The Function Decomposition Method and its Application in Thermal Inverse Analysis

ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)

Volumn 1998-Q, Issue , 1998, Pages 117-129

  Osborne, G E ^a   Frankel, J I ^a   Keyhani, M ^a  

^a University of Tennessee   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AIRCRAFT ENGINES; GAS TURBINES; HEAT CONDUCTION;

BOUNDARY SURFACES; DESIGN PROBLEMS; DISCRETE DATA; FUNCTION DECOMPOSITION METHOD; ILL POSED; INVERSE ANALYSIS; ITS APPLICATIONS; SURFACE DATA; THERMAL; THERMAL DESIGNS;

INVERSE PROBLEMS;

EID: 1442352750     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/IMECE1998-0728     Document Type: Conference Paper

References (21)

1. Abramowitz, M. and I. A. Stegun (1972). Handbook of Mathematical Functions. New York: Dover.
2. Alifanov, 0. M. (1994). Inverse Heat Transfer Problems. New York: Springer-Verlag.
3. Beck, J. V., B. Blackwell, and C. R. St. Clair, Jr. (1985). Inverse Heat Conduction. New York: John Wiley and Sons Inc.
4. Buhmann, M. D. (1992). New developments in the theory of radial basis function interpolation. Multivariate Approximation and Wavelets, 1-39.
5. Delves, L. M. and J. L. Mohammad (1988). Computational Methods for Integral Equations. Cambridge, UK: Cambridge University Press.
6. Frankel, J. I. (1995). Cumulative variable formulation for transient conductive and radiative transport in participating media. Journal of Thermophysical Heat Transfer 9(2), 210-218.
7. Frankel, J. I. and M. Keyhani (1996). A new approach for solving inverse solidification design problems. Numerical Heat Transfer, Part B 30(2), 161-177.
8. Frankel, J. I. and M. Keyhani (1997). A global time treatment for inverse heat conduction problems. Journal of Heat Transfer 119(4), 673-683.
9. Frankel, J. I. and G. E. Osborne (1998). A new time treatment for solving partial-integro differential equations of radiative transport. IMA Journal of Numerical Analysis, in press.
10. Frankel, J. I., G. E. Osborne, and M. Keyhani (1998, May 30 - June 5). Thermal design aspects in inverse heat conduction. In Third International Conference on Dynamic System Identification and Inverse Problems, Moscow, Russia.
11. Golberg, M. A. and C. S. Chen (1997). Discrete Projection Methods for Integral Equations. Southampton, UK: Computational Mechanics Publications.
12. Gottlieb, D. and S. A. Orszag (1977). Numerical Analysis of Spectral Methods. Philadelphia, PA: SIAM.
13. Hale, S. W., M. Keyhani, and J. I. Frankel (1998a, November 15-20). Application of the Function De composition Method to the solidification design problem. In International Mechanical Engineering Congress and Exhibition, Anaheim, California.
14. Hale, S. W., M. Keyhani, and J. I. Frankel (1998b, May 30 - June 5). Thermal design aspects in inverse heat conduction. In Third International Conference on Dy namic System Identification and Inverse Problems, Moscow, Russia.
15. Hardy, R. L. (1990). Theory and applications of the multiquadric-biharmonic method. Computers Math. Applic. 19(8, 9), 163-208.
16. Kaya, A. C. and F. Erdogen (1987). On the solution of in tegral equations with strongly singular kernels. Quar terly of Applied Mathematics 4<5(1), 105-122.
17. Kurpisz, K. and A. J. Nowak (1995). Inverse Thermal Pi'oblems. Southampton, UK: Computational Me chanics Publications.
18. Orszag, S. A. (1971). Accurate solution of the Orr- Sommerfeld stability equation. Joxirnal of Fluid Me chanics 50(4), 689-703.
19. Ozisik, M. N. (1993). Heat Conduction. New York: John Wiley and Sons Inc.
20. Trujillo, D. M. and H. R. Busby (1997). Practical Inverse Analysis in Engineering. New York: CRC Press.
21. Wing, G. M. (1991). A Primer on Integral Equations of the First Kind. Philadelphia, PA: SIAM.