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

被引：7
|
作者：
Min, Tao [1 ,2 ]
Chen, Xing [1 ]
Sun, Yao [1 ]
Huang, Qiang [2 ]
机构：
[1] Xian Univ Technol, Sch Sci, Xian 710054, Shaanxi, Peoples R China
[2] Xian Univ Technol, State Key Lab Ecohydraul Engn Shaanxi, Xian 710048, Shaanxi, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2014年 / 2014卷
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1155/2014/626037
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
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.
引用
收藏
页数：11
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