A Global Time Treatment for Inverse Heat Conduction Problems-Reference-Cited by-同舟云学术

A Global Time Treatment for Inverse Heat Conduction Problems

Published:1997-11-01 Issue:4 Volume:119 Page:673-683
ISSN:0022-1481
Container-title:Journal of Heat Transfer
language:en
Short-container-title:

Author:

Frankel J. I.¹,Keyhani M.¹

Affiliation:

1. Mechanical and Aerospace Engineering and Engineering Sciences Department, University of Tennessee, Knoxville, TN 37966-2210

Abstract

A new global time treatment is proposed and demonstrated for inverse heat conduction problems. This exposition illustrates the methodology by carefully and meticulously investigating the classic Beck’s problem. It is shown that accurate and stable numerical results occur without resorting to any stabilizing scheme beyond the implementation of a global basis representation for the temperature distribution. As a global time method the entire space-time domain is resolved in a simultaneous fashion. The approach is also extendable to multidimensional and multiprobe situations without difficulty. In direct problems the method has been successively applied to initial value problems, Volterra integral equations, and parabolic and hyperbolic partial and integro-partial differential equations.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science

Link

http://asmedigitalcollection.asme.org/heattransfer/article-pdf/119/4/673/5911144/673_1.pdf

Reference14 articles.

1. Beck, J. V., Blackwell, B., and St. Clair, C. R., 1985, Inverse Heat Conduction, John Wiley & Sons Inc., New York.

2. Delves, L. M., and Mohamad, J. L., 1988, Computational Methods for Integral Equations, Cambridge University Press, Cambridge, MA.

3. Finlayson, B. A., 1972, The Method of Weighted Residuals and Variational Principles, Academic Press, New York.

4. Frankel J. I. , 1995a, “A Galerkin Solution to a Regularized Cauchy Singular Integro-Differential Equation,” Quart. Appl. Math., Vol. 53, pp. 245–258.

5. Frankel J. I. , 1995b, “Cumulative Variable Formulation for Transient Conductive and Radiative Transport in Participating Media,” J. Thermophys. Heat Transfer, Vol. 9, pp. 210–218.

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