Geodesic
An inverse problem in estimating the time dependent source term and initial temperature simultaneously by the polynomial regression and conjugate gradient method
Filomat, Tome 34 (2020) no. 10, p. 3507

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

From the final and interior temperature measurements identifying the source term with initial temperature simultaneously is an inverse heat conduction problem which is a kind of ill-posed. The optimal control framework has been found to be effective in dealing with these problems. However, they require to find the gradient information. This idea has been employed in this research. We derive the gradient of Tikhonov functional and establish the stability of the minimizer from the necessary condition. The stability and effectiveness of evolutionary algorithm are presented for various test examples.
DOI : 10.2298/FIL2010507C
Classification : 35R25, 35R30, 35K15, 62J02, 90C52
Keywords: Inverse source problem, parabolic problem, Tikhonov functional, polynomial regression, conjugate gradient method 
Arzu Erdem Coşkun. An inverse problem in estimating the time dependent source term and initial temperature simultaneously by the polynomial regression and conjugate gradient method. Filomat, Tome 34 (2020) no. 10, p. 3507 . doi: 10.2298/FIL2010507C
@article{10_2298_FIL2010507C,
     author = {Arzu Erdem Co\c{s}kun},
     title = {An inverse problem in estimating the time dependent source term and initial temperature simultaneously by the polynomial regression and conjugate gradient method},
     journal = {Filomat},
     pages = {3507 },
     year = {2020},
     volume = {34},
     number = {10},
     doi = {10.2298/FIL2010507C},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2010507C/}
}
TY  - JOUR
AU  - Arzu Erdem Coşkun
TI  - An inverse problem in estimating the time dependent source term and initial temperature simultaneously by the polynomial regression and conjugate gradient method
JO  - Filomat
PY  - 2020
SP  - 3507 
VL  - 34
IS  - 10
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2010507C/
DO  - 10.2298/FIL2010507C
LA  - en
ID  - 10_2298_FIL2010507C
ER  - 
%0 Journal Article
%A Arzu Erdem Coşkun
%T An inverse problem in estimating the time dependent source term and initial temperature simultaneously by the polynomial regression and conjugate gradient method
%J Filomat
%D 2020
%P 3507 
%V 34
%N 10
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2010507C/
%R 10.2298/FIL2010507C
%G en
%F 10_2298_FIL2010507C

Cité par Sources :