A variational inequality approach to constrained control problems

Optimality Conditions for Non-Qualified Parabolic Control Problems

We consider parabolic state constrained optimal control problems where the usual Slater condition is not necessarily satisfied. Instead, a weaker interiority property is assumed. Optimality conditions with a Lagrange multiplier are given. As an application we present an augmented Lagrangian algorithm. Numerical test results are included.

A Steepest Descent Method for the Approximation of the Boundary Control in Two-Phase Stefan Problem

On the approximation of the boundary control in two-phase Stefan-type problems

The paper is concerned with boundary control of two-phase Stefan problems. A construction of optimal solutions, based on exploiting regularization techniques, is presented. Results of some numerical experiments are discussed. peerReviewed