TY - GEN A1 - Tröltzsch, Fredi A1 - Yousept, Irwin T1 - A regularization method for the numerical solution of elliptic boundary control problems with pointwise state constraints N2 - A Lavrentiev type regularization technique for solving elliptic boundary control problems with pointwise state constraints is considered. The main concept behind this regularization is to look for controls in the range of the adjoint control-to-state mapping. After investigating the analysis of the method, a semismooth Newton method based on the optimality conditions is presented. The theoretical results are confirmed by numerical tests. Moreover, they are validated by comparing the regularization technique with standard numerical codes based on the discretize-then-optimize concept. KW - Boundary control KW - state constraints KW - Lavrentiev type regularization KW - semismooth Newton method KW - optimize-then-discretize KW - nested iteration Y1 - 2007 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/373 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-3734 ER -