Virtual Control Approach Research Articles

Error estimates for the Lavrentiev regularization of elliptic optimal control problems

We focus on optimal control problems governed by partial differential equations. The presence of constraints on the state provides numerical and analytical difficulties. We treat these obstacles introducing a Lavrentiev regularization. The key issue is addressed to the analytical investigation of the convergence order of solutions based on certain source representation arguments. A virtual control approach is investigated for problems with additional control constraints. Numerical experiments are presented.