Abstract

In this paper, we consider a boundary control problem governed by an elliptic partial differential equation with a minimax objective function. The control problem is numerically approximated with the finite element method and a linear formulation of the problem is presented. With the linear formulation, the discrete control problems are solvable with linear programming methods. Numerical examples demonstrate the stability of the solution method. An extension of the method to optimal control problems with control applied through the coefficients of the elliptic operator is also discussed.

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