TY - GEN A1 - Sturm, Kevin A1 - Hintermüller, Michael A1 - Hömberg, Dietmar T1 - Shape Optimization for a Sharp Interface Model of Distortion Compensation N2 - We study a mechanical equilibrium problem for a material consisting of two components with different densities, which allows to change the outer shape by changing the interface between the subdomains. We formulate the shape design problem of compensating unwanted workpiece changes by controlling the interface, employ regularity results for transmission problems for a rigorous derivation of optimality conditions based on the speed method, and conclude with some numerical results based on a spline approximation of the interface. KW - distortion, phase transition, shape optimisation, speed method, transmission problem Y1 - 2015 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/1230 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-12301 ER -