Algorithm of Solution an Optimal Control Problem for Elliptic Differential Equations with m-Point Bitsadze-Samarski Conditions

The paper deals with an m-point non-local boundary value problem for a generalized analytic function. The optimization problem for the integral functional in the Sobolev space is posed. Necessary and sufficient optimality conditions are obtained in the form of the Pontryagin maximum principle, on the basis of which a numerical algorithm for solving the optimal control problem is presented.