Reconstruction of polygonal inclusions in a heat conductive body from dynamical boundary data
1 Laboratory of Engineering Mathematics, Polytechnic School, University of Carthage, Tunisia.
2 Faculty of Sciences of Bizerte, University of Carthage, Tunisia
Received: 22 June 2015
Revised: 19 April 2016
Accepted: 1 June 2016
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.
Mathematics Subject Classification: 35R30 / 80A23
Key words: Inverse initial boundary value problem / parabolic equation / thermal imaging / polygonal inclusion / reconstruction
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