Paper Info
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.
Year
DOI
Venue
2013
10.3233/978-1-61499-381-0-263
PARALLEL COMPUTING: ACCELERATING COMPUTATIONAL SCIENCE AND ENGINEERING (CSE)
Keywords
DocType
Volume
parallel-in-time integration,PFASST,parallel multigrid,multi-level spectral deferred correction,3D heat equation,JUQUEEN,Monte Rosa
Journal
25
ISSN
Citations 
PageRank 
0927-5452
8
0.63
References 
Authors
2
5
Name
Order
Citations
PageRank
Robert Speck1525.86
Daniel Ruprecht27110.02
Matthew Emmett3313.11
Matthias Bolten4509.28
Rolf Krause512622.96