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Stability analysis for inverse heat conduction problems

Xianwu Ling1, S.N. Atluri1

Center for Aerospace Research and Education, University of California at Irvine 5251 California Ave., Suite 140, Irvine, CA 92612

Computer Modeling in Engineering & Sciences 2006, 13(3), 219-228.


In this paper, two matrix algebraic tools are provided for studying the solution-stabilities of inverse heat conduction problems. The propagations of the computed temperature errors, as caused by a noise in temperature measurement, are presented. The spectral norm analysis reflects the effect of the computational time steps, the sensor locations and the number of future temperatures on the computed error levels. The Frobenius norm analysis manifests the dynamic propagations of the computed errors. As an application of the norm analysis, we propose a method for the best positioning of the thermocouples.

Cite This Article

Ling, X., Atluri, S. (2006). Stability analysis for inverse heat conduction problems. CMES-Computer Modeling in Engineering & Sciences, 13(3), 219–228.

cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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