State-Constrained Optimal Control of an Elliptic Equation with Its Right-Hand Side Used as Control Function

摘要

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.