Analytical method of two-dimensional inverse heat conduction problem using Laplace transformation: Effect of number of measurement points

2003 ◽  
Vol 32 (7) ◽  
pp. 618-629 ◽  
Author(s):  
Masanori Monde ◽  
Hirofumi Arima ◽  
Wei Liu ◽  
Yuhichi Mitsutake ◽  
J.A. Hammad
Keyword(s):  
Heat Conduction ◽  
Analytical Method ◽  
Laplace Transformation ◽  
Heat Conduction Problem ◽  
Inverse Heat Conduction Problem ◽  
Two Dimensional ◽  
Inverse Heat Conduction

Numerical solution of two-dimensional radially symmetric inverse heat conduction problem

2015 ◽  
Vol 23 (2) ◽  
Author(s):  
Zhi Qian ◽  
Benny Y. C. Hon ◽  
Xiang Tuan Xiong
Keyword(s):  
Heat Conduction ◽  
Numerical Solution ◽  
Heat Conduction Problem ◽  
Inverse Heat Conduction Problem ◽  
Stability And Convergence ◽  
Two Dimensional ◽  
Inverse Heat Conduction ◽  
Convergence Error ◽  
Regularization Techniques ◽  
Ill Posed

AbstractWe investigate a two-dimensional radially symmetric inverse heat conduction problem, which is ill-posed in the sense that the solution does not depend continuously on input data. By generalizing the idea of kernel approximation, we devise a modified kernel in the frequency domain to reconstruct a numerical solution for the inverse heat conduction problem from the given noisy data. For the stability of the numerical approximation, we develop seven regularization techniques with some stability and convergence error estimates to reconstruct the unknown solution. Numerical experiments illustrate that the proposed numerical algorithm with regularization techniques provides a feasible and effective approximation to the solution of the inverse and ill-posed problem.

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