Title:
|
On computer aided shape optimization (English) |
Author:
|
Mäkinen, Raino A. E. |
Language:
|
English |
Journal:
|
Kybernetika |
ISSN:
|
0023-5954 |
Volume:
|
29 |
Issue:
|
3 |
Year:
|
1993 |
Pages:
|
256-269 |
. |
Category:
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math |
. |
MSC:
|
49Q10 |
MSC:
|
65D17 |
MSC:
|
65K10 |
MSC:
|
68N99 |
MSC:
|
74P99 |
MSC:
|
74S99 |
idZBL:
|
Zbl 0787.73047 |
idMR:
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MR1231871 |
. |
Date available:
|
2009-09-24T18:40:32Z |
Last updated:
|
2012-06-06 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125098 |
. |
Reference:
|
[1] J. Arora: Introduction to Optimum Design.McGraw-Hill, New York 1989. |
Reference:
|
[2] N. Banichuk: Problems and Methods of Optimal Structural Design.Plenum Press, London 1983. MR 0715778 |
Reference:
|
[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. Zbl 0323.90063, MR 0443372 |
Reference:
|
[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 |
Reference:
|
[5] V. Braibant, C. Fleury: Shape optimal design using B-splines.Comput. Meths. Appl. Mech. Engrg. 44 (1984), 247-267. Zbl 0525.73104 |
Reference:
|
[6] V. Braibant, C. Fleury: An approximation-concepts approach to shape optimal design.Comput. Meths. Appl. Mech. Engrg. 53 (1985), 119-148. Zbl 0562.73084, MR 0814777 |
Reference:
|
[7] R. A. Brockman: Geometric sensitivity analysis with isoparametric finite elements.Coram. Appl. Numer. Methods 3 (1987), 495-499. Zbl 0623.73081 |
Reference:
|
[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. |
Reference:
|
[9] J. Haslinger, P. Neittaanmaki: Finite Element Approximation for Optimal Shape Design.J. Wiley, Chichester 1988. MR 0982710 |
Reference:
|
[10] E. J. Hang, J. Arora: Applied Optimal Design.J. Wiley, New York 1979. |
Reference:
|
[11] E. J. Hang K. Choi, V. Komkov: Design Sensitivity Analysis of Structural Systems.Academic Press, Orlando 1986. MR 0860040 |
Reference:
|
[12] I. Hlaváček, R. Makinen: On the numerical solution of axisymmetric domain optimization problems.Appl. Math. 36 (1991), 284-304. MR 1113952 |
Reference:
|
[13] D. Liefooghe, C. Fleury: An interactive capability for shape optimal design.Finite Elements in Analysis and Design 5(1989), 39-55. |
Reference:
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[14] R. Makinen: Finite-element design sensitivity analysis for non-linear potential problems.Commun. Appl. Numer. Methods 6 (1990), 343-350. MR 1062294 |
Reference:
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[15]
: NAG Fortran library.Numerical Algorithms Group Ltd, Oxford. |
Reference:
|
[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 |
Reference:
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[17]
: OASIS-ALADDIN optimization system.ALFGAM optimering AB, Stockholm. |
Reference:
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[18] O. Pironneau: Optimal Shape Design for Elliptic Systems.Springer-Verlag, New York 1984. Zbl 0534.49001, MR 0725856 |
Reference:
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[19] J. Rasmussen: The structural optimization system CAOS.Struct. Optim. 2 (1990), 109-115. |
Reference:
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[20]
: SAMCEF, Systeme d'Analyse des Milieux Continus par Elements Finis.Aerospace Laboratory, University of Liege, Liege. |
Reference:
|
[21] J. Sokolowski, J.-P. Zolesio: Shape sensitivity analysis of unilateral problems.SIAM J. Math. Anal. 18 (1987), 1416-1437. Zbl 0646.35036, MR 0902342 |
Reference:
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[22] O. C. Zienkiewicz: The Finite Element Method.McGraw-Hill, London 1977. Zbl 0435.73072 |
Reference:
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[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. |
Reference:
|
[24] J.-P. Zolesio: Identification de domaines par deformations.These d'etat, University de Nice, 1979. |
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