RESOLUTION AND NUMERICAL SIMULATION OF AN OPTIMAL CONTROL PROBLEM OF SURFACE WATER POLLUTION

Abstract

We present in this paper the resolution and numerical simulation of an optimal control problem of surface water pollution. This resolution is based on  vectorized implementation under Matlab of the $P^1+bulle/P^1$ method for the resolution of the constraints which govern the transport and dissolution equations of the pollutants coupled with the Navier-Stokes equations in three dimension of space and the differentiation-discretization approach to analyze the optimization problem with constraints.