### 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 |
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Pages (from-to) | 2893-2900 |

Number of pages | 8 |

Journal | Nippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B |

Volume | 54 |

Issue number | 506 |

Publication status | Published - 1988 Oct |

Externally published | Yes |

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### ASJC Scopus subject areas

- Mechanical Engineering

### Cite this

**Application of the boundary element method to the inverse problem of heat conduction.** / Shoji, Masahiro; Ono, Naoki.

Research output: Contribution to journal › Article

*Nippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B*, vol. 54, no. 506, pp. 2893-2900.

}

TY - JOUR

T1 - Application of the boundary element method to the inverse problem of heat conduction

AU - Shoji, Masahiro

AU - Ono, Naoki

PY - 1988/10

Y1 - 1988/10

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.

UR - http://www.scopus.com/inward/record.url?scp=0024090582&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0024090582&partnerID=8YFLogxK

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 -