About DML-CZ | FAQ | Conditions of Use | Math Archives | Contact Us
  Previous |  Up |  Next

Article

First Page Preview
Mäkinen, Raino A. E.
On computer aided shape optimization. (English). Kybernetika, vol. 29 (1993), issue 3, pp. 256-269
MSC: 49Q10, 65D17, 65K10, 68N99, 74P99, 74S99 | MR 1231871 | Zbl 0787.73047
References:
[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 0715778
[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 0443372 | Zbl 0323.90063
[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 0969217
[5] V. Braibant, C. Fleury: Shape optimal design using B-splines. Comput. Meths. Appl. Mech. Engrg. 44 (1984), 247-267. Zbl 0525.73104
[6] V. Braibant, C. Fleury: An approximation-concepts approach to shape optimal design. Comput. Meths. Appl. Mech. Engrg. 53 (1985), 119-148. MR 0814777 | Zbl 0562.73084
[7] R. A. Brockman: Geometric sensitivity analysis with isoparametric finite elements. Coram. Appl. Numer. Methods 3 (1987), 495-499. Zbl 0623.73081
[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 0982710
[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 0860040
[12] I. Hlaváček, R. Makinen: On the numerical solution of axisymmetric domain optimization problems. Appl. Math. 36 (1991), 284-304. MR 1113952
[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 1062294
[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 0793016
[17] OASIS-ALADDIN optimization system. ALFGAM optimering AB, Stockholm.
[18] O. Pironneau: Optimal Shape Design for Elliptic Systems. Springer-Verlag, New York 1984. MR 0725856 | Zbl 0534.49001
[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 0902342 | Zbl 0646.35036
[22] O. C. Zienkiewicz: The Finite Element Method. McGraw-Hill, London 1977. Zbl 0435.73072
[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.
Partner of
EuDML logo