BEM solution with minimal energy technique for the geometrical inverse heat conduction problem in a doubly connected domain

Journal of Pressure Vessel Technology, Transactions of the ASME

Volumn 125, Issue 1, 2003, Pages 109-117

  Choi, Chang Yong ^a   Chull Jo, Jong ^b  

^a Jeonju University   (South Korea)

^b Korea Institute of Nuclear Safety (KINS)   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY ELEMENT METHOD; ERROR ANALYSIS; NONDESTRUCTIVE EXAMINATION; QUADRATIC PROGRAMMING; SURFACE PHENOMENA;

ENERGY TECHNIQUE;

HEAT CONDUCTION;

EID: 0037328141     PISSN: 00949930     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1523890     Document Type: Article

References (26)

1. Kurpisz, K., and Nowak, A. I., 1995, Inverse Thermal Problems, Computational Mechanics Publications, Southamption, UK.
2. Martin, T. J., and Dulikravich, G. S., 1996, "Inverse Determination of Boundary Conditions and Sources in Steady Heat Conduction with Heat Generation," ASME J. Heat Transfer, 118, pp. 546-554.
3. Huang, C. H., and Chen, C. W., 1998, "A Boundary-Element-Based Inverse Problem of Estimating Boundary Conditions in an Irregular Domain with Statistical Analysis," Numer. Heat Transfer, Part B, 33, pp. 251-268.
4. Dulikravich, G. S., 1988, "Inverse design and Active Control Concepts in Strong Unsteady Heat Conduction," Appl. Mech. Rev., 41, pp. 270-277.
5. Stanitz, J. D., 1988, "A Review of Certain Inverse Methods for the Design of Ducts with 2- or 3-Dimensional Potential Flow," Appl. Mech. Rev., 41, pp. 217-238.
6. Huang, C. H., and Yan, J. Y., 1995, "An Inverse Problem in Simultaneously Measuring Temperature Dependent Thermal Conductivity and Heat Capacity," Int. J. Heat Mass Transf., 38, pp. 3433-3441.
7. Gaussorgues, G., 1994, Infrared Thermography, Chapman & Hall, London, UK.
8. Kassab, A. J., Pollard, J., Hsieh, C. K., and Chew, L. C., 1995, "BEM Solution of the Inverse Geometric Problem-Experimental Results," Boundary Elements XVII, eds., S. Kim, T. A. Oswald, and H. Power, Computational Mechanics Publications, Boston, MA, pp. 323-329.
9. Maldague, X., 1992, Nondestructive Evolution of Materials by Infrared Thermography, Springer-Verlag, New York, NY.
10. Vavilov, V. P., 1994, "Advances in Signal Inversion with Applications to Infrared Thermography," Advances in Signal Processing for Nondestructive Evaluation of Materials, X. P. V. Maldague, ed., Kluwer Academics Publishers, Dordrecht, The Netherlands, pp. 161-184.
11. Beck, J. V., Blackwell, B., and St. Clair, C. R., 1985, Inverse Heat Conduction III-Posed Problems, Wiley-Interscience, New York, NY.
12. Tikhonov, A. N., and Arsenin, V. Y., 19877, Solutions of Ill-Posed Problems, Winston & Sons, Washington, DC.
13. Ozisik, M. N., 1993, Heat Conduction, 2nd Ed., John Wiley & Sons, New York, NY.
14. Brebbia, C. A., Telles, J. E., and Wrobel, L. C., 1984, Boundary Element Techniques, Springer-Verlag, New York, NY.
15. Kassab, A. J., and Pollard, J. E., 1993, "Automated Algorithms for the Non-destructive Detection of Subsurface Cavities by the IR-CAT Method," J. Non-destruct. Eval., 12, pp. 175-187.
16. Meric, R. A., 1988, "Shape Optimization and Identification of Solid Geometrics Considering Discontinuities," ASME J. Heat Transfer, 110, pp. 544-550.
17. Shau, R., Batista, J., and Carey, G. F., 1990, "An Improved Algorithm for Inverse Design of Thermal Problems with Multiple Materials," ASME J. Heat Transfer, 112, pp. 274-279.
18. Choi, C. Y., and Kim, H. G., 1996, "Boundary Element Solutions of the Geometrical Inverse Heat Conduction Problems Using Regularization Procedure," Proc. 2nd European Thermal-Sciences and 14th UTT National Heat Transfer Conferences, vol. 2, pp. 1089-1095.
19. Huang, C. H., and Chao, B. H., 1997, "An Inverse Geometry Problem in Identifying Irregular Boundary Configurations," Int. J. Heat Mass Transf., 40(9), pp. 2045-2053.
20. Huang, C. H., and Chen, H. M., 1999, "Inverse Geometry Problem of Identifying Growth of Boundary Shapes in a Multiple Region Domain," Numer. Heat Transfer, Part A, 35, pp. 435-450.
21. Ingham, D. B., and Yuan, Y., 1994, The Boundary Element Method for Solving Improperly Posed Problems, Computational Mechanics Publications, Southampton, UK.
22. Ingham, D. B., and Yuan, Y., 1994, "Boundary Element Solutions of the Steady State, Singular, Inverse Heat Transfer Equation," Int. J. Heat Mass Transf., 37, Suppl. 1, pp. 273-280.
23. Hsieh, C. K., Choi, C. Y., and Liu, K. M., 1989, "Domain-Extension Method for Quantitative Detection of Cavities by Infrared Scanning," J. Nondestruct. Eval., 8 pp. 195-211.
24. Reddy, J. N., 1984, An Introduction to the Finite Element Method, McGraw-Hill, New York, NY.
25. Hildebrand, F. B., 1976, Advanced Calculus for Applications, 2nd Edition, Prentice-Hall, Englewood Cliffs, NJ.
26. IMSL Library, 1997, Visual Numerics, Inc., 9990 Richmond Avenue, Suite 400, Houston, TX 77042.