## The convergence of an interior point method for an elliptic control problem with mixed control-state constraints

Please always quote using this URN: urn:nbn:de:0297-zib-8223
• The paper addresses primal interior point method for state constrained PDE optimal control problems. By a Lavrentiev regularization, the state constraint is transformed to a mixed control-state constraint with bounded Lagrange multiplier. Existence and convergence of the central path are established, and linear convergence of a short-step pathfollowing method is shown. The behaviour of the regularizations are demonstrated by numerical examples.

$Rev: 13581$