Solution of linear boundary inverse problems of heat conduction

1978 ◽  
Vol 34 (3) ◽  
pp. 361-366
Author(s):  
I. A. Novikov
Keyword(s):  
Heat Conduction ◽  
Inverse Problems ◽  
Linear Boundary ◽  
Boundary Inverse Problems

Trefftz Functions Applied to Direct and Inverse Non-Fourier Heat Conduction Problems

2014 ◽  
Vol 136 (9) ◽  
Author(s):  
Krzysztof Grysa ◽  
Artur Maciag ◽  
Justyna Adamczyk-Krasa
Keyword(s):  
Boundary Condition ◽  
Heat Conduction ◽  
Inverse Problems ◽  
Approximate Method ◽  
Heat Conduction Equation ◽  
Input Data ◽  
Direct And Inverse Problems ◽  
Ill Posed ◽  
Fourier Heat Conduction ◽  
Boundary Inverse Problems

The paper presents a new approximate method of solving non-Fourier heat conduction problems. The approach described here is suitable for solving both direct and inverse problems. The way of generating Trefftz functions for non-Fourier heat conduction equation has been shown. Obtained functions have been used for solving direct and boundary inverse problems (identification of boundary condition). As a rule, inverse problems are ill-posed. Therefore, each method of solving these problems has to be checked according to disturbance of the input data. Presented examples confirm high usability of the presented approach for solving direct and inverse non-Fourier heat conduction problems.

Solution of inverse problems of heat conduction by the method of dynamic filtration

1981 ◽  
Vol 41 (5) ◽  
pp. 1260-1264
Author(s):  
O. M. Alifanov ◽  
E. A. Artyukhin ◽  
S. N. Loginov ◽  
V. V. Malozemov
Keyword(s):  
Heat Conduction ◽  
Inverse Problems ◽  
Dynamic Filtration

Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction

2002 ◽  
Author(s):  
Dang Dinh Ang ◽  
Rudolf Gorenflo ◽  
Vy Khoi Le ◽  
Dang Duc Trong
Keyword(s):  
Heat Conduction ◽  
Inverse Problems ◽  
Potential Theory ◽  
Moment Theory

Inverse problems in heat conduction

1975 ◽  
Vol 29 (1) ◽  
pp. 816-820 ◽  
Author(s):  
A. N. Tikhonov
Keyword(s):  
Heat Conduction ◽  
Inverse Problems
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