Competing parallel algorithms in structural optimization

Structural and Multidisciplinary Optimization

Volumn 24, Issue 5, 2002, Pages 343-350

  Groenwold, A A ^a   Hindley, M P ^a  

^a UNIVERSITY OF PRETORIA   (South Africa)

Author keywords

Competing algorithms; Global stopping criterion; Parallel optimization

Indexed keywords

FINITE ELEMENT METHOD; FUNCTIONS; GLOBAL OPTIMIZATION; PARALLEL ALGORITHMS; PROBABILITY;

COMPETING ALGORITHMS; GLOBAL STOPPING CRITERION; PARALLEL OPTIMIZATION;

STRUCTURAL OPTIMIZATION;

EID: 0036866615     PISSN: 1615147X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00158-002-0246-7     Document Type: Article

References (20)

1. Bathe, K.-J.; Dvorkin, E.N. 1985: A four node plate bending element based on Mindlin-Reissner plate theory and a mixed interpolation. Int. J. Numer. Meth. Eng. 21, 367-383
2. Boender, C.G.E.; Rinnooy Kan, A.H.G.; Timmer, G.T.; Stougie, L. 1953: A stochastic method for global optimization. Math. Program. 22, 125-140
3. Bolton, H.P.J.; Groenwold, A.A.; Snyman, J.A. 2001: Competing parallel algorithms in global optimization. (submitted)
4. Bolton, H.P.J.; Schutte, J.F.; Groenwold, A.A. 2000: Multiple parallel local searches in global optimization. In: Dongarra, J.; Kacsuk, P.; Podhorszki, N. 2000: Recent advances in parallel virtual machine and message passing interface (held in Balatonfured, Hungary), pp. 88-95. Berlin, Heidelberg, New York: Springer
5. Di, S.; Ramm, E. 1994: On alternative hybrid stress 2D and 3D elements. Eng. Comput. 11, 49-68
6. Dvorkin, E.N.; Bathe, K.-J. 1984: A continuum mechanics based four-node shell element for general non-linear analysis. Eng. Comput. 1, 77-88
7. Fourie, P.C.; Groenwold, A.A. 2001: The particle swarm optimization algorithm in size and shape optimization. Struct. Multidisc. Optim. 23
8. Geist, A.; Beguelin, A.; Dongarra, J.; Jiang, W.; Manchek, R.; Sunderam, V. 1997: PVM: parallel virtual machine - a users guide and tutorial for networked parallel computing. ftp://netlib2cs.utk.edu/pvm3/ (ver. 3.4)
9. Geyer, S.; Groenwold, A.A. 2001: Two hybrid stress membrane finite element families with drilling rotations. Int. J. Num. Meth. Eng. 53, 583-601
10. Goldberg, D.E. 1989: Genetic algorithms in search, optimization, and machine learning. New York: Addison-Wesley
11. Groenwold, A.A.; Stander, N. 1995: An efficient 4-node 24 d.o.f. thick shell finite element with 5-point quadrature. Eng. Comput. 12, 723-748
12. Ibrahimbegovic, A.; Taylor, R.L.; Wilson, E.L. 1990: A robust quadrilateral membrane finite element with drilling degrees of freedom. Int. J. Numer. Meth. Eng. 30, 445-457
13. Ibrahimbegovic, A.; Wilson, E.L. 1991: A unified formulation for triangular and quadrilateral flat shell finite elements with six nodal degrees of freedom. Commun. Appl. Numer. Meth. 7, 1-9
14. Jones, D.R.; Pertunnen, C.D.; Stuckman, B.E. 1993: Lipschitzan optimization without the Lipschitz constant. J. Optimiz. Theory Appl. 79, 157-181
15. Metropolis, N.; Rosenbluth, A.; Rosenbluth, M.; Teller, A.; Teller, E. 1953: Equations of state calculations by fast computing machine. J. Chem. Phys. 21, 1087-1092
16. Mockus, J. 1989: Bayesian approach to global optimization Dordrecht: Kluwer
17. Rinnooy Kan, A.H.G.; Timmer, G.T. 1987: Stochastic global optimization methods. Part I: clustering methods. Mathemat. Program. 39, 27-56
18. Schutte, J.F.; Bolton, H.P.J.; Erasmus, C.; Geyer, S.; Groenwold, A.A. 2000: An efficient parallel global optimization infrastructure for composite structures. In: De Roeck, G.; Topping, B.H.V. (ed.) 5-th International Conference on Computational Structures Technology (held in Leuven, Belgium) pp. 161-168. Edinburgh: Civil-Comp Press
19. Snyman, J.A.; Fatti, L.P. 1987: A multi-start global minimization algorithm with dynamic search trajectories. J. Optimiz. Theory Appl. 54, 121-141
20. Torn, A.; Zilinskas, A. 1989: Global optimization. Berlin, Heidelberg, New York: Springer