Regularization procedure for two-dimensional steady heat conduction inverse problems

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Názov: Regularization procedure for two-dimensional steady heat conduction inverse problems
Autori: Wang, Denggang, Liu, Yingxi, Li, Shouju
Informácie o vydavateľovi: Jilin University, Changchun
Predmety: Other numerical methods (thermodynamics), steady inverse heat conduction problems, Inverse problems in thermodynamics and heat transfer, Tikhonov regularization method, numerical iterative algorithm
Popis: 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.
Druh dokumentu: Article
Popis súboru: application/xml
Prístupová URL adresa: https://zbmath.org/1763918
Prístupové číslo: edsair.c2b0b933574d..2bcf3926eec85773af27a6d7f4559c5c
Databáza: OpenAIRE
Popis
Abstrakt: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.