Optimal control of an elliptic system with conjugation conditions and Neumann boundary conditions

New optimal control problems for distributed systems whose state is described by Neumann boundary-value problems with conjugation conditions and non-unique solutions are constructed and analyzed. Highly accurate computation schemes for discretization of optimization problems are proposed for the case where the control set coincides with a complete Hilbert space.Translated from Kibernetika i Sistemnyi Analiz, No. 6, pp. 93– 111, November–December 2004.The study was supported by the State Fund for Fundamental Research.This revised version was published online in April 2005 with a corrected cover date.