Inverse problem of estimating time-dependent heat transfer coefficient with the network simulation method.

*(English)*Zbl 1061.65093Summary: The sequential function specification method together with the network simulation method are applied in the inverse estimation of the time-dependent heat transfer coefficient with internal heat generation. The thermal properties of the solid and air are dependent on temperature. The input data are the temperature history at a particular location of the solid. The common iterative least-squares approach is used to minimize the functional and in all cases a piecewise function is used to approximate the solution.

##### MSC:

65M32 | Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs |

35K05 | Heat equation |

35R30 | Inverse problems for PDEs |

65M06 | Finite difference methods for initial value and initial-boundary value problems involving PDEs |

##### Keywords:

inverse problem; network simulation method; heat transfer coefficient; finite different method; numerical examples; sequential function specification method
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\textit{J. Zueco} et al., Commun. Numer. Methods Eng. 21, No. 1, 39--48 (2005; Zbl 1061.65093)

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