SOLUTION OF INVERSE HEAT CONDUCTION PROBLEMS USING AN EIGENVALUE REDUCTION TECHNIQUE
- 1 December 1986
- journal article
- research article
- Published by Taylor & Francis in Numerical Heat Transfer
- Vol. 10 (6) , 597-617
- https://doi.org/10.1080/10407788608913538
Abstract
The inverse heat conduction problem is one in which some of the slate variables are measured and the unknown heat fluxes are to be found. This paper describes the use of an eigenvalue analysis to reduce the order of the system in conjunction with dynamic programming, to estimate the heat fluxes. Several numerical experiments were performed on one- and two-dimensional problems to ascertain the effects of noise, weighting parameters, and reduction of modes on the solution.Keywords
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