On the exploitation of sensitivity derivatives for improving sampling methods

Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

Volumn 3, Issue , 2003, Pages 2329-2337

  Cao, Yanzhao ^a   Hussaini, M Yousuff ^b   Zang, Thomas A ^c  

^a FLORIDA A AND M UNIVERSITY   (United States)

^b FLORIDA STATE UNIVERSITY   (United States)

^c NASA LANGLEY RESEARCH CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CORRELATION METHODS; FINITE ELEMENT METHOD; FUNCTIONS; INTEGRAL EQUATIONS; MONTE CARLO METHODS; PROBABILITY DENSITY FUNCTION; SAMPLING; STRUCTURAL ANALYSIS; THEOREM PROVING; WINGS;

BURGERS EQUATION; SENSITIVITY DERIVATIVES; VARIANCE REDUCTION METHOD;

AEROSPACE ENGINEERING;

EID: 0042512112     PISSN: 02734508     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2003-1656     Document Type: Conference Paper

References (12)

1. Y. Cao, M. Y. Hussaini and T. A. Zang, An efficient Monte Carlo method for optimal control problems with uncertainty, Comp. Opt. and Appl., in press.
2. G. S. Fishman, Monte Carlo: Concepts, Algorithms, and Applications, Springer-Verlag, 1996.
3. J. S. Liu, Monte Carlo Strategies in Scientific Computing, Springer-Verlag, 2001.
4. O. O. Storaasli, D. T. Nguyen, M. A. Baddourah and J. Qin, Computational mechanics analysis tools for parallel-vector supercomputers, Comput. Sys. Eng., Vol. 4, No. 4-6, pp. 349-354, 1993.
5. A. Carle, M. Fagan and L. L. Green, Preliminary results from the application of automated adjoint code generation to CFL3D, AIAA paper AIAA-98-4807, 1998.
6. P. Sundaram, S. Agrawal and J. O. Hager, Aerospace vehicle MDO shape optimization using ADIFOR 3.0 gradients, AIAA paper AIAA-2000-4733, 2000.
7. R. W. Walters and L. Huyse, Uncertainty analysis for fluid mechanics with applications, NASA/CR 2002-211449, January, 2002.
8. C. R. Gumbert, G. J.-W. Hou and P. A. Newman, Simultaneous aerodynamic and structural design optimization (SASDO) for a 3-D wing, AIAA paper AIAA-2001-2527, 2001.
9. G. Hou, S. Arunkumar and N. S. Tiwari, First- and second-order sensitivity analysis of finite element equations via automatic differentiation, AIAA paper AIAA-98-4764, 1998.
10. C. R. Gumbert, P. A. Newman and G. J.-W. Hou, Effect of random geometric uncertainty on the computational design of a 3-D flexible wing, AIAA paper AIAA-2002-2806, 2002.
11. L. Sherman, A. Taylor, L. Green, P. Newman, G. Hou and M. Korivi, First- and second-order aerodynamic sensitivity derivatives via automatic differentiation with incremental iterative methods, J. Comp. Phys., Vol.129, pp. 307-336, 1996.
12. A. C. Taylor III, L. L. Green, P. A. Newman, and M. M. Putko, Some advanced concepts in discrete aerodynamic sensitivity analysis, AIAA paper AIAA-2001-2529, 2001.