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Volumn 38, Issue 4, 2006, Pages 407-424

Global response approximation with radial basis functions

Author keywords

Augmented; Compactly supported; Global response; Metamodeling; Radial basis functions; Response surface methodology

Indexed keywords

APPROXIMATION THEORY; FUNCTION EVALUATION; NONLINEAR SYSTEMS; NUMERICAL METHODS; POLYNOMIAL APPROXIMATION; QUADRATIC PROGRAMMING;

EID: 33646426415     PISSN: 0305215X     EISSN: 10290273     Source Type: Journal    
DOI: 10.1080/03052150500422294     Document Type: Article
Times cited : (222)

References (19)
  • 1
    • 0031998787 scopus 로고    scopus 로고
    • A trust region framework for managing the use of approximation models in optimization
    • 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. Struct. Optim., 1998, 15, 16-23.
    • (1998) Struct. Optim. , vol.15 , pp. 16-23
    • Alexandrov, N.M.1    Dennis, J.E.2    Lewis, R.M.3    Torczon, V.4
  • 2
    • 0000137128 scopus 로고
    • A widely convergent method for finding multiple solutions of simultaneous nonlinear equations
    • Branin, F.K., A widely convergent method for finding multiple solutions of simultaneous nonlinear equations. IBM J. Res. Dev., 1972, 16, 504-522.
    • (1972) IBM J. Res. Dev. , vol.16 , pp. 504-522
    • Branin, F.K.1
  • 3
    • 33646399273 scopus 로고    scopus 로고
    • HiPPO: An object-oriented framework for general-purpose design optimization
    • AIAA
    • Fang, H. and Horstemeyer, M.F., HiPPO: an object-oriented framework for general-purpose design optimization. J. Aerospace Comput., Information, Communication (AIAA), 2005, 2(12), 490-506.
    • (2005) J. Aerospace Comput., Information, Communication , vol.2 , Issue.12 , pp. 490-506
    • Fang, H.1    Horstemeyer, M.F.2
  • 5
    • 84968502573 scopus 로고
    • On descent from local minima
    • Goldstein, A.A. and Price, I.F., On descent from local minima. Math. Comput., 1971, 25, 571.
    • (1971) Math. Comput. , vol.25 , pp. 571
    • Goldstein, A.A.1    Price, I.F.2
  • 6
    • 0019563313 scopus 로고
    • Generalized descent for global optimization
    • Griewank, A.O., Generalized descent for global optimization. J. Optim. Theory Applic., 1981, 34, 11-39.
    • (1981) J. Optim. Theory Applic. , vol.34 , pp. 11-39
    • Griewank, A.O.1
  • 7
    • 0001018295 scopus 로고
    • Multiquadratic equations of topography and other irregular surfaces
    • Hardy, R.L., Multiquadratic equations of topography and other irregular surfaces. J. Geophys., 1971, 76, 1905-1915.
    • (1971) J. Geophys. , vol.76 , pp. 1905-1915
    • Hardy, R.L.1
  • 8
    • 0036532658 scopus 로고    scopus 로고
    • Metamodeling: Radial basis functions versus polynomials
    • Hussain, M.F., Barton, R.R. and Joshi, S.B., Metamodeling: radial basis functions versus polynomials. Eur. J. Oper. Res., 2002, 138(1), 142-154.
    • (2002) Eur. J. Oper. Res. , vol.138 , Issue.1 , pp. 142-154
    • Hussain, M.F.1    Barton, R.R.2    Joshi, S.B.3
  • 9
    • 0035727744 scopus 로고    scopus 로고
    • Comparative studies of metamodelling techniques under multiple modeling criteria
    • Jin, R., Chen, W. and Simpson, T.W., Comparative studies of metamodelling techniques under multiple modeling criteria. Struct. Multidisc. Optim., 2001, 23(1), 1-13.
    • (2001) Struct. Multidisc. Optim. , vol.23 , Issue.1 , pp. 1-13
    • Jin, R.1    Chen, W.2    Simpson, T.W.3
  • 12
    • 1842685570 scopus 로고    scopus 로고
    • Comparison of global and local response surface techniques in reliability-based optimization of composite structures
    • Rais-Rohani, M. and Singh, M.N., Comparison of global and local response surface techniques in reliability-based optimization of composite structures. Struct. Multidisc. Optim., 2004, 26(5), 333-345.
    • (2004) Struct. Multidisc. Optim. , vol.26 , Issue.5 , pp. 333-345
    • Rais-Rohani, M.1    Singh, M.N.2
  • 13
    • 0010883455 scopus 로고    scopus 로고
    • Trust region augmented Lagrangian methods for sequential response surface approximation and optimization
    • Paper No. DETC97/DAC3773, Sacramento, CA
    • Rodriguez, J., Renaud, J.E. and Watson, L.T., Trust region augmented Lagrangian methods for sequential response surface approximation and optimization, in Proceedings of DETC '97 ASME Design Engineering Technical Conference, Paper No. DETC97/DAC3773, 1997, Sacramento, CA.
    • (1997) Proceedings of DETC '97 ASME Design Engineering Technical Conference
    • Rodriguez, J.1    Renaud, J.E.2    Watson, L.T.3
  • 15
    • 1542712617 scopus 로고    scopus 로고
    • Parameter optimization in multiquadric response surface approximation
    • Wang, B.P., Parameter optimization in multiquadric response surface approximation. Struct. Multidisc. Optim., 2004, 26(3/4), 219-223.
    • (2004) Struct. Multidisc. Optim. , vol.26 , Issue.3-4 , pp. 219-223
    • Wang, B.P.1
  • 16
    • 0012981186 scopus 로고    scopus 로고
    • Adaptive response surface method - A global optimization scheme for approximation-based design problems
    • Wang, G., Dong, Z. and Aitchison, P., Adaptive response surface method - a global optimization scheme for approximation-based design problems. Eng. Optim., 2001, 33, 707-734.
    • (2001) Eng. Optim. , vol.33 , pp. 707-734
    • Wang, G.1    Dong, Z.2    Aitchison, P.3
  • 17
    • 0032687456 scopus 로고    scopus 로고
    • On the smoothness of positive definite and radial functions
    • Wendland, H., On the smoothness of positive definite and radial functions. J. Comput. Appl. Math., 1999, 101, 177-188.
    • (1999) J. Comput. Appl. Math. , vol.101 , pp. 177-188
    • Wendland, H.1
  • 18
    • 0000136089 scopus 로고
    • Compactly supported positive definite radial function
    • Wu, Z., Compactly supported positive definite radial function. Adv. Comput. Math., 1995, 4, 283-292.
    • (1995) Adv. Comput. Math. , vol.4 , pp. 283-292
    • Wu, Z.1
  • 19
    • 0036747856 scopus 로고    scopus 로고
    • Managing approximation models in multi-objective optimization
    • Yang, B.S., Yeun, Y.S. and Ruy, W.S., Managing approximation models in multi-objective optimization. Struct. Multidisc. Optim., 2002, 24(2), 141-156.
    • (2002) Struct. Multidisc. Optim. , vol.24 , Issue.2 , pp. 141-156
    • Yang, B.S.1    Yeun, Y.S.2    Ruy, W.S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.