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Volumn 47, Issue 11, 2009, Pages 2649-2657

Globally convergent optimization algorithm using conservative convex separable diagonal quadratic approximations

Author keywords

[No Author keywords available]

Indexed keywords

CONSTRAINT FUNCTIONS; GLOBAL CONVERGENCE; GLOBALLY CONVERGENT; INITIAL CURVATURE; INNER ITERATION; METHOD OF MOVING ASYMPTOTES; NUMERICAL COMPARISON; OPTIMIZATION ALGORITHMS; OPTIMIZATION METHOD; OUTER ITERATION; QUADRATIC APPROXIMATION; RECIPROCAL APPROXIMATIONS; SEPARABLE APPROXIMATION; SEQUENTIAL APPROXIMATE OPTIMIZATION; SUB-PROBLEMS;

EID: 72149122405     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/1.41975     Document Type: Article
Times cited : (18)

References (31)
  • 1
    • 34250083818 scopus 로고
    • Approximation concepts for optimum structural design: A review
    • doi:10.1007/BF01743349
    • Barthelemy, J.-F. M., and Haftka, R. T., "Approximation Concepts for Optimum Structural Design: A Review," Structural Optimization, Vol.5, No.3, 1993, pp. 129-144. doi:10.1007/BF01743349
    • (1993) Structural Optimization , vol.5 , Issue.3 , pp. 129-144
    • Barthelemy, J.-F.M.1    Haftka, R.T.2
  • 2
    • 0023287947 scopus 로고
    • The method of moving asymptotes:anewmethod for structural optimization
    • doi:10.1002/nme.1620240207
    • Svanberg, K., "The Method of Moving Asymptotes:ANewMethod for Structural Optimization," International Journal for Numerical Methods in Engineering, Vol.24, No.2, 1987, pp. 359-373. doi:10.1002/nme.1620240207
    • (1987) International Journal for Numerical Methods in Engineering , vol.24 , Issue.2 , pp. 359-373
    • Svanberg, K.1
  • 3
    • 0022676236 scopus 로고
    • Structural optimization: A new dual method using mixed variables
    • doi:10.1002/nme.1620230307
    • Fleury, C., and Braibant, V., "Structural Optimization: A New Dual Method Using Mixed Variables," International Journal for Numerical Methods in Engineering, Vol.23, No.3, 1986, pp. 409-428. doi:10.1002/nme.1620230307
    • (1986) International Journal for Numerical Methods in Engineering , vol.23 , Issue.3 , pp. 409-428
    • Fleury, C.1    Braibant, V.2
  • 4
    • 0036904463 scopus 로고    scopus 로고
    • The dynamic-Q optimization method: An alternative to SQP?
    • doi:10.1016/S0898-1221(02)00281-X
    • Snyman, J. A., and Hay, A. M., "The Dynamic-Q Optimization Method: An Alternative to SQP?," Computers and Mathematics with Applications, Vol.44, No.12, 2002, pp. 1589-1598. doi:10.1016/S0898-1221(02)00281-X
    • (2002) Computers and Mathematics with Applications , vol.44 , Issue.12 , pp. 1589-1598
    • Snyman, J.A.1    Hay, A.M.2
  • 6
    • 0019516225 scopus 로고
    • Algorithms based on optimality criteria to design minimumweight structures
    • doi:10.1080/03052158108902436
    • Khot, N. S., "Algorithms Based on Optimality Criteria to Design MinimumWeight Structures," Engineering Optimization,Vol.5, No.2, 1981, pp. 73-90. doi:10.1080/03052158108902436
    • (1981) Engineering Optimization , vol.5 , Issue.2 , pp. 73-90
    • Khot, N.S.1
  • 7
    • 0043203061 scopus 로고
    • Optimality criteria: A basis for multidisciplinary optimization
    • doi:10.1007/BF01046875
    • Venkayya, V. B., "Optimality Criteria: A Basis for Multidisciplinary Optimization," Computational Mechanics,Vol. 5,No.1, 1989, pp.1-21. doi:10.1007/BF01046875
    • (1989) Computational Mechanics , vol.5 , Issue.1 , pp. 1-21
    • Venkayya, V.B.1
  • 9
    • 0003951723 scopus 로고    scopus 로고
    • MPS/SIAM Series on Optimization, Society for Industrial and Applied Mathematics, Philadelphia
    • Conn, A. R., Gould, N. I. M., and Toint, P. L., Trust-Region Methods, MPS/SIAM Series on Optimization, Society for Industrial and Applied Mathematics, Philadelphia, 2000.
    • (2000) Trust-Region Methods
    • Conn, A.R.1    Gould, N.I.M.2    Toint, P.L.3
  • 10
    • 0036013025 scopus 로고    scopus 로고
    • A class of globally convergent optimization methods based on conservative convex separable approximations
    • doi:10.1137/S1052623499362822
    • Svanberg, K., "A Class of Globally Convergent Optimization Methods Based on Conservative Convex Separable Approximations," SIAM Journal on Optimization, Vol.12, No.2, 2002, pp. 555-573. doi:10.1137/S1052623499362822
    • (2002) SIAM Journal on Optimization , vol.12 , Issue.2 , pp. 555-573
    • Svanberg, K.1
  • 12
    • 34249663733 scopus 로고    scopus 로고
    • Incomplete series expansion for function approximation
    • DOI 10.1007/s00158-006-0070-6
    • Groenwold, A. A., Etman, L. F. P., Snyman, J. A., and Rooda, J. E., "Incomplete Series Expansion for Function Approximation," Structural and Multidisciplinary Optimization, Vol.34, No.1, 2007, pp. 21-40. doi:10.1007/s00158-006-0070-6 (Pubitemid 46828875)
    • (2007) Structural and Multidisciplinary Optimization , vol.34 , Issue.1 , pp. 21-40
    • Groenwold, A.A.1    Etman, L.F.P.2    Snyman, J.A.3    Rooda, J.E.4
  • 13
    • 65049086150 scopus 로고    scopus 로고
    • An augmented lagrangian approach to non-convex SAO using diagonal quadratic approximations
    • May, doi:10.1007/s00158-008-0304-x
    • Groenwold, A. A., Etman, L.F.P.,Kok, S.,Wood, D.W., andTosserams, S., "An Augmented Lagrangian Approach to Non-Convex SAO Using Diagonal Quadratic Approximations," Structural and Multidisciplinary Optimization, Vol.38, No.4, May 2009, pp. 415-421. doi:10.1007/s00158-008-0304-x
    • (2009) Structural and Multidisciplinary Optimization , vol.38 , Issue.4 , pp. 415-421
    • Groenwold, A.A.1    Etman, L.F.P.2    Kok, S.3    Wood, D.W.4    Tosserams, S.5
  • 15
    • 74449088086 scopus 로고    scopus 로고
    • Approximated approximations for SAO
    • (to be published); available online 10 June, doi:10.1007/s00158-009-0406- 0
    • Groenwold, A. A., Etman, L. F. P., and Wood, D. W., Approximated Approximations for SAO, Structural and Multidisciplinary Optimization (to be published); available online 10 June 2009. doi:10.1007/s00158-009-0406-0
    • (2009) Structural and Multidisciplinary Optimization
    • Groenwold, A.A.1    Etman, L.F.P.2    Wood, D.W.3
  • 16
    • 72149116710 scopus 로고    scopus 로고
    • The application of gradient-only optimization methods for problems discretized using non-constant methods
    • (to be published); available online 6 May,doi:10.1007/s00158-009-0389-x
    • Wilke, D. N., Kok, S., and Groenwold, A. A., The Application of Gradient-Only Optimization Methods for Problems Discretized Using Non-Constant Methods, Structural and Multidisciplinary Optimization (to be published); available online 6 May 2009. doi:10.1007/s00158-009-0389-x
    • (2009) Structural and Multidisciplinary Optimization
    • Wilke, D.N.1    Kok, S.2    Groenwold, A.A.3
  • 17
    • 0029375557 scopus 로고
    • Improved two-point function approximation for design optimization
    • doi:10.2514/3.12715
    • Wang, L., and Grandhi, R. V., "Improved Two-Point Function Approximation for Design Optimization," AIAA Journal, Vol.33, No.9, 1995, pp. 1720-1727. doi:10.2514/3.12715
    • (1995) AIAA Journal , vol.33 , Issue.9 , pp. 1720-1727
    • Wang, L.1    Grandhi, R.V.2
  • 18
    • 0032290925 scopus 로고    scopus 로고
    • Effective two-point function approximation for design optimization
    • doi:10.2514/2.337
    • Xu, S., and Grandhi, R. V., "Effective Two-Point Function Approximation for Design Optimization," AIAA Journal,Vol. 36, No.12, 1998, pp. 2269-2275. doi:10.2514/2.337
    • (1998) AIAA Journal , vol.36 , Issue.12 , pp. 2269-2275
    • Xu, S.1    Grandhi, R.V.2
  • 19
    • 0018505973 scopus 로고
    • Preliminary design of composite wings for buckling, stress and displacement constraints
    • doi:10.2514/3.58565
    • Starnes, J. H., Jr., and Haftka, R. T., "Preliminary Design of Composite Wings for Buckling, Stress and Displacement Constraints," Journal of Aircraft, Vol.16, No.8, 1979, pp. 564-570. doi:10.2514/3.58565
    • (1979) Journal of Aircraft , vol.16 , Issue.8 , pp. 564-570
    • Starnes Jr., J.H.1    Haftka, R.T.2
  • 20
    • 0041611188 scopus 로고
    • Lagrange multipliers and nonlinear programming
    • doi:10.1016/0022-247X(67)90028-5
    • Falk, J. E., "Lagrange Multipliers and Nonlinear Programming," Journal of Mathematical Analysis and Applications, Vol.19, No.1, 1967, pp. 141-159. doi:10.1016/0022-247X(67)90028-5
    • (1967) Journal of Mathematical Analysis and Applications , vol.19 , Issue.1 , pp. 141-159
    • Falk, J.E.1
  • 21
    • 54949144664 scopus 로고    scopus 로고
    • Sequential approximate optimization using dual subproblems based on incomplete series expansions
    • doi:10.1007/s00158-007-0197-0
    • Groenwold, A. A., and Etman, L. F. P., "Sequential Approximate Optimization Using Dual Subproblems Based on Incomplete Series Expansions," Structural and Multidisciplinary Optimization, Vol.36, No.6, 2008, pp. 547-570. doi:10.1007/s00158-007-0197-0
    • (2008) Structural and Multidisciplinary Optimization , vol.36 , Issue.6 , pp. 547-570
    • Groenwold, A.A.1    Etman, L.F.P.2
  • 23
    • 0000732463 scopus 로고
    • A limited memory algorithm for bound constrained optimization
    • doi:10.1137/0916069
    • Byrd, R. H., Lu, P., Nocedal, J., and Zhu, C., "A Limited Memory Algorithm for Bound Constrained Optimization," SIAM Journal on Scientific Computing, Vol.16, No.5, 1995, pp. 1190-1208. doi:10.1137/0916069
    • (1995) SIAM Journal on Scientific Computing , vol.16 , Issue.5 , pp. 1190-1208
    • Byrd, R.H.1    Lu, P.2    Nocedal, J.3    Zhu, C.4
  • 24
    • 0004095331 scopus 로고
    • Solid Mechanics and Its Applications, 3rd ed., Kluwer Academic, Dordrecht, The Netherlands
    • Haftka, R. T., and Gürdal, Z., Elements of Structural Optimization, Solid Mechanics and Its Applications Vol. 11, 3rd ed., Kluwer Academic, Dordrecht, The Netherlands, 1991.
    • (1991) Elements of Structural Optimization , vol.11
    • Haftka, R.T.1    Gürdal, Z.2
  • 25
    • 0003026913 scopus 로고
    • edited by G. I. N. Rozvany, and N. Olhoff, Pergamon Press, Oxford, England, U.K.
    • Svanberg, K., "A Globally Convergent Version of MMAWithout Line Search," edited by G. I. N. Rozvany, and N. Olhoff, Pergamon Press, Oxford, England, U.K., 1995, pp. 9-16.
    • (1995) A Globally Convergent Version of MMAWithout Line Search , pp. 9-16
    • Svanberg, K.1
  • 26
    • 0001908512 scopus 로고
    • On methods for discrete structural optimization
    • doi:10.1080/03052158808940946
    • Ringertz, U. T., "On Methods for Discrete Structural Optimization," Engineering Optimization, Vol.13, No.1, 1988, pp. 47-64. doi:10.1080/03052158808940946
    • (1988) Engineering Optimization , vol.13 , Issue.1 , pp. 47-64
    • Ringertz, U.T.1
  • 29
    • 0031270912 scopus 로고    scopus 로고
    • On the design of compliant mechanisms using topology optimization
    • Sigmund, O., "On the Design of Compliant Mechanisms Using Topology Optimization," Mechanics of Structures and Machines, Vol.25, No.4, 1997, pp. 495-526.
    • (1997) Mechanics of Structures and Machines , vol.25 , Issue.4 , pp. 495-526
    • Sigmund, O.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.