Geodesic
Reconstruction of polygonal inclusions in a heat conductive body from dynamical boundary data
Bouraoui, Manel1 ; El Asmi, Lassaad1 idref ; Khelifi, Abdessatar2 idref orcid
1Laboratory of Engineering Mathematics, Polytechnic School, University of Carthage, Tunisia.
2Faculty of Sciences of Bizerte, University of Carthage, Tunisia
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 51 (2017) no. 3, pp. 949-964

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In this paper, we consider a reconstruction problem of small and polygonal heat-conducting inhomogeneities from dynamic boundary measurements on part of the boundary and for finite interval in time. Our identification procedure is based on asymptotic method combined with appropriate averaging of the partial dynamic boundary measurements. Our approach is expected to lead to an effective computational identification algorithms.

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DOI : 10.1051/m2an/2016043
Classification : 35R30, 80A23
Keywords: Inverse initial boundary value problem, parabolic equation, thermal imaging, polygonal inclusion, reconstruction

Bouraoui, Manel  1   ; El Asmi, Lassaad  1   ; Khelifi, Abdessatar  2

1 Laboratory of Engineering Mathematics, Polytechnic School, University of Carthage, Tunisia.
2 Faculty of Sciences of Bizerte, University of Carthage, Tunisia 
Bouraoui, Manel; El Asmi, Lassaad; Khelifi, Abdessatar. Reconstruction of polygonal inclusions in a heat conductive body from dynamical boundary data. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 51 (2017) no. 3, pp. 949-964. doi: 10.1051/m2an/2016043
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     title = {Reconstruction of polygonal inclusions in a heat conductive body from dynamical boundary data},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {949--964},
     year = {2017},
     publisher = {EDP-Sciences},
     volume = {51},
     number = {3},
     doi = {10.1051/m2an/2016043},
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     zbl = {1372.35357},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an/2016043/}
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