Optimal control for elliptic systems with pointwise euclidean norm constraints on the controls

摘要

Optimal control for an elliptic system with pointwise Euclidean norm constraints on the control variables is investigated. First order optimality conditions are derived in amanner that is amenable for numerical realisation.Anefficient semismooth Newton algorithm is proposed based on this optimality system. Numerical examples are given to validate the superlinear convergence of the semismoothNewton algorithm.