Optima; chip layout on a printed circuit board using design sensitivity analysis of subdomain configuration

摘要

A chip layout problem is formulated as a new class of shape optimal design called a subdomain optimization, where the chips correspond to subdomains whose configuration and location are to be decided. Shape design sensitivity analysis for aperturbed subdomain is made based on the concept of material derivative and adjoint system. Introducing a suitable category of design velocity fields, the change of the configuration is adequately describable. Sensitivities and optimal positions of chipson a printed circuit board are obtained and their accuracy discussed.