TY - GEN A1 - Meyer, Christian A1 - Prüfert, Uwe A1 - Tröltzsch, Fredi T1 - On two numerical methods for state-constrained elliptic control problems N2 - A linear-quadratic elliptic control problem with pointwise box constraints on the state is considered. The state-constraints are treated by a Lavrentiev type regularization. It is shown that the Lagrange multiplier associated with the regularized state-constraints are functions in L2. Moreover, the convergence of the regularized controls is proven for regularization parameter tending to zero. To solve the problem numerically, an interior point method and a primal-dual active set strategy are implemented and treated in function space. Y1 - 2005 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/252 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-2520 ER -