%0 Journal Article
%A Mitrokhin, Sergey A.
%A Akimenko, Vitally V.
%D 2010
%I Begell House
%K underflooding of restricted areas, model of optimal control, initial boundary value problem for a parabolic type quasilinear equation, the maximum principle, numerical algorithm
%N 8
%P 65-82
%R 10.1615/JAutomatInfScien.v42.i8.80
%T The Model of Nonlinear Filtration Optimal Control for the Problem of Areas Underflooding
%U http://dl.begellhouse.com/journals/2b6239406278e43e,2fbf8c5471761c8f,6d21536607a64cf1.html
%V 42
%X A model of optimal control of underflooding of restricted areas by groundwater on the basis of the initial boundary value problem for a parabolic type quasilinear equation is considered. For the initial boundary value problem the maximum principle is proved, sufficient conditions of the existence and uniqueness of a generalized solution, sufficient conditions of the existence of optimal control of this system are obtained. The numerical algorithm for solving the optimal control problem is constructed and the numerical calculations for a model example are given.
%8 2010-08-12