3 papers
math.OC2018
A Lagrange Multiplier Method for Semilinear Elliptic State Constrained Optimal Control Problems
Veronika Karl, Ira Neitzel, Daniel Wachsmuth
In this paper we apply an augmented Lagrange method to a class of semilinear elliptic optimal control problems with pointwise state constraints. We show strong convergence of subse…
math.OC2018
On Non-Reducible Multi-Player Control Problems and their Numerical Computation
Veronika Karl, Frank Pörner
In this article we consider a special class of Nash equilibrium problems that cannot be reduced to a single player control problem. Problems of this type can be solved by a semi-sm…
math.OC2017
A Joint Tikhonov Regularization and Augmented Lagrange Approach for Ill-posed State Constrained Control Problems with Sparse Controls
Veronika Karl, Frank Pörner
We provide a modified augmented Lagrange method coupled with a Tikhonov regularization for solving ill-posed state-constrained elliptic optimal control problems with sparse control…