Title: Multilevel Optimization for Circuit Placement Tony Chan Department of Mathematics UCLA Email: TonyC@college.ucla.edu (Joint work with Jason Cong, Joe Shinnerl, Kenton Sze) (UCLA CS and Math Departments) Abstract: I'll give a description of the multilevel optimization algorithms that our group at UCLA has developed for large scale circuit placement. I'll describe the approaches we have taken for each of the key components of the multilevel framework: coarsening, relaxation, interpolation and V-cycle iterations. Ideas and concepts from continuous PDE-based multilevel algorithms can be applied to this class of problems to some extent, but their effective adaptation requires subtle considerations and presents serious challenges. Results for standard benchmark circuits, as well as comparisons with other multilevel circuit placement algorithms, will be presented.