%0 Journal Article
%T A space-time parallel solver for the three-dimensional heat equation
%A Robert Speck
%A Daniel Ruprecht
%A Matthew Emmett
%A Matthias Bolten
%A Rolf Krause
%J Computer Science
%D 2013
%I arXiv
%R 10.3233/978-1-61499-381-0-263
%X 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 temporal 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.
%U http://arxiv.org/abs/1307.7867v2