A space-time parallel solver for the three-dimensional heat equation
Abstract
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.
Keywords
Cite
@article{arxiv.1307.7867,
title = {A space-time parallel solver for the three-dimensional heat equation},
author = {Robert Speck and Daniel Ruprecht and Matthew Emmett and Matthias Bolten and Rolf Krause},
journal= {arXiv preprint arXiv:1307.7867},
year = {2015}
}
Comments
10 pages