Convergence analysis of the SQP method for nonlinear mixed‐constrained elliptic optimal control problems
Roland Griesse, Nataliya Metla, Arnd Rösch · ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · 2008
Abstract Semilinear elliptic optimal boundary control problems with nonlinear pointwise mixed control‐state constraints are considered. Necessary and sufficient optimality conditions are given. The local quadratic convergence of the SQP method is proved and confirmed by numerical results.