Penalty method in design optimization of systems governed by a unilateral boundary value problem

Jaroslav Haslinger; Pekka Neittaanmäki

Annales de la Faculté des sciences de Toulouse : Mathématiques (1983)

  • Volume: 5, Issue: 3-4, page 199-216
  • ISSN: 0240-2963

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Haslinger, Jaroslav, and 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 5.3-4 (1983): 199-216. <http://eudml.org/doc/73149>.

@article{Haslinger1983,
author = {Haslinger, Jaroslav, Neittaanmäki, Pekka},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {penalization; optimal design},
language = {eng},
number = {3-4},
pages = {199-216},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Penalty method in design optimization of systems governed by a unilateral boundary value problem},
url = {http://eudml.org/doc/73149},
volume = {5},
year = {1983},
}

TY - JOUR
AU - Haslinger, Jaroslav
AU - Neittaanmäki, Pekka
TI - Penalty method in design optimization of systems governed by a unilateral boundary value problem
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1983
PB - UNIVERSITE PAUL SABATIER
VL - 5
IS - 3-4
SP - 199
EP - 216
LA - eng
KW - penalization; optimal design
UR - http://eudml.org/doc/73149
ER -

References

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  2. [2] G. Duvaut and J.L. Lions. «Inequalities in mechanics and physics». Grundlehren der mathematischen Wissenschaften219. Springer-Verlag, Berlin, 1976. Zbl0331.35002MR521262
  3. [3] R. Glowinski, J.L. Lions and R. Tremolieres. «Numerical analysis of variational inequalities». Studies in Mathematics and its Applications8. North-Holland, Amsterdam, 1981. Zbl0463.65046MR635927
  4. [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. Zbl0603.49020
  5. [5] E.J. Haug and J.S. Arora. «Applied optimal design, mechanical and structural systems». Wiley-Interscience Publication, New-York, 1979. 
  6. [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. Zbl0511.00034
  7. [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. Zbl0496.65057MR684830
  8. [8] D. Kinderlehrer and G. Stampacchia. «An introduction to variational inequalities and their applications». Pure and Applied Mathematics88, Academic Press, New-York, 1980. Zbl0457.35001MR567696
  9. [9] J.L. Lions. «Quelques méthodes de résolution des problèmes aux limites non linéaires». Dunod, Gauthier-Villars, Paris, 1969. Zbl0189.40603MR259693
  10. [10] J.L. Lions. «Optimal control of systems governed by partial differential equations». Grundlehren der mathematischen Wissenschaften170. Springer-Verlag, Berlin, 1971. Zbl0203.09001MR271512
  11. [11] F. Mignot. «Contrôle dans les inéquations variationnelles elliptiques». J. Funct. Anal.22, 1976, 130-185. Zbl0364.49003MR423155
  12. [12] P.D. Panagiotopoulos. «Optimal control in the unilateral thin plate theory, Arch. Mech. Stos.29, 1977, 25-39. Zbl0359.73050MR502688
  13. [13] O. Pironneau. «Optimal shape design for elliptic systems». Lecture Notes in Comp. Physics, Springer Verlag, New-York, 1983. Zbl0534.49001MR1804687
  14. [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. MR1797385
  15. [15] J.P. Zolesio. «The material derivative (or speed) method for shape optimization». I n [6], pp. 1089-1151. Zbl0517.73097MR690991

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