High performance solution of linear systems arising from conforming spectral approximations for non-conforming domain decompositions

Abstract

We apply a conforming spectral collocation technique to nonconforming 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. © Springer-Verlag Berlin Heidelberg 1997.