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Numerical Optimal Control in Water Treatment Problem

Mohammed Louaked, Abdelkader Saïdi


The optimal control of water quality model is considered. We analyze a regularized version of the pointwise control. A numerical algorithm is presented. The solution approach is a combination of a TVD scheme for the shallow water equations and a purely deterministic particle method for the pollutant problem. We present some computational results.


Pointwise control problem, Parabolic equation, Shallow water system, Particle method, TVD scheme

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