A modified Tikhonov regularization method for a spherically symmetric three-dimensional inverse heat conduction problem

This paper deals with a spherically symmetric three-dimensional inverse heat conduction problem of determining the internal surface temperature distribution of a hollow sphere from the measured data at a fixed location inside it. This is an ill-posed problem, i.e., the solution (if it exists) does not depend continuously on the data. A modified Tikhonov regularization method is given and an order optimal stability estimate is obtained.

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Year of publication:	2007
Authors:	Cheng, Wei ; Fu, Chu-Li ; Qian, Zhi
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 75.2007, 3, p. 97-112
Publisher:	Elsevier
Subject:	Ill-posed problem \| Spherically symmetric inverse heat conduction problem \| Regularization \| Error estimate

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010748761