Ulf Br nnlund, Mathias Stolpe, Krister Svanberg. Semidefinite programming is a matrix generalization of linear programming which recently has been proven to be valuable in solving many applications of convex optimization.
Structural optimization deals with computer-aided optimal design of load carrying structures.
A typical objective is to minimize the structural weight subject to various constraints on structural stiffness and strength. The subject of this project is to develop mathematical models and numerical methods for optimizing the topology of different types of load-carrying structures. Such problems are in general much harder than for example problems dealing only with element sizes. The emphasis in this project is development of methods for semidefinite programming with the special structure found in truss topology design problems.