RESEARCH PAPERS: Conduction Heat Transfer

A Global Time Treatment for Inverse Heat Conduction Problems

[+] Author and Article Information
J. I. Frankel, M. Keyhani

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

J. Heat Transfer 119(4), 673-683 (Nov 01, 1997) (11 pages) doi:10.1115/1.2824171 History: Received January 21, 1997; Revised August 11, 1997; Online December 05, 2007


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.

Copyright © 1997 by The American Society of Mechanical Engineers
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