## Hybrid direct-iterative solution methods in concurrent finite element analysis. [ELXSI 6400]

We have implemented a direct, multifrontal solution method with nested dissection ordering of finite element equations on a ten-processor ELXSI 6400 system (a shared memory architecture with local cache memory at each processor). A limitation of this concurrent direct method is an elimination tree that idles most processors while equations associated with the domain dissections are solved. A potential improvement in concurrent performance can be realized by replacing the elimination tree in the direct method with an embedded, highly concurrent, iterative solution of the dissection equations. Results feature the convergence and concurrent speedup behavior of the new method applied tomore »