A posteriori regularization method for the two-dimensional inverse heat conduction problem

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Abstract: In this article, we consider a two-dimensional inverse heat conduction problem that determines the surface temperature distribution from measured data at the fixed location. This problem is severely ill-posed, i.e., the solution does not depend continuously on the data. A quasi-boundary value regularization method in conjunction with the a posteriori parameter choice strategy is proposed to solve the problem. A Hölder-type error estimate between the approximate solution and its exact solution is also given. The error estimate shows that the regularized solution is dependent continuously on the data.

Location: Deutsche Nationalbibliothek Frankfurt am Main

Extent: Online-Ressource

Language: Englisch

Bibliographic citation: A posteriori regularization method for the two-dimensional inverse heat conduction problem ; volume:20 ; number:1 ; year:2022 ; pages:1030-1038 ; extent:9
Open mathematics ; 20, Heft 1 (2022), 1030-1038 (gesamt 9)

Creator: Cheng, Wei
Liu, Yi-Liang
Zhao, Qi

DOI: 10.1515/math-2022-0489

URN: urn:nbn:de:101:1-2022092414124936172342

Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.

Last update: 15.08.2025, 7:32 AM CEST

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Cheng, Wei
Liu, Yi-Liang
Zhao, Qi

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A posteriori regularization method for the two-dimensional inverse heat conduction problem

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