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All issues Volume 32 / No 3 (1998) ESAIM: M2AN, 32 3 (1998) 255-281 References
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Issue
ESAIM: M2AN
Volume 32, Number 3, 1998
Page(s) 255 - 281
DOI https://doi.org/10.1051/m2an/1998320302551
Published online 27 January 2017
  1. W. ACHTZIGER. Truss topology design under multiple loading. DFG Report 367, Math. Institut, Univ. of Bayreuth, 1992. [Google Scholar]
  2. W. ACHTZIGER. Minimax compliance truss topology subject to multiple loadings. In M. BendsØe and C. Mota-Soares, editors, Topology optimization of trusses, pages 43-54. Kluwer Academic Press, Dortrecht, 1993. [MR: 1250189] [Google Scholar]
  3. W. ACHTZIGER, A. BEN-TAL, M. BENDSØE and J. ZOWE. Equivalent displacement based formulations for maximum strength truss topology design. IMPACT of Computing in Science and Engineering, 4: 315-345, 1992. [MR: 1196354] [Zbl: 0769.73054] [Google Scholar]
  4. G. ALLAIRE and R. KOHN. Optimal design for minimum weight and compliance in plane stress using extremal microstructures. European J. on Mechanics (A/Solids) 12: 839-878, 1993. [MR: 1343090] [Zbl: 0794.73044] [Google Scholar]
  5. K. J. BATHE and E. L. WILSON. Numerical Methods in Finite Element Analysis. Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1976. [Zbl: 0387.65069] [Google Scholar]
  6. A. BEN-TAL and M. BENDSØE. A new iterative method for optimal truss topology design. SIAM J. Optimization, 3: 322-358, 1993. [MR: 1215447] [Zbl: 0780.90076] [Google Scholar]
  7. A. BEN-TAL, M. BENDSØE and J. ZOWE. Optimization methods for truss geometry and topology design. Structural Optimization, 7: 141-159, 1994. [Google Scholar]
  8. A. BEN-TAL, I. YUZEFOVICH and M. ZIBULEVSKY. Penalty/barrier multiplier methods for minmax and constrained smooth convex programs. Research report 9/92, Optimization Laboratory, Technion-Israel Institute of Technology, Haifa, 1992. [Google Scholar]
  9. A. BEN-TAL and M. ZIBULEVSKY. Penalty/barrier multiplier methods: a new class of augmented lagrangian algorithms for large scale convex programming problems. SIAM J. Optimization, 7, 1997. [MR: 1443623] [Zbl: 0872.90068] [Google Scholar]
  10. M. BENDSØE, J. GUADES, R. HABER, P. PEDERSEN and J. TAYLOR. An analytical model to predict optimal material properties in the context of optimal structural design. J. Applied Mechanics, 61: 930-937, 1994. [MR: 1327483] [Zbl: 0831.73036] [Google Scholar]
  11. M. P. BENDSØE. Optimization of Structural Topology, Shape and Material, Springer-Verlag, Heidelberg, 1995. [MR: 1350791] [Zbl: 0822.73001] [Google Scholar]
  12. J. CEA. Lectures on Optimization. Springer-Verlag, Berlin, 1978. [Zbl: 0409.90050] [Google Scholar]
  13. P. G. CIARLET. The Finite Element Method for Elliptic Problems. North-Holland, Amsterdam, New York, Oxford, 1978. [MR: 520174] [Zbl: 0383.65058] [Google Scholar]
  14. I. EKELAND and R. TEMAM. Convex Analysis and Variational Problems. North-Holland, Amsterdam, 1976. [MR: 463994] [Zbl: 0322.90046] [Google Scholar]
  15. E. J. HAUG and J. S. ARORA Applied Optimal Design. Wiley, New York, 1979. [Google Scholar]
  16. I. HLAVÁČEK, J. HASLINGER, J. NEČAS and J. LOVÍŠEK Solution of Variational Inequalities in Mechanics. Springer-Verlag, New-York, 1988. [MR: 952855] [Zbl: 0654.73019] [Google Scholar]
  17. F. JARRE, M. KOČVARA and J. ZOWE. Interior point methods for mechanical design problems. SIAM J. Optimization. To appear. [Zbl: 0912.90231] [Google Scholar]
  18. A. KLARBRING, J. PETERSSON and M. RÖNNQUIST. Truss topology optimization involving unilateral contact. J. Optimization Theory and Applications, 87, 1995. [Zbl: 0841.73046] [Google Scholar]
  19. M. KOČVARA and J. ZOWE. How mathematics can help in design of mechanical structures. In. D.F. Griffiths and G.A. Watson, eds., Numerical Analysis 1995, Longman, Harlow, 1996, pp. 76-93. [Zbl: 0858.73059] [Google Scholar]
  20. J. PETERSSON On stiffness maximization of variable thickness sheet with unilateral contact. Quarterly of Applied Mathematics, 54: 541-550, 1996. [MR: 1402408] [Zbl: 0871.73046] [Google Scholar]
  21. J. PETERSSON and J. HASLINGER. An approximation theory for optimum sheet in unilateral contact. Quarterly of Applied Mathematics. To appear. [MR: 1622499] [Zbl: 0960.74051] [Google Scholar]
  22. J. PETERSSON and A. KLARBRING. Saddle point approach to stiffness optimization of discrete structures including unilateral contact. Control and Cybernetics, 3: 461-479, 1994. [MR: 1303365] [Zbl: 0820.73053] [Google Scholar]
  23. J. PETERSSON and M. PATRIKSSON. Topology optimization of sheets in contact by a subgradient method. International Journal for Numerical Methods in Engineerings. To appear. [MR: 1449228] [Zbl: 0890.73046] [Google Scholar]
  24. R. POLYAK. Modified barrier fonctions: Theory and methods. Mathematical Programming, 54: 177-222, 1992. [MR: 1158819] [Zbl: 0756.90085] [Google Scholar]
  25. R. T. ROCKAFELLAR A dual approach to solving nonlinear programming problems by unconstrained optimization. Mathematical Programming, 5: 354-373, 1973. [MR: 371416] [Zbl: 0279.90035] [Google Scholar]
  26. R. T. ROCKAFELLAR Convex Analysis. Princeton University Press, Princeton, New Jersey, 1970. [MR: 274683] [Zbl: 0193.18401] [Google Scholar]
  27. P. TSENG and D. P. BERTSEKAS On the convergence of the exponential multiplier method for convex programming. Mathematical Programming, 60: 1-19, 1993. [MR: 1231274] [Zbl: 0783.90101] [Google Scholar]

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