Zbl | MR

[12] P.D. Panagiotopoulos. «Optimal control in the unilateral thin plate theory, Arch. Mech. Stos. 29, 1977, 25-39. | Zbl | MR

[13] O. Pironneau. «Optimal shape design for elliptic systems». Lecture Notes in Comp. Physics, Springer Verlag, New-York, 1983. | Zbl | MR

[14] O. Pironneau and C. Saguez. «Asymptotic behaviour of the solutions of partial differential equations with respect to the domain». IRIA Laboria, rapport n° 218, 1977. | MR

[15] J.P. Zolesio. «The material derivative (or speed) method for shape optimization». I n [6], pp. 1089-1151. | Zbl | MR