Geodesic
On computer aided shape optimization
Kybernetika, Tome 29 (1993) no. 3, pp. 256-269

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
Classification : 49Q10, 65D17, 65K10, 68N99, 74P99, 74S99 
Mäkinen, Raino A. E. On computer aided shape optimization. Kybernetika, Tome 29 (1993) no. 3, pp. 256-269. http://geodesic.mathdoc.fr/item/KYB_1993_29_3_a5/
@article{KYB_1993_29_3_a5,
     author = {M\"akinen, Raino A. E.},
     title = {On computer aided shape optimization},
     journal = {Kybernetika},
     pages = {256--269},
     year = {1993},
     volume = {29},
     number = {3},
     mrnumber = {1231871},
     zbl = {0787.73047},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_1993_29_3_a5/}
}
TY  - JOUR
AU  - Mäkinen, Raino A. E.
TI  - On computer aided shape optimization
JO  - Kybernetika
PY  - 1993
SP  - 256
EP  - 269
VL  - 29
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/KYB_1993_29_3_a5/
LA  - en
ID  - KYB_1993_29_3_a5
ER  - 
%0 Journal Article
%A Mäkinen, Raino A. E.
%T On computer aided shape optimization
%J Kybernetika
%D 1993
%P 256-269
%V 29
%N 3
%U http://geodesic.mathdoc.fr/item/KYB_1993_29_3_a5/
%G en
%F KYB_1993_29_3_a5

[1] J. Arora: Introduction to Optimum Design. McGraw-Hill, New York 1989.

[2] N. Banichuk: Problems and Methods of Optimal Structural Design. Plenum Press, London 1983. | MR

[3] D. Begis, R. Glowinski: Application de la methode des elements finis a l'approximation d'un probleme de domaine optimal. Appl. Math. Optim. 2 (1975), 130-169. | MR | Zbl

[4] M. P. Bendsøe, N. Kikuchi: Generating optimal topologies in structural design using a homogenization method. Comput. Methods Appl. Mech. Engrg. 71 (1988), 197-224. | MR

[5] V. Braibant, C. Fleury: Shape optimal design using B-splines. Comput. Meths. Appl. Mech. Engrg. 44 (1984), 247-267. | Zbl

[6] V. Braibant, C. Fleury: An approximation-concepts approach to shape optimal design. Comput. Meths. Appl. Mech. Engrg. 53 (1985), 119-148. | MR | Zbl

[7] R. A. Brockman: Geometric sensitivity analysis with isoparametric finite elements. Coram. Appl. Numer. Methods 3 (1987), 495-499. | Zbl

[8] J. Haslinger, R. A. E. Makinen: Shape optimization of elasto-plastic bodies under plane strains: sensitivity analysis and numerical implementation. Struct. Optim. 4 (1992), 133-141.

[9] J. Haslinger, P. Neittaanmaki: Finite Element Approximation for Optimal Shape Design. J. Wiley, Chichester 1988. | MR

[10] E. J. Hang, J. Arora: Applied Optimal Design. J. Wiley, New York 1979.

[11] E. J. Hang K. Choi, V. Komkov: Design Sensitivity Analysis of Structural Systems. Academic Press, Orlando 1986. | MR

[12] I. Hlaváček, R. Makinen: On the numerical solution of axisymmetric domain optimization problems. Appl. Math. 36 (1991), 284-304. | MR

[13] D. Liefooghe, C. Fleury: An interactive capability for shape optimal design. Finite Elements in Analysis and Design 5(1989), 39-55.

[14] R. Makinen: Finite-element design sensitivity analysis for non-linear potential problems. Commun. Appl. Numer. Methods 6 (1990), 343-350. | MR

[15] NAG Fortran library. Numerical Algorithms Group Ltd, Oxford.

[16] P. Neittaanmaki, T. Tiihonen: Sensitivity analysis for a class of optimal shape design problems. University of Jyvaskyla, Dept. of Math., REPORT 29, 1985. | MR

[17] OASIS-ALADDIN optimization system. ALFGAM optimering AB, Stockholm.

[18] O. Pironneau: Optimal Shape Design for Elliptic Systems. Springer-Verlag, New York 1984. | MR | Zbl

[19] J. Rasmussen: The structural optimization system CAOS. Struct. Optim. 2 (1990), 109-115.

[20] SAMCEF, Systeme d'Analyse des Milieux Continus par Elements Finis. Aerospace Laboratory, University of Liege, Liege.

[21] J. Sokolowski, J.-P. Zolesio: Shape sensitivity analysis of unilateral problems. SIAM J. Math. Anal. 18 (1987), 1416-1437. | MR | Zbl

[22] O. C. Zienkiewicz: The Finite Element Method. McGraw-Hill, London 1977. | Zbl

[23] O. C. Zienkiewicz, J. S. Campbell: Shape optimization and sequential linear programming. In: Optimum Structural Design (R. Gallagher and O.C. Zienkiewicz, eds.), J. Wiley, New York 1973, pp. 109-126.

[24] J.-P. Zolesio: Identification de domaines par deformations. These d'etat, University de Nice, 1979.