Geodesic
To the inverse heat conduction problem
Numerical methods and programming, Tome 15 (2014) no. 3, pp. 411-416.

Voir la notice de l'article provenant de la source Math-Net.Ru

An algorithm for the regularization of the inverse heat conduction problem is proposed on the basis of the Fourier method. Unlike many other algorithms, the proposed algorithm does not increase the order of the differential equation. The correctness of the regularized problem is proved and its solution is estimated. A problem of another type is formulated; this problem consists in the determination of sources such that the solution of the resulting boundary value problem asymptotically satisfies the final distribution. This limit problem can be considered as a natural alternative for the inverse problem.
Keywords: inverse heat conduction problem, ill-posed problems, regularization, heat conduction, projection algorithm, complete systems of potentials. 
@article{VMP_2014_15_3_a3,
     author = {V. A. Morozov and A. N. Markovsky and V. G. Lezhnev},
     title = {To the inverse heat conduction problem},
     journal = {Numerical methods and programming},
     pages = {411--416},
     publisher = {mathdoc},
     volume = {15},
     number = {3},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2014_15_3_a3/}
}
TY  - JOUR
AU  - V. A. Morozov
AU  - A. N. Markovsky
AU  - V. G. Lezhnev
TI  - To the inverse heat conduction problem
JO  - Numerical methods and programming
PY  - 2014
SP  - 411
EP  - 416
VL  - 15
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VMP_2014_15_3_a3/
LA  - ru
ID  - VMP_2014_15_3_a3
ER  - 
%0 Journal Article
%A V. A. Morozov
%A A. N. Markovsky
%A V. G. Lezhnev
%T To the inverse heat conduction problem
%J Numerical methods and programming
%D 2014
%P 411-416
%V 15
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VMP_2014_15_3_a3/
%G ru
%F VMP_2014_15_3_a3
V. A. Morozov; A. N. Markovsky; V. G. Lezhnev. To the inverse heat conduction problem. Numerical methods and programming, Tome 15 (2014) no. 3, pp. 411-416. http://geodesic.mathdoc.fr/item/VMP_2014_15_3_a3/