Stability analysis for inverse heat conduction problems

Xianwu Ling, S. N. Atluri

Research output: Contribution to journalReview articlepeer-review

50 Scopus citations


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.

Original languageEnglish
Pages (from-to)219-228
Number of pages10
JournalCMES - Computer Modeling in Engineering and Sciences
Issue number3
StatePublished - 2006


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