In this paper we consider the problem of detecting pollution in some non linear parabolic systems using the sentinel method. For this purpose we develop and analyze a new approach to the discretization which pays careful attention to the stability of the solution. To illustrate convergence properties we give some numerical results that present good properties and show new ways for building discrete sentinels.
@article{bwmeta1.element.doi-10_2478_s11533-007-0031-3,
author = {Aboubakari Traore and Benjamin Mampassi and Bisso Saley},
title = {A Numerical Approach of the sentinel method for distributed parameter systems},
journal = {Open Mathematics},
volume = {5},
year = {2007},
pages = {751-763},
zbl = {1154.65075},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-007-0031-3}
}
Aboubakari Traore; Benjamin Mampassi; Bisso Saley. A Numerical Approach of the sentinel method for distributed parameter systems. Open Mathematics, Tome 5 (2007) pp. 751-763. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-007-0031-3/
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