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.
Accepté le :
DOI : 10.1051/m2an/2016043
Mots clés : Inverse initial boundary value problem, parabolic equation, thermal imaging, polygonal inclusion, reconstruction
@article{M2AN_2017__51_3_949_0,
author = {Bouraoui, Manel and El Asmi, Lassaad and Khelifi, Abdessatar},
title = {Reconstruction of polygonal inclusions in a heat conductive body from dynamical boundary data},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
pages = {949--964},
publisher = {EDP-Sciences},
volume = {51},
number = {3},
year = {2017},
doi = {10.1051/m2an/2016043},
mrnumber = {3666652},
zbl = {1372.35357},
language = {en},
url = {http://www.numdam.org/articles/10.1051/m2an/2016043/}
}
TY - JOUR AU - Bouraoui, Manel AU - El Asmi, Lassaad AU - Khelifi, Abdessatar TI - Reconstruction of polygonal inclusions in a heat conductive body from dynamical boundary data JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2017 SP - 949 EP - 964 VL - 51 IS - 3 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/m2an/2016043/ DO - 10.1051/m2an/2016043 LA - en ID - M2AN_2017__51_3_949_0 ER -
%0 Journal Article %A Bouraoui, Manel %A El Asmi, Lassaad %A Khelifi, Abdessatar %T Reconstruction of polygonal inclusions in a heat conductive body from dynamical boundary data %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2017 %P 949-964 %V 51 %N 3 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/m2an/2016043/ %R 10.1051/m2an/2016043 %G en %F M2AN_2017__51_3_949_0
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. http://www.numdam.org/articles/10.1051/m2an/2016043/
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