Variable-fidelity optimization: Efficiency and robustness

Optimization and Engineering

Volumn 7, Issue 4, 2006, Pages 479-500

  Marduel, Xavier ^a   Tribes, Christophe ^a   Trépanier, Jean Yves ^a  

^a ÉCOLE POLYTECHNIQUE DE MONTRÉAL   (Canada)

Author keywords

Approximation management framework; CFD solvers; Numerical noise; Optimization; Variable fidelity

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTATIONAL FLUID DYNAMICS; MANAGEMENT; MATHEMATICAL MODELS; OPTIMIZATION; ROBUSTNESS (CONTROL SYSTEMS);

APPROXIMATION MANGEMENT FRAMEWORK; NUMERICAL NOISE; VARIABLE FIDELITY;

OPERATIONS RESEARCH;

EID: 33751549511     PISSN: 13894420     EISSN: 15732924     Source Type: Journal    
DOI: 10.1007/s11081-006-0351-3     Document Type: Article

References (31)

1. Alexandrov NM (1996) Robustness properties of a trust region framework for managing approximations in engineering optimization. In: 6th AIAA/ NASA/USAF/ISSMO symp on multidisciplinary analysis and optimization, AIAA 1996-4102, Bellevue, WA
2. Alexandrov NM (1998) On managing the use of surrogates in general nonlinear optimization and MDO. In: 7th AIAA/NASA/USAF/ISSMO symp on multidisciplinary analysis and optimization. AIAA 1998-4798, St. Louis, MO
3. Alexandrov NM, Dennis JE Jr, Lewis RM, Torczon V (1997) A trust region framework for managing the use of approximation models in optimization. ICASE, Technical Report 97-50
4. Alexandrov NM, Lewis RM, Gumbert CR, Green LL, Newman PA (2000) Optimization with variable-fidelity models applied to wing design. In: AIAA 38th aerospace sciences meeting and exhibit. AIAA 2000-0841, Reno, NV
5. Alexandrov NM, Nielsen EJ, Lewis RM, Anderson WK (2000) First-order model management with variable-fidelity physics applied to multi-element airfoil optimization. In: 8th AIAA/NASA/USAF/ISSMO symp on multidisciplinary analysis and optimization. AIAA 2000-4886, Long Beach, CA
6. Alexandrov NM, Lewis RM (2000) First-order frameworks for managing models in engineering optimization. In: 1st Int workshop on surrogate modelling and space mapping for engineering optimization. Lyngby, Denmark
7. Alexandrov NM, Lewis RM, Gumbert CR, Green LL, Newman PA (2001) Approximation and model management in aerodynamic optimization with variable-fidelity models. J Aircraft 38(6):1093-1101
8. Barthelemy J-FM, Haftka RT (1993) Approximation concepts for optimal structural design. Struct Optim 5(3):129-144
9. Bauer F, Garabedian P, Korn D (1977) Supercritical wing section 3, Springer-Verlag, Berlin, Germany
10. Chang KJ, Haftka RT, Giles GL, Kao PJ (1993) Sensitivity-based scaling for approximating structural response. J Aircraft 30:283-288
11. Conn AR, Gould NIM, Toint PL (2000) Trust-region methods. MPS/SIAM series on optimization, SIAM, Philadelphia, PA
12. Dennis JE Jr, Schnabel RB (1983) Numerical methods for unconstrained optimization and nonlinear equations. Prentice-Hall, Englewood Cliffs, NJ
13. Dennis JE Jr, Torczon V (1995) Managing approximation models in optimization. In: Multidisciplinary design optimization - state-of-the-art, Proceedings of the ICASE/NASA langley workshop on multidisciplinary design optimization, Hampton, VA
14. Egorov IN, Kretinin GV, Leshchenko IA, Kuptzov SV (2002) IOSO optimization toolkit-novel software to create better design. In: 9th AIAA/ISSMO symposium on multidisciplinary analysis and optimization. AIAA 2002-5514, Atlanta, GA
15. Gay DM (1982) On convergence testing in model/trust-region algorithms for unconstrained optimization. Compu. Sci. Techn. Report 104, Bell Laboratories
16. Haftka RT (1991) Combining global and local approximations. AIAA J 29(9):1523-1525
17. Lépine J, Guibault F, Trépanier J-Y, Pépin F (2001) Optimized nonuniform rational B-spline geometrical representation for aerodynamic design of wings. AIAA J 39(11):2033-2041
18. Lewis RM (1996) A trust region framework for managing approximation models in engineering optimization. In: 6th AIAA/NASA/USAF/ISSMO symp on multidisciplinary analysis and optimization. AIAA 1996-4101, Bellevue, WA
19. Lewis RM, Nash SG (2000) A multigrid approach to the optimization of systems governed by differential equations. In: 8th AIAA/NASA/USAF/ISSMO symp on multidisciplinary analysis and optimization. AIAA 2000-4890, Long Beach, CA
20. Marduel X (2002) Optimisation à fidelité variable, Master's thesis, École polytechnique de Montréal
21. Marduel X, Tribes C, Trépanier J-Y (2002) Optimization using variable fidelity solvers: Exploration of an approximation management framework for aerodynamic shape optimization. In: 9th AIAA/ISSMO symp on multidisciplinary analysis and optimization. AIAA 2002-5595, Atlanta, GA
22. Mavriplis DJ (1996) A CFD package for multi-element airfoil high-lift analysis. Scientific Simulation, Yorktown, VA
23. Mohammadi B (1994) Fluid dynamics computation with NSC2KE, an user-guide, Release 1.0. Technical Report RT-0164, Institut National de Recherche en Informatique et en Automatique, France
24. Mohammadi B, Pironneau O (1994) Analysis of the K-epsilon turbulence model. John Wiley & Sons and Masson Ltd, Chichester, UK
25. Moré JJ (1983) Mathematical programming: The state of the art. Chapt Recent Developments in Algorithms and Software for Trust Region Methods, Springer-Verlag
26. Powell MJD (1975) Nonlinear programming. 2nd Edn, Chapt convergence Properties of a Class of Minimization Algorithms. Academic Press, New York, pp 1-27
27. Schmit LA, Farshi B (1974) Some approximation concepts for structural synthesis. AIAA J 12(5):692-699
28. Schmit LA, Fleury C (1980) Structural synthesis by combining approximation concepts and dual methods. AIAA J 18(10):1252-1260
29. Schmit LA, Miura H (1976) Approximation concepts for efficient structural synthesis. Technical Report CR-2552, NASA
30. Spellucci P (1999) DONLP2 Short users guide. Program and user's guide available as donlp2.tar at ftp://plato.la.asu.edu/pub/donlp2/
31. Tribes C, Trépanier J-Y (2001) Airfoil shape optimization. In: CSME-MDE, international conference on multidisciplinary design in engineering. Montréal, QC, Canada