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Parallel Sweeping Preconditioner (PSP)

Given the discussion in Section [*], it is most convenient to describe our prototype implementation of a parallel sweeping preconditioner based upon its deviations from our proposed approach. The primary difference is that there is not yet support for simultaneously factoring the subdomain auxiliary problems and then redistributing each frontal tree to the entire set of processes. This will certainly lead to large improvements in the scalability of the setup phase, but it is left for future work.