@inproceedings{6a063b4a22d1409d9d98ab216791896e,
title = "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 = "3D heat equation, JUQUEEN, Monte Rosa, multi-level spectral deferred correction, parallel multigrid, parallel-in-time integration, PFASST",
author = "Robert Speck and Daniel Ruprecht and Matthew Emmett and Matthias Bolten and Rolf Krause",
year = "2014",
doi = "10.3233/978-1-61499-381-0-263",
language = "English (US)",
isbn = "9781614993803",
series = "Advances in Parallel Computing",
publisher = "IOS Press BV",
pages = "263--272",
booktitle = "Parallel Computing",
address = "Netherlands",
}