Wavelet application for reduction of measurement noise effects in inverse boundary heat conduction problems

International Journal of Numerical Methods for Heat and Fluid Flow

Volumn 18, Issue 2, 2008, Pages 217-236

  Ahmadi Noubari, H ^a   Pourshaghaghy, A ^a   Kowsary, F ^a   Hakkaki Fard, A ^a  

^a UNIVERSITY OF TEHRAN   (Iran)

Author keywords

Heat conduction; Waveforms

Indexed keywords

HEAT CONDUCTION; INVERSE PROBLEMS; SIGNAL ANALYSIS; WAVEFORM ANALYSIS;

SIGNAL DECOMPOSITION; WAVELET DENOISING ALGORITHM;

WAVELET TRANSFORMS;

HEAT CONDUCTION; INVERSE PROBLEMS; SIGNAL ANALYSIS; WAVEFORM ANALYSIS; WAVELET TRANSFORMS;

EID: 41149129739     PISSN: 09615539     EISSN: None     Source Type: Journal    
DOI: 10.1108/09615530810846356     Document Type: Article

References (27)

1. Al-Khalidy, N. (1998), "On the solution of parabolic and hyperbolic inverse heat conduction problems", International Journal of Heat and Mass Transfer, Vol. 41, pp. 3731-40.
2. Alifanov, O.M. (1994), Inverse Heat Transfer Problems, Springer-Verlag, Berlin.
3. Anderson, D.A., Tannehill, J.C. and Pletcher, R.H. (1984), Computational Fluid Mechanics and Heat Transfer, Hemisphere Publishing Corp., Warsaw.
4. Beck, J.V., Blackwell, B. and Clair, C.R. (1985), Inverse Heat Conduction, Wiley, New York, NY.
5. Burrus, C.S., Guo, H. and Gopinath, R.A. (1997), Introduction To Wavelets & Wavelet Transforms: A Primer, Prentice-Hall, Englewood Cliffs, NJ.
6. Chen, U.C., Chang, W.J. and Hsu, J.C. (2001), "Two-dimensional inverse problem in estimating heat flux of pin fins", International Communications in Heat and Mass Transfer, Vol. 28 No. 6, pp. 793-801.
7. Donoho, L.D. (1993), "Nonlinear wavelet methods for recovery of signals, densities, and spectra from indirect and noisy data", Different Perspectives on Wavelets, Proceeding of Symposia in Applied Mathematics, Vol. 47, Amer. Math. Soc., Providence, RI, pp. 173-205.
8. Donoho, L.D. (1995), "Denoising by soft thresholding", IEEE Trans on Information Theory, Vol. 41 No. 3, pp. 613-27.
9. Donoho, L.D. and Johnstone, I.M. (1991), Minimax Estimation via Wavelet Shrinkage, Dept of Statistics, Stanford University, Stanford, CA.
10. Donoho, L.D. and Johnstone, I.M. (1995), "Adapting to unknown smoothness via wavelet shrinkage", Journal of American Stat. Assoc., Vol. 90, pp. 1200-24.
11. Huang, C.H. and Chen, W.C. (2000), "A three dimensional inverse forced convection problem in estimating surface heat flux by conjugate gradient method", International Journal of Heat and Mass Transfer, Vol. 43, pp. 3171-81.
12. Ji, C. and Jang, H. (1998), "Experimental investigation in inverse heat conduction problem", Numerical Heat Transfer, Part A, Vol. 34, pp. 75-91.
13. Kalman, R.E. (1960), "A new approach to linear filtering and prediction problems", ASME Journal Basic Eng., pp. 35-45, Ser. 82d.
14. Kowsary, F., Behbahaninia, A. and Pourshaghaghy, A. (2006), "Transient heat flux function estimation utilizing the variable metric method", International Communications in Heat and Mass Transfer, Vol. 33 No. 6, pp. 800-10.
15. Linhua, L., Heping, T. and Qizheng, Y. (1999), "Inverse radiation problem of temperature field in three-dimensional rectangular furnace", International Communications Heat and Mass Transfer, Vol. 26 No. 2, pp. 239-48.
16. Louahlia-Gualous, H., Panday, P.K. and Artioukhine, E.A. (2003), "Inverse determination of the local heat transfer coefficients for nucleate boiling on a horizontal cylinder", ASME Journal of Heat Transfer, Vol. 125, pp. 1087-95.
17. Machado, H.A. and Orlande, H.R.B. (1997), "Inverse analysis for estimating the timewise and spacewise variation of the wall heat flux in a parallel plate channel", International Journal for Numerical Methods for Heat & Fluid Flow, Vol. 7 No. 7, pp. 696-710.
18. Mallat, S. (1989), "A theory for multiresolution signal decomposition: the wavelet representation", IEEE Pattern Anal. and Machine Intell., Vol. 11 No. 7, pp. 674-93.
19. Ozisic, M.N. and Orlande, H.R.B. (2000), Inverse Heat Transfer, Fundamentals and Applications, Taylor & Francis, New York, NY.
20. Pourshaghaghy, A., Kowsary, F. and Behbahaninia, A. (2007), "Comparison of four different versions of the variable metric method for solving inverse heat conduction problems", Heat and Mass Transfer, Vol. 43 No. 3, pp. 285-94.
21. Prud'homme, M. and Nguyen, T.H. (2001), "Solution of inverse free convection problems by conjugate gradient method: effects of Rayleigh number", International Journal of Heat and Mass Transfer, Vol. 44, pp. 2011-27.
22. Rao, S.S. (1995), Optimization, Theory and Applications, 2nd ed., New Age International (P) Limited Publishers, New Delhi, 9th reprint.
23. Singh, K.M. and Tanaka, M. (2001), "Dual reciprocity boundary element analysis of inverse heat conduction problems", Computer Methods in Applied Mechanics and Engineering, Vol. 190, pp. 5283-95.
24. Strang, G. and Nguyen, T. (1996), Wavelets and Filter Banks, Wellesley-Cambridge Press, Wellesley, MA.
25. Tuan, P. and Ju, M.C. (2000), "The validation of the robust input estimation approach to two dimensional inverse heat conduction problems", Numerical Heat Transfer, Part B, Vol. 37, pp. 247-65.
26. Tuan, P., Ji, C., Fong, L. and Huang, W. (1996), "An input estimation to on-line two dimensional inverse heat conduction problems", Numerical Heat Transfer, Part B, Vol. 29, pp. 345-63.
27. Woodbury, K.A. (2003), Inverse Engineering Handbook, CRC Press, Boca Raton, FL.