Geodesic
On the solution of inverse problems for generalized oxygen consumption
Applications of Mathematics, Tome 46 (2001) no. 2, pp. 145-155.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We present the solution of some inverse problems for one-dimensional free boundary problems of oxygen consumption type, with a semilinear convection-diffusion-reaction parabolic equation. Using a fixed domain transformation (Landau’s transformation) the direct problem is reduced to a system of ODEs. To minimize the objective functionals in the inverse problems, we approximate the data by a finite number of parameters with respect to which automatic differentiation is applied.
DOI : 10.1023/A:1013735806210
Classification : 35K55, 35R30, 35R35, 49M15, 49N45, 49N50, 65M32
Keywords: oxygen consumption; inverse problems; automatic differentiation 
@article{10_1023_A_1013735806210,
     author = {Constales, D. and Ka\v{c}ur, J.},
     title = {On the solution of inverse problems for generalized oxygen consumption},
     journal = {Applications of Mathematics},
     pages = {145--155},
     publisher = {mathdoc},
     volume = {46},
     number = {2},
     year = {2001},
     doi = {10.1023/A:1013735806210},
     mrnumber = {1818082},
     zbl = {1059.65086},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1023/A:1013735806210/}
}
TY  - JOUR
AU  - Constales, D.
AU  - Kačur, J.
TI  - On the solution of inverse problems for generalized oxygen consumption
JO  - Applications of Mathematics
PY  - 2001
SP  - 145
EP  - 155
VL  - 46
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1023/A:1013735806210/
DO  - 10.1023/A:1013735806210
LA  - en
ID  - 10_1023_A_1013735806210
ER  - 
%0 Journal Article
%A Constales, D.
%A Kačur, J.
%T On the solution of inverse problems for generalized oxygen consumption
%J Applications of Mathematics
%D 2001
%P 145-155
%V 46
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1023/A:1013735806210/
%R 10.1023/A:1013735806210
%G en
%F 10_1023_A_1013735806210
Constales, D.; Kačur, J. On the solution of inverse problems for generalized oxygen consumption. Applications of Mathematics, Tome 46 (2001) no. 2, pp. 145-155. doi : 10.1023/A:1013735806210. http://geodesic.mathdoc.fr/articles/10.1023/A:1013735806210/

Cité par Sources :