Abstract
This paper presents an optimal control analysis applied to water pollution control using a combination of the finite element method and optimal control theory. A numerical model of water pollution can be expressed in terms of the linear two-dimensional shallow water and convection diffusion equations. These equations can be solved by the explicit Euler scheme. The method presented by Sakawa-Shindo is effectively used to implement the control theory. Considering the closed water region such as a lake or a coastal sea, into which some river is flowing, it is shown that the pollutant level in this region can be controlled by controlling the inflow velocity of the river. This paper describes the water pollution control problem with the use of inequality constraints.
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