State-constrained optimal control of an elliptic equation with its right-hand side used as control function

Abstract

A grid approximation is considered for the control-and-state-constrained optimal control of a linear elliptic equation with its right-hand side used as a control function. The resulting finite-dimensional problem is solved by using iterative methods, whose convergence is analyzed theoretically and numerically. Numerical results produced by different methods are compared. © 2011 Pleiades Publishing, Ltd.