메뉴 건너뛰기




Volumn 43, Issue 11, 2005, Pages 2422-2430

Hybrid variable fidelity optimization by using a kriging-based scaling function

Author keywords

[No Author keywords available]

Indexed keywords

AIRFOILS; APPROXIMATION THEORY; CONSTRAINT THEORY; CONVERGENCE OF NUMERICAL METHODS; FUNCTIONS; PROBLEM SOLVING;

EID: 28844451088     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/1.12466     Document Type: Article
Times cited : (146)

References (51)
  • 2
    • 0022753894 scopus 로고
    • Geometric programming strategies in large-scale structural synthesis
    • Hajela, P., "Geometric Programming Strategies in Large-Scale Structural Synthesis," AIAA Journal, Vol. 24, No. 7, 1986, pp. 1173-1178.
    • (1986) AIAA Journal , vol.24 , Issue.7 , pp. 1173-1178
    • Hajela, P.1
  • 4
    • 0002788638 scopus 로고    scopus 로고
    • Managing approximation models in optimization
    • edited by N. Alexandrov and M. Y. Hussaini, Society for Industrial and Applied Mathematics, Philadelphia
    • Dennis, J., and Torczon, V., "Managing Approximation Models in Optimization," Multidisciplinary Design Optimization: State of the Art, edited by N. Alexandrov and M. Y. Hussaini, Society for Industrial and Applied Mathematics, Philadelphia, 1996.
    • (1996) Multidisciplinary Design Optimization: State of the Art
    • Dennis, J.1    Torczon, V.2
  • 5
    • 0026227160 scopus 로고
    • Combining global and local approximations
    • Haftka, R. T., "Combining Global and Local Approximations," AIAA Journal, Vol. 29, No. 9, 1991, pp. 1523-1525.
    • (1991) AIAA Journal , vol.29 , Issue.9 , pp. 1523-1525
    • Haftka, R.T.1
  • 6
    • 0027555394 scopus 로고
    • Sensitivity-based scaling-for approximating structural response
    • Chang, K. J., Haftka, R. T., Giles, G. L., and Kao, P.-J., "Sensitivity-Based Scaling-for Approximating Structural Response," Journal of Aircraft, Vol. 30, No. 2, 1993, pp. 283-288.
    • (1993) Journal of Aircraft , vol.30 , Issue.2 , pp. 283-288
    • Chang, K.J.1    Haftka, R.T.2    Giles, G.L.3    Kao, P.-J.4
  • 7
    • 0003271859 scopus 로고    scopus 로고
    • First-order model management with variable-fidelity physics applied to multi-element airfoil optimization
    • Sept.
    • Alexandrov, N. M., Nielsen, E. J., Lewis, R. M., and Anderson, W. K., "First-Order Model Management with Variable-Fidelity Physics Applied to Multi-Element Airfoil Optimization," AIAA Paper 2000-4886, Sept. 2000.
    • (2000) AIAA Paper , vol.2000 , Issue.4886
    • Alexandrov, N.M.1    Nielsen, E.J.2    Lewis, R.M.3    Anderson, W.K.4
  • 8
    • 4944233419 scopus 로고    scopus 로고
    • Optimization with variable-fidelity models applied to wing design
    • Jan.
    • Alexandrov, N. M., Lewis, R. M., Gumbert, C. R., Green, L. L., and Newman, P. A., "Optimization with Variable-Fidelity models Applied to Wing Design," AIAA Paper 2000-0841, Jan. 2000.
    • (2000) AIAA Paper , vol.2000 , Issue.841
    • Alexandrov, N.M.1    Lewis, R.M.2    Gumbert, C.R.3    Green, L.L.4    Newman, P.A.5
  • 9
    • 84881506781 scopus 로고    scopus 로고
    • First-order approximation and model management in optimization
    • Lecture Notes in Computational Science and Engineering, edited by L. T. Biegler, O. Ghartas, M. Heinkenschloss, and B. v. Bloemen Waanders, Springer-Verlag
    • Alexandrov, N. M., and Lewis, R. M., "First-Order Approximation and Model Management in Optimization," Large-Scale PDE-Constrained Optimization, Lecture Notes in Computational Science and Engineering, Vol. 30, edited by L. T. Biegler, O. Ghartas, M. Heinkenschloss, and B. v. Bloemen Waanders, Springer-Verlag, 2003, pp. 65-81.
    • (2003) Large-scale PDE-constrained Optimization , vol.30 , pp. 65-81
    • Alexandrov, N.M.1    Lewis, R.M.2
  • 10
    • 0003951723 scopus 로고    scopus 로고
    • Society for Industrial and Applied Mathematics, Philadelphia
    • Conn, A. R., Gould, N. I. M., and Toint, P. L., Trust-Region Methods, 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
  • 11
    • 28844491148 scopus 로고    scopus 로고
    • Implementation of a trust region model management strategy in the DAKOTA optimization toolkit
    • Sept.
    • Giunta, A. A., and Eldred, M. S., "Implementation of a Trust Region Model Management Strategy in the DAKOTA Optimization Toolkit," AIAA Paper 2000-4935, Sept. 2000.
    • (2000) AIAA Paper , vol.2000 , Issue.4935
    • Giunta, A.A.1    Eldred, M.S.2
  • 13
    • 0032089505 scopus 로고    scopus 로고
    • Convergence of trust region augmented Lagrangian methods using variable fidelity approximation data
    • Rodríguez, J. F., and Renaud, J. E., "Convergence of Trust Region Augmented Lagrangian Methods Using Variable Fidelity Approximation Data," Structural Optimization, Vol. 15, 1998, pp. 141-156.
    • (1998) Structural Optimization , vol.15 , pp. 141-156
    • Rodríguez, J.F.1    Renaud, J.E.2
  • 14
    • 0032014686 scopus 로고    scopus 로고
    • Trust region augmented Lagrangian methods for sequential response surface approximation and optimization
    • Rodríguez, J. F., Renaud, J. E., and Watson, L. T., "Trust Region Augmented Lagrangian Methods for Sequential Response Surface Approximation and Optimization," Journal of Mechanical Design, Vol. 120, No. 1, 1998, pp. 58-66.
    • (1998) Journal of Mechanical Design , vol.120 , Issue.1 , pp. 58-66
    • Rodríguez, J.F.1    Renaud, J.E.2    Watson, L.T.3
  • 16
    • 0025207388 scopus 로고
    • Sensitivity of complex, internally coupled systems
    • Sobieszczanski-Sobieski, J., "Sensitivity of Complex, Internally Coupled Systems," AIAA Journal, Vol. 28, No. 1, 1990, pp. 153-160.
    • (1990) AIAA Journal , vol.28 , Issue.1 , pp. 153-160
    • Sobieszczanski-Sobieski, J.1
  • 18
    • 84896097939 scopus 로고    scopus 로고
    • Interior point sequential approximate optimization methodology
    • Sept.
    • Pérez, V. M., Renaud, J. E., and Watson, L. T., "Interior Point Sequential Approximate Optimization Methodology," AIAA Paper 2002-5505, Sept. 2002.
    • (2002) AIAA Paper , vol.2002 , Issue.5505
    • Pérez, V.M.1    Renaud, J.E.2    Watson, L.T.3
  • 19
    • 84888928133 scopus 로고    scopus 로고
    • Reduced sampling for construction of quadratic response surface approximations using adaptive experimental design
    • April
    • Pérez, V. M., Renaud, J. E., and Watson, L. T., "Reduced Sampling for Construction of Quadratic Response Surface Approximations Using Adaptive Experimental Design," AIAA Paper 2002-1587, April 2002.
    • (2002) AIAA Paper , vol.2002 , Issue.1587
    • Pérez, V.M.1    Renaud, J.E.2    Watson, L.T.3
  • 20
    • 1242295114 scopus 로고    scopus 로고
    • A constraint mapping approach to the structural optimization of an expensive model using surrogates
    • Leary, S. J., Bhaskar, A., and Keane, A. J., "A Constraint Mapping Approach to the Structural Optimization of an Expensive Model Using Surrogates," Optimization and Engineering, Vol. 2, 2001, pp. 385-398.
    • (2001) Optimization and Engineering , vol.2 , pp. 385-398
    • Leary, S.J.1    Bhaskar, A.2    Keane, A.J.3
  • 21
    • 2242448854 scopus 로고    scopus 로고
    • A trust region framework for managing the use of approximation models in optimization
    • NASA CR-201745, Oct.
    • Alexandrov, N. M., Dennis, J. E., Lewis, R. M., and Torczon, V., "A Trust Region Framework for Managing the Use of Approximation Models in Optimization," ICASE, Rept. 97-50, NASA CR-201745, Oct. 2001.
    • (2001) ICASE, Rept. , vol.97 , Issue.50
    • Alexandrov, N.M.1    Dennis, J.E.2    Lewis, R.M.3    Torczon, V.4
  • 22
    • 0002467356 scopus 로고
    • Global convergence of a class of trust region algorithms for optimization with simple bounds
    • Conn, A. R., Gould, N. I. M., and Toint, P. L., "Global Convergence of a Class of Trust Region Algorithms for Optimization with Simple Bounds, " SIAM Journal of Numerical Analysis, Vol. 25, No. 2, 1988, pp. 433-464.
    • (1988) SIAM Journal of Numerical Analysis , vol.25 , Issue.2 , pp. 433-464
    • Conn, A.R.1    Gould, N.I.M.2    Toint, P.L.3
  • 23
    • 20344408258 scopus 로고    scopus 로고
    • A mulitgrid approach to the optimization of systems governed by differential equations
    • Sept.
    • Lewis, R. M., and Nash, S. G.. "A Mulitgrid Approach to the Optimization of Systems Governed by Differential Equations," AIAA Paper 2000-4890, Sept. 2000.
    • (2000) AIAA Paper , vol.2000 , Issue.4890
    • Lewis, R.M.1    Nash, S.G.2
  • 27
    • 0014825610 scopus 로고
    • A new approach to variable metric algorithms
    • Fletcher, R., "A New Approach to Variable Metric Algorithms," Computer Journal, Vol. 13, No. 3, 1970, pp. 317-322.
    • (1970) Computer Journal , vol.13 , Issue.3 , pp. 317-322
    • Fletcher, R.1
  • 28
    • 84966251980 scopus 로고
    • A family of variable metric updates derived by variational means
    • Goldfarb, D., "A Family of Variable Metric Updates Derived by Variational Means," Mathematics of Computing, Vol. 24, 1970, pp. 23-26.
    • (1970) Mathematics of Computing , vol.24 , pp. 23-26
    • Goldfarb, D.1
  • 29
    • 84968497764 scopus 로고
    • Conditioning of Quasi-Newton methods for function minimization
    • Shanno, D. F., "Conditioning of Quasi-Newton Methods for Function Minimization," Mathematics of Computing, Vol. 24, No. 111, 1970, pp. 647-656.
    • (1970) Mathematics of Computing , vol.24 , Issue.111 , pp. 647-656
    • Shanno, D.F.1
  • 30
    • 0003982971 scopus 로고    scopus 로고
    • Springer Series in Operations Reseach, Springer-Verlag, New York
    • Nocedal, J., and Wright, S. J., Numerical Optimization, Springer Series in Operations Reseach, Springer-Verlag, New York, 1999.
    • (1999) Numerical Optimization
    • Nocedal, J.1    Wright, S.J.2
  • 31
    • 0007312235 scopus 로고    scopus 로고
    • Predicting the output from a complex computer code when fast approximations are available
    • Kennedy, M. C., and O'Hagan, A., "Predicting the Output from a Complex Computer Code When Fast Approximations Are Available," Biometrika, Vol. 87, No. 1, 2000, pp. 1-13.
    • (2000) Biometrika , vol.87 , Issue.1 , pp. 1-13
    • Kennedy, M.C.1    O'Hagan, A.2
  • 33
    • 84972517827 scopus 로고
    • Design and analysis of computer experiments
    • Sacks, J., Welch, W. J., Mitchell, T. J., and Wynn, H. P., "Design and Analysis of Computer Experiments," Statistical Science, Vol. 4, No. 4, 1989, pp. 409-423.
    • (1989) Statistical Science , vol.4 , Issue.4 , pp. 409-423
    • Sacks, J.1    Welch, W.J.2    Mitchell, T.J.3    Wynn, H.P.4
  • 34
    • 85086491742 scopus 로고    scopus 로고
    • Using gradients to construct cokriging approximation models for high-dimensional design optimization problems
    • Jan.
    • Chung, H.-S., and Alonso, J. J., "Using Gradients to Construct Cokriging Approximation Models for High-Dimensional Design Optimization Problems," AIAA Paper 2002-0317, Jan. 2002.
    • (2002) AIAA Paper , vol.2002 , Issue.317
    • Chung, H.-S.1    Alonso, J.J.2
  • 37
    • 0035659213 scopus 로고    scopus 로고
    • Kriging metamodels for global approximation in simulation-based multi-disciplinary design optimization
    • Simpson, T. W., Mauery, T. M., Korte, J. J., and Mistree, F., "Kriging Metamodels for Global Approximation in Simulation-Based Multi-disciplinary Design Optimization," AIAA Journal, Vol. 39, No. 12, 2001, pp. 2233-2241.
    • (2001) AIAA Journal , vol.39 , Issue.12 , pp. 2233-2241
    • Simpson, T.W.1    Mauery, T.M.2    Korte, J.J.3    Mistree, F.4
  • 38
    • 84983188136 scopus 로고    scopus 로고
    • A comparison of approximation modeling techniques: Polynomial versus interpolating models
    • Sept.
    • Giunta, A. A., and Watson, L. T., "A Comparison of Approximation Modeling Techniques: Polynomial Versus Interpolating Models," AIAA Paper 98-4758, Sept. 1998.
    • (1998) AIAA Paper , vol.98 , Issue.4758
    • Giunta, A.A.1    Watson, L.T.2
  • 43
    • 0000561424 scopus 로고    scopus 로고
    • Efficient global optimization of expensive black-box functions
    • Jones, D. R., Schonlau, M., and Welch, W. J., "Efficient Global Optimization of Expensive Black-Box Functions," Journal of Global Optimization, Vol. 13, No. 4, 1998, pp. 455-492.
    • (1998) Journal of Global Optimization , vol.13 , Issue.4 , pp. 455-492
    • Jones, D.R.1    Schonlau, M.2    Welch, W.J.3
  • 45
    • 34347235242 scopus 로고    scopus 로고
    • Experimental test results of Energy Efficient Transport (EET) high-lift airfoil in Langley low-turbulance pressure tunnel
    • Dec.
    • Morgan, H. L. J., "Experimental Test Results of Energy Efficient Transport (EET) High-Lift Airfoil in Langley Low-Turbulance Pressure Tunnel," NASA TM-2002-211780, Dec. 2002.
    • (2002) NASA TM-2002-211780
    • Morgan, H.L.J.1
  • 46
    • 0031192966 scopus 로고    scopus 로고
    • Parametric investigation of a high lift airfoil at high Reynolds numbers
    • Lin, J. C., and Dominik, C. J., "Parametric Investigation of a High Lift Airfoil at High Reynolds Numbers," Journal of Aircraft, Vol. 34, No. 4, 1997, pp. 485-491.
    • (1997) Journal of Aircraft , vol.34 , Issue.4 , pp. 485-491
    • Lin, J.C.1    Dominik, C.J.2
  • 48
    • 0028315726 scopus 로고
    • An implicit upwind algorithm for computing turbulent flows on unstructured grids
    • Anderson, W. K., and Bonhaus, D. L., "An Implicit Upwind Algorithm for Computing Turbulent Flows on Unstructured Grids," Computers and Fluids, Vol. 23, No. 1, 1994, pp. 1-21.
    • (1994) Computers and Fluids , vol.23 , Issue.1 , pp. 1-21
    • Anderson, W.K.1    Bonhaus, D.L.2
  • 49
    • 16144366198 scopus 로고    scopus 로고
    • Implicit/multigrid algorithms for incompressible turbulent flows on unstructured grids
    • Anderson, W. K., Rausch, R. D., and Bonhaus, D. L., "Implicit/Multigrid Algorithms for Incompressible Turbulent Flows on Unstructured Grids," Journal of Computational Physics, Vol. 128, No. 2, 1996, pp. 391-408.
    • (1996) Journal of Computational Physics , vol.128 , Issue.2 , pp. 391-408
    • Anderson, W.K.1    Rausch, R.D.2    Bonhaus, D.L.3
  • 50
    • 0030465581 scopus 로고    scopus 로고
    • Adaptive unstructured grid generation for viscous flow applications
    • Marcum, D. L., "Adaptive Unstructured Grid Generation for Viscous Flow Applications," AIAA Journal, Vol. 34, No. 11, 1996, p. 2440.
    • (1996) AIAA Journal , vol.34 , Issue.11 , pp. 2440
    • Marcum, D.L.1
  • 51
    • 16244375312 scopus 로고    scopus 로고
    • Advancing-Front/Local-Reconnection (AFLR) unstructured grid generation
    • edited by M. Hafez and K. Oshima, World Scientific
    • Marcum, D. L., "Advancing-Front/Local-Reconnection (AFLR) Unstructured Grid Generation," Computational Fluid Dynamics Review, edited by M. Hafez and K. Oshima, Vol. 1, World Scientific, 1998.
    • (1998) Computational Fluid Dynamics Review , vol.1
    • Marcum, D.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.