Crack identification for transient heat operator by using domain decomposition method

Crack identification for transient heat operator by using domain decomposition method

This work deals with cracks identification from over-determined boundary data. The consideration physical phenomena corresponds to the transient heat equation. we give a theoretical result of identifiability for the inverse problem under consideration. Then, we consider a recovering process based on...

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Bibliographic Details
Main Authors: Anis Bel Hadj Hassin, Sinda Khalfallah
Format: Article
Language:English
Published: BİSKA Bilisim Company 2017-08-01
Series:New Trends in Mathematical Sciences
Subjects:
Inverse problem
crack
identifiability
transient heat equation
ill-posed problem
Cauchy problem
domain decomposition
virtual control
noise.
Online Access:https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8319
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spelling doaj-fa2ca9b62e7645d197581ed46855ca582020-11-24T21:47:23ZengBİSKA Bilisim CompanyNew Trends in Mathematical Sciences2147-55202147-55202017-08-015320822610.20852/ntmsci.2017.1978319Crack identification for transient heat operator by using domain decomposition methodAnis Bel Hadj Hassin0Sinda Khalfallah1niversité de Tunis El Manar, Ecole Nationale d’Ingénieurs de Tunis.Université de Tunis El Manar, Ecole Nationale d'Ingénieurs de TunisThis work deals with cracks identification from over-determined boundary data. The consideration physical phenomena corresponds to the transient heat equation. we give a theoretical result of identifiability for the inverse problem under consideration. Then, we consider a recovering process based on coupling domain decomposition method and minimizing an energy-type error functional. The efficiency of the proposed approach is illustrated by several numerical results.https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8319Inverse problemcrackidentifiabilitytransient heat equationill-posed problemCauchy problemdomain decompositionvirtual controlnoise.
collection DOAJ
language English
format Article
sources DOAJ
author Anis Bel Hadj Hassin
Sinda Khalfallah
spellingShingle Anis Bel Hadj Hassin
Sinda Khalfallah
Crack identification for transient heat operator by using domain decomposition method
New Trends in Mathematical Sciences
Inverse problem
crack
identifiability
transient heat equation
ill-posed problem
Cauchy problem
domain decomposition
virtual control
noise.
author_facet Anis Bel Hadj Hassin
Sinda Khalfallah
author_sort Anis Bel Hadj Hassin
title Crack identification for transient heat operator by using domain decomposition method
title_short Crack identification for transient heat operator by using domain decomposition method
title_full Crack identification for transient heat operator by using domain decomposition method
title_fullStr Crack identification for transient heat operator by using domain decomposition method
title_full_unstemmed Crack identification for transient heat operator by using domain decomposition method
title_sort crack identification for transient heat operator by using domain decomposition method
publisher BİSKA Bilisim Company
series New Trends in Mathematical Sciences
issn 2147-5520
2147-5520
publishDate 2017-08-01
description This work deals with cracks identification from over-determined boundary data. The consideration physical phenomena corresponds to the transient heat equation. we give a theoretical result of identifiability for the inverse problem under consideration. Then, we consider a recovering process based on coupling domain decomposition method and minimizing an energy-type error functional. The efficiency of the proposed approach is illustrated by several numerical results.
topic Inverse problem
crack
identifiability
transient heat equation
ill-posed problem
Cauchy problem
domain decomposition
virtual control
noise.
url https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8319
work_keys_str_mv AT anisbelhadjhassin crackidentificationfortransientheatoperatorbyusingdomaindecompositionmethod
AT sindakhalfallah crackidentificationfortransientheatoperatorbyusingdomaindecompositionmethod
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