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Evaluation of A Two-Dimensional Conductivity Function Based on Boundary Measurements
Oleh:
Tadi, M.
Jenis:
Article from Bulletin/Magazine
Dalam koleksi:
Journal of Heat Transfer vol. 122 no. 2 (May 2000)
,
page 367-371.
Topik:
thermal conductivity
;
teo - dimensional conductivity
;
boundary measurements
Ketersediaan
Perpustakaan Pusat (Semanggi)
Nomor Panggil:
JJ90.1
Non-tandon:
1 (dapat dipinjam: 0)
Tandon:
tidak ada
Lihat Detail Induk
Isi artikel
This paper is concerned with an inverse problem for the conduction of heat in a two-dimensional domain. It seeks to recover the subsurface conductivity profile based on the measurements obtained at the boundary. The method considers a temporal interval for which time - dependent measurements are provided. It formulates an optimal estimation problem which seeks to minimize the error difference between the given data and the response from the system. It uses a combination of the zeroth-order and the first - order Tikhonov regularization to stabilize the inversion. The method leads to an iterative algorithm which, at every iteration, requires the solution to a two - point boundary value problem. A number of numerical results are presented which indicate that a close estimate of the thermal conductivity function can be obtained based on the boundary measurements only.
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