Application of the boundary element method to the inverse problem of heat conduction

Masahiro Shoji, Naoki Ono

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)2893-2900
Number of pages8
JournalNippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B
Volume54
Issue number506
Publication statusPublished - 1988 Oct
Externally publishedYes

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boundary element method
Boundary element method
Inverse problems
Heat conduction
conductive heat transfer
surface temperature
heat flux
theorems
formulations
Heat flux
Concretes
Temperature
temperature

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

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