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

Masahiro Shoji; Naoki Ono

doi:10.1299/kikaib.54.2893

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

Masahiro Shoji, Naoki Ono

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	2893-2900
Number of pages	8
Journal	Transactions of the Japan Society of Mechanical Engineers Series B
Volume	54
Issue number	506
DOIs	https://doi.org/10.1299/kikaib.54.2893
Publication status	Published - 1988
Externally published	Yes

Keywords

Boundary Element Method
Heat Conduction
Inverse Heat Conduction
Numerical Method of Solution
Transient Heat Conduction

ASJC Scopus subject areas

Condensed Matter Physics
Mechanical Engineering

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10.1299/kikaib.54.2893

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abstract = "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.",

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AU - Ono, Naoki

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

Abstract

Keywords

ASJC Scopus subject areas

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