Difference schemes of inverse problems for a heat equation

1999 ◽  
Vol 14 (1) ◽  
Author(s):  
YU. YA. BELOV ◽  
A. V. OVCHARENKO ◽  
V. E. RASPOPOV
Keyword(s):  
Inverse Problems ◽  
Heat Equation ◽  
Difference Schemes

A Moment Method on Inverse Problems for the Heat Equation

2019 ◽  
pp. 81-88
Author(s):  
Mishio Kawashita ◽  
Yaroslav Kurylev ◽  
Hideo Soga
Keyword(s):  
Inverse Problems ◽  
Heat Equation ◽  
Moment Method

scholarly journals Inverse problems for the heat equation with memory

2019 ◽  
Vol 13 (1) ◽  
pp. 31-38 ◽  
Author(s):  
Sergei A. Avdonin ◽  
◽  
Sergei A. Ivanov ◽  
Jun-Min Wang ◽  
◽  
...  
Keyword(s):  
Inverse Problems ◽  
Heat Equation ◽  
Heat Equation With Memory ◽  
With Memory

scholarly journals Techniques for Evaluating the Depth of a Crack by Means of Laser Spot Thermography

Proceedings ◽  
2019 ◽  
Vol 27 (1) ◽  
pp. 20
Author(s):  
Gabriele Inglese ◽  
Agnese Scalbi ◽  
Roberto Olmi
Keyword(s):  
Inverse Problems ◽  
Heat Equation ◽  
Mathematical Analysis ◽  
Crack Detection ◽  
Laser Spot ◽  
Data Set ◽  
Computational Costs ◽  
3D Data ◽  
Thermal Measurements ◽  
2D Data

Laser Spot Thermography is a useful tool in nondestructive crack detection. Our goal is to estimate the depth of a fracture from external thermal measurements. First we transform a set of real 3D data in a 2D effective one. Then we use the 2D data set as input in different methods for solving an inverse problems for the heat equation. Our guiding idea is that an effort in the direction of the mathematical analysis of the problem, rewards us in term of computational costs.

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