2D Control Problem and TVD-Particle Method for Water Treatment System

Mohammed Louaked (1) , Abdelkader Saïdi (2)

1 LMNO - Laboratoire de Mathématiques Nicolas Oresme
2 IRMA - Institut de Recherche Mathématique Avancée

This work consists on the study of an optimal control problem relating to the water pollution. We analyze various questions: existence, uniqueness, control and the regularized formulation of the initial pointwise control problem. We propose also an implementation of an hybrid numerical scheme associated with an algorithm of descent.

Mots clés: Pointwise control problem; Parabolic equation; Shallow water system; Particle method; TVD scheme

Domaines: Optimisation et contrôle [math.OC]; Analyse numérique [math.NA]; Equations aux dérivées partielles [math.AP]; Ingénierie de l'environnement

Mohammed Louaked, Abdelkader Saïdi. 2D Control Problem and TVD-Particle Method for Water Treatment System. 2011. ⟨hal-00579797⟩