This title appears in the Scientific Report :
2014
Please use the identifier:
http://dx.doi.org/10.3233/978-1-61499-381-0-263 in citations.
A space-time parallel solver for the three-dimensional heat equation
A space-time parallel solver for the three-dimensional heat equation
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 concurren...
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Personal Name(s): | Speck, Robert (Corresponding Author) |
---|---|
Ruprecht, Daniel / Emmett, Matthew / Minion, Michael / Bolten, Matthias / Krause, Rolf | |
Contributing Institute: |
Jülich Supercomputing Center; JSC |
Published in: |
Parallel Computing: Accelerating Computational Science and Engineering (CSE) |
Imprint: |
IOS Press
2014
|
Physical Description: |
263 - 272 |
DOI: |
10.3233/978-1-61499-381-0-263 |
Conference: | International Conference on Parallel Computing, Munich (Germany), 2013-09-10 - 2013-09-13 |
Document Type: |
Contribution to a book Contribution to a conference proceedings |
Research Program: |
Raum-Zeit-parallele Simulation multimodale Energiesystemen Raum-Zeit-parallele Simulation multimodale Energiesystemen Computational Science and Mathematical Methods |
Series Title: |
Advances in Parallel Computing
25 |
Publikationsportal JuSER |
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. |