Journal
SIAM JOURNAL ON SCIENTIFIC COMPUTING
Volume 44, Issue 4, Pages C320-C345Publisher
SIAM PUBLICATIONS
DOI: 10.1137/21M1430157
Keywords
boundary element method; space-time; heat equation; FMM; parallelization; HPC
Categories
Funding
- Czech Science Foundation (GACR) [1929698L]
- Austrian Science Fund (FWF) [I 4033-N32]
- Ministry of Education, Youth and Sports of the Czech Republic through the e-INFRA CZ [90140]
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In this study, a novel approach to parallelizing the parabolic fast multipole method for the space-time boundary element method for the heat equation is presented, utilizing the special temporal structure of the operators and implementing efficient distributed parallelization with one-directional communication pattern.
We present a novel approach to the parallelization of the parabolic fast multipole method for a space-time boundary element method for the heat equation. We exploit the special temporal structure of the involved operators to provide an efficient distributed parallelization with respect to time and with a one-directional communication pattern. On top, we apply a task-based shared memory parallelization and Single Instruction Multiple Data vectorization. In the numerical tests we observe high efficiencies of our parallelization approach.
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