Solution of inverse heat conduction problem using the Tikhonov regularization method

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• 作者：Piotr Duda
• 关键词：inverse problems ; heat conduction ; identification
• 刊名：Journal of Thermal Science
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：26
• 期：1
• 页码：60-65
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Classical and Continuum Physics; Engineering Fluid Dynamics; Engineering Thermodynamics, Heat and Mass Transfer;
• 出版者：Science Press
• ISSN：1993-033X
• 卷排序：26

文摘

It is hard to solve ill-posed problems, as calculated temperatures are very sensitive to errors made while calculating “measured” temperatures or performing real-time measurements. The errors can create temperature oscillation, which can be the cause of an unstable solution. In order to overcome such difficulties, a variety of techniques have been proposed in literature, including regularization, future time steps and smoothing digital filters. In this paper, the Tikhonov regularization is applied to stabilize the solution of the inverse heat conduction problem. The impact on the inverse solution stability and accuracy is demonstrated.