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A Numerical Approach to Solving an Inverse Heat Conduction Problem Using the Levenberg-Marquardt Algorithm

Author

Listed:
  • Tao Min
  • Xing Chen
  • Yao Sun
  • Qiang Huang

Abstract

This paper is intended to provide a numerical algorithm involving the combined use of the Levenberg-Marquardt algorithm and the Galerkin finite element method for estimating the diffusion coefficient in an inverse heat conduction problem (IHCP). In the present study, the functional form of the diffusion coefficient is unknown a priori. The unknown diffusion coefficient is approximated by the polynomial form and the present numerical algorithm is employed to find the solution. Numerical experiments are presented to show the efficiency of the proposed method.

Suggested Citation

  • Tao Min & Xing Chen & Yao Sun & Qiang Huang, 2014. "A Numerical Approach to Solving an Inverse Heat Conduction Problem Using the Levenberg-Marquardt Algorithm," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-11, June.
    • Handle: RePEc:hin:jnlmpe:626037
    DOI: 10.1155/2014/626037
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    Cited by:

    1. Zhihui Wang & Xuguang Yang & Xiaohua Gu & Qingyong Su & Yan Liu & Xiujin He & Zhiwei Li, 2024. "Investigating Enhanced Convection Heat Transfer in 3D Micro-Ribbed Tubes Using Inverse Problem Techniques," Energies, MDPI, vol. 17(20), pages 1-20, October.

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