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

Masahiro Shoji, Naoki Ono

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


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
JournalTransactions of the Japan Society of Mechanical Engineers Series B
Issue number506
Publication statusPublished - 1988
Externally publishedYes


  • 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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