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

2020 ◽  
Author(s):  
Tao Min ◽  
Xing Chen ◽  
Yao Sun ◽  
Qiang Huang
Keyword(s):  
Diffusion Coefficient ◽  
Heat Conduction ◽  
Numerical Algorithm ◽  
Heat Conduction Problem ◽  
Numerical Approach ◽  
Inverse Heat Conduction Problem ◽  
Inverse Heat Conduction ◽  
Combined Use ◽  
Marquardt Algorithm ◽  
Levenberg Marquardt

This chapter 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 an unknown 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.

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

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Tao Min ◽  
Xing Chen ◽  
Yao Sun ◽  
Qiang Huang
Keyword(s):  
Diffusion Coefficient ◽  
Heat Conduction ◽  
Numerical Algorithm ◽  
Heat Conduction Problem ◽  
A Priori ◽  
Numerical Approach ◽  
Inverse Heat Conduction Problem ◽  
Inverse Heat Conduction ◽  
Marquardt Algorithm ◽  
Levenberg Marquardt

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.

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