High Performance solution of Linear Systems Arising from Conforming Spectral Approximations for Non-Conforming Domain Decompositions

摘要

We apply a conforming spectral collocation technique to non-conforming domain decompositions. The resulting global matrices have a particular block structure. We study the performance of various direct methods of solution of the resulting linear system on a RS6000 workstation, a SGI Power Challenge and a Cray J-916 supercomputer.