TY - JOUR

T1 - Application of the Boundary Element Method to the Inverse Problem of Heat Conduction

AU - Shoji, Masahiro

AU - Ono, Naoki

PY - 1988

Y1 - 1988

N2 - A general method of solution using the boundary element method (BEM) is developed for multi dimensional inverse problems of heat conduction. A concrete formulation is presented for the one-dimensional problem in which the surface temperature and the surface heat flux are sought from the temperature measured at two interior points. By solving the Beck's problem, the stability of the calculation is studied, and the result is compared with that of the method based on the Duhamel theorem. A simple two-dimensional problem is also dealt with in an attempt to show the applicability of the present method.

AB - A general method of solution using the boundary element method (BEM) is developed for multi dimensional inverse problems of heat conduction. A concrete formulation is presented for the one-dimensional problem in which the surface temperature and the surface heat flux are sought from the temperature measured at two interior points. By solving the Beck's problem, the stability of the calculation is studied, and the result is compared with that of the method based on the Duhamel theorem. A simple two-dimensional problem is also dealt with in an attempt to show the applicability of the present method.

KW - Boundary Element Method

KW - Heat Conduction

KW - Inverse Heat Conduction

KW - Numerical Method of Solution

KW - Transient Heat Conduction

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U2 - 10.1299/kikaib.54.2893

DO - 10.1299/kikaib.54.2893

M3 - Article

AN - SCOPUS:0024090582

VL - 54

SP - 2893

EP - 2900

JO - Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B

JF - Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B

SN - 0387-5016

IS - 506

ER -