메뉴 건너뛰기




Volumn 25, Issue 4, 2010, Pages 645-664

Properties of an augmented Lagrangian for design optimization

Author keywords

Bounded retardation; Exact penalty function; Nonlinear optimization; Preconditioning; Simultaneous analysis and design

Indexed keywords

ADJOINTS; AUGMENTED LAGRANGIANS; DESIGN OPTIMIZATION; DESIGN VARIABLES; EXACT PENALTIES; FIXED POINTS; ITERATIVE PROCESS; NON-LINEAR OPTIMIZATION; NUMERICAL EXPERIMENTS; SIMULTANEOUS ANALYSIS AND DESIGNS; STATE EQUATIONS;

EID: 77951162399     PISSN: 10556788     EISSN: 10294937     Source Type: Journal    
DOI: 10.1080/10556780903270910     Document Type: Article
Times cited : (24)

References (20)
  • 4
    • 0002316369 scopus 로고
    • Exact penalty methods
    • E. Spedicato, ed., Kluwer Academic Publishers, Dordrecht, The Netherlands
    • G. Di Pillo, Exact penalty methods, in Algorithms for Continuous Optimization: The State of the Art, E. Spedicato, ed., Kluwer Academic Publishers, Dordrecht, The Netherlands, 1994, pp. 209-253.
    • (1994) Algorithms for Continuous Optimization: The State of the Art , pp. 209-253
    • Di Pillo, G.1
  • 5
    • 0021794572 scopus 로고
    • A continuously differentiable exact penalty function for nonlinear programming problems with inequality constraints
    • G. Di Pillo and L. Grippo, A continuously differentiable exact penalty function for nonlinear programming problems with inequality constraints, SIAM J. Control Optim. 23 (1986), pp. 72-84.
    • (1986) SIAM J. Control Optim. , vol.23 , pp. 72-84
    • Di Pillo, G.1    Grippo, L.2
  • 7
    • 0023427456 scopus 로고
    • A convergence theory for a class of quasi-Newton methods for constrained optimization
    • R. Fontecilla, T. Steihaug, and R.A. Tapia, A convergence theory for a class of quasi-Newton methods for constrained optimization, SIAM J. Numer. Anal. 24 (1987), pp. 1133-1151.
    • (1987) SIAM J. Numer. Anal. , vol.24 , pp. 1133-1151
    • Fontecilla, R.1    Steihaug, T.2    Tapia, R.A.3
  • 8
    • 67349089868 scopus 로고    scopus 로고
    • Preconditioning of one-shot pseudo-timestepping methods for shape optimization
    • I. Gherman andV. Schulz, Preconditioning of one-shot pseudo-timestepping methods for shape optimization, PAMM 5(1) (2005), pp. 741-759.
    • (2005) PAMM , vol.5 , Issue.1 , pp. 741-759
    • Gherman, I.1    Schulz, V.2
  • 9
    • 0026855130 scopus 로고
    • Automatic differentiation and iterative processes
    • J. Ch Gilbert, Automatic differentiation and iterative processes, Optim. Methods Softw. 1 (1992), pp. 13-21.
    • (1992) Optim. Methods Softw. , vol.1 , pp. 13-21
    • Ch Gilbert, J.1
  • 11
    • 77951149316 scopus 로고    scopus 로고
    • Projected Hessians for preconditioning in one-step design optimization
    • G. Di Pillo and M. Roma, eds., Springer, NewYork
    • A. Griewank, Projected Hessians for preconditioning in one-step design optimization, in Large Scale Nonlinear Optimization, G. Di Pillo and M. Roma, eds., Springer, NewYork, 2006, pp. 151-171.
    • (2006) Large Scale Nonlinear Optimization , pp. 151-171
    • Griewank, A.1
  • 12
    • 0141738320 scopus 로고    scopus 로고
    • Reduced functions, gradients and hessians from fixed point iteration for state equations, Numer
    • A. Griewank and C. Faure, Reduced functions, gradients and hessians from fixed point iteration for state equations, Numer. Algorithms 30(2) (2002), pp. 113-139.
    • (2002) Algorithms , vol.30 , Issue.2 , pp. 113-139
    • Griewank, A.1    Faure, C.2
  • 14
    • 77951193357 scopus 로고    scopus 로고
    • Time-lag in derivative convergence for fixed point iterations
    • A. Griewank and D. Kressner, Time-lag in derivative convergence for fixed point iterations,ARIMA Numéro spécial CARI'04, 2005, pp. 87-102.
    • (2005) ARIMA Numéro Spécial CARI'04 , pp. 87-102
    • Griewank, A.1    Kressner, D.2
  • 16
    • 84983103398 scopus 로고
    • Optimum aerodynamic design using CFD and control theory
    • AIAA paper 95-1729, American Institute of Aeronautics and Astronautics, San Diego, CA
    • A. Jameson, Optimum aerodynamic design using CFD and control theory, In 12th AIAA Computational Fluid Dynamics Conference, AIAA paper 95-1729, American Institute of Aeronautics and Astronautics, San Diego, CA, 1995.
    • (1995) 12th AIAA Computational Fluid Dynamics Conference
    • Jameson, A.1
  • 17
    • 0003600777 scopus 로고    scopus 로고
    • Society for Industrial and Applied Mathematics, Philadelphia
    • C.T. Kelley, Iterative Methods for Optimizations, Society for Industrial and Applied Mathematics, Philadelphia, 1999.
    • (1999) Iterative Methods for Optimizations
    • Kelley, C.T.1
  • 19
    • 0345341465 scopus 로고
    • Observations on computational methodologies for use in large-scale, gradient-based, multidisciplinary design incorporating advanced CFD codes
    • Technical Memorandum 104206, NASA Langley Research Center
    • P.A. Newman, G.J.-W. Hou, H.E. Jones,A.C.Taylor, andV.M.Korivi, Observations on computational methodologies for use in large-scale, gradient-based, multidisciplinary design incorporating advanced CFD codes. Technical Memorandum 104206, NASA Langley Research Center. AVSCOM Tech. Rep. 92-B-007, 1992.
    • (1992) AVSCOM Tech. Rep. 92-B-007
    • Newman, P.A.1    Hou, G.J.-W.2    Jones, H.E.3    Taylor, A.C.4    Korivi, V.M.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.