Jan Lovisek, Faculty of Civil Engineering, Slovak Technical University, Radlinskeho 11, 813 68 Bratislava, Slovakia
Abstract: This paper concerns an optimal control problem of elliptic singular perturbations in variational inequalities (with controls appearing in coefficients, right hand sides and convex sets of states as well). The existence of an optimal control is verified. Applications to the optimal control of an elasto-plastic plate with a small rigidity and with an obstacle are presented. For elasto-plastic plates with a moving part of the boundary a primal finite element model is applied and a convergence result is obtained.
Keywords: Optimal control problem, singular perturbations in variational inequalities, convex set, elasto-plastic plate, small rigidity, obstacle.
Classification (MSC 1991): 49A29, 49A27, 49B34
