Mathematical and numerical modeling of inverse heat conduction problem

Mathematical and numerical modeling of inverse heat conduction problem

The present paper refers to the assessment of three numerical methods for solving the inverse heat conduction problem: the Alifanov’s iterative regularization method, the Tikhonov local regularization method and the Tikhonov equation regularization method, respectively. For all methods we developed...

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Main Authors: Sterian DANAILA, Alina-Ioana CHIRA
Format: Article
Language:English
Published: National Institute for Aerospace Research “Elie Carafoli” - INCAS 2014-12-01
Series:INCAS Bulletin
Subjects:
direct problem
inverse problem
Alifanov’s regularization
Tikhonov regularization
conjugate gradient
heat conduction
Online Access:http://bulletin.incas.ro/files/danaila__chira__vol_6_iss_4.pdf
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spelling doaj-77b63d5bcd3d410cbdb1edba897f752c2020-11-24T22:40:38ZengNational Institute for Aerospace Research “Elie Carafoli” - INCASINCAS Bulletin2066-82012247-45282014-12-0164233910.13111/2066-8201.2014.6.4.3Mathematical and numerical modeling of inverse heat conduction problemSterian DANAILA0Alina-Ioana CHIRA1Faculty of Aerospace Engineering, “POLITEHNICA” University of Bucharest Polizu no.1-6, RO-011061, Bucharest, Romania, sterian.danaila@upb.roINCAS – National Institute for Aerospace Research “Elie Carafoli” B-dul Iuliu Maniu 220, Bucharest 061126, Romania, chira.alina@incas.roThe present paper refers to the assessment of three numerical methods for solving the inverse heat conduction problem: the Alifanov’s iterative regularization method, the Tikhonov local regularization method and the Tikhonov equation regularization method, respectively. For all methods we developed numerical algorithms for reconstruction of the unsteady boundary condition imposing some restrictions for the unsteady temperature field in the interior points. Numerical tests allow evaluating the accuracy of the considered methods.http://bulletin.incas.ro/files/danaila__chira__vol_6_iss_4.pdfdirect probleminverse problemAlifanov’s regularizationTikhonov regularizationconjugate gradientheat conduction
collection DOAJ
language English
format Article
sources DOAJ
author Sterian DANAILA
Alina-Ioana CHIRA
spellingShingle Sterian DANAILA
Alina-Ioana CHIRA
Mathematical and numerical modeling of inverse heat conduction problem
INCAS Bulletin
direct problem
inverse problem
Alifanov’s regularization
Tikhonov regularization
conjugate gradient
heat conduction
author_facet Sterian DANAILA
Alina-Ioana CHIRA
author_sort Sterian DANAILA
title Mathematical and numerical modeling of inverse heat conduction problem
title_short Mathematical and numerical modeling of inverse heat conduction problem
title_full Mathematical and numerical modeling of inverse heat conduction problem
title_fullStr Mathematical and numerical modeling of inverse heat conduction problem
title_full_unstemmed Mathematical and numerical modeling of inverse heat conduction problem
title_sort mathematical and numerical modeling of inverse heat conduction problem
publisher National Institute for Aerospace Research “Elie Carafoli” - INCAS
series INCAS Bulletin
issn 2066-8201
2247-4528
publishDate 2014-12-01
description The present paper refers to the assessment of three numerical methods for solving the inverse heat conduction problem: the Alifanov’s iterative regularization method, the Tikhonov local regularization method and the Tikhonov equation regularization method, respectively. For all methods we developed numerical algorithms for reconstruction of the unsteady boundary condition imposing some restrictions for the unsteady temperature field in the interior points. Numerical tests allow evaluating the accuracy of the considered methods.
topic direct problem
inverse problem
Alifanov’s regularization
Tikhonov regularization
conjugate gradient
heat conduction
url http://bulletin.incas.ro/files/danaila__chira__vol_6_iss_4.pdf
work_keys_str_mv AT steriandanaila mathematicalandnumericalmodelingofinverseheatconductionproblem
AT alinaioanachira mathematicalandnumericalmodelingofinverseheatconductionproblem
_version_ 1725704154615119872

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