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Regularization procedure for two-dimensional steady heat conduction inverse problems

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Bibliographic Details
Title: Regularization procedure for two-dimensional steady heat conduction inverse problems
Authors: Wang, Denggang, Liu, Yingxi, Li, Shouju
Publisher Information: Jilin University, Changchun
Subject Terms: Other numerical methods (thermodynamics), steady inverse heat conduction problems, Inverse problems in thermodynamics and heat transfer, Tikhonov regularization method, numerical iterative algorithm
Description: Summary: A numerical iterative algorithm is presented to solve two-dimensional steady inverse heat conduction problems. The thermal conductivity of the material is estimated by using this approach on the background of the two-dimensional steady heat conduction with inner heat source. In the present algorithm, the Tikhonov regularization method is used in every iterative step to overcome the inherent ill-posedness in inverse problems. The numerical results show that the present approach is feasible and effective. It can be used to solve inverse problems which contain only one or more than one unknown parameter. This approach can be extended to solve multidimensional steady or instantaneous inverse heat conduction problems.
Document Type: Article
File Description: application/xml
Access URL: https://zbmath.org/1763918
Accession Number: edsair.c2b0b933574d..2bcf3926eec85773af27a6d7f4559c5c
Database: OpenAIRE
Description
Abstract:Summary: A numerical iterative algorithm is presented to solve two-dimensional steady inverse heat conduction problems. The thermal conductivity of the material is estimated by using this approach on the background of the two-dimensional steady heat conduction with inner heat source. In the present algorithm, the Tikhonov regularization method is used in every iterative step to overcome the inherent ill-posedness in inverse problems. The numerical results show that the present approach is feasible and effective. It can be used to solve inverse problems which contain only one or more than one unknown parameter. This approach can be extended to solve multidimensional steady or instantaneous inverse heat conduction problems.