A space-time parallel solver for the three-dimensional heat equation [article]

Robert Speck, Daniel Ruprecht, Matthew Emmett, Matthias Bolten, Rolf Krause
2013 arXiv   pre-print
The paper presents a combination of the time-parallel "parallel full approximation scheme in space and time" (PFASST) with a parallel multigrid method (PMG) in space, resulting in a mesh-based solver for the three-dimensional heat equation with a uniquely high degree of efficient concurrency. Parallel scaling tests are reported on the Cray XE6 machine "Monte Rosa" on up to 16,384 cores and on the IBM Blue Gene/Q system "JUQUEEN" on up to 65,536 cores. The efficacy of the combined spatial- and
more » ... mporal parallelization is shown by demonstrating that using PFASST in addition to PMG significantly extends the strong-scaling limit. Implications of using spatial coarsening strategies in PFASST's multi-level hierarchy in large-scale parallel simulations are discussed.
arXiv:1307.7867v1 fatcat:lfisi42fpfdnxipikqmvik6iju