Abstract
In this paper we introduce a new parallel solver for the weakly singular space–time boundary integral equation for the heat equation. The space–time boundary mesh is decomposed into a given number of submeshes. Pairs of the submeshes represent dense blocks in the system matrices, which are distributed among computational nodes by an algorithm based on a cyclic decomposition of complete graphs ensuring load balance. In addition, we employ vectorization and threading in shared memory to ensure intra-node efficiency. We present scalability experiments on different CPU architectures to evaluate the performance of the proposed parallelization techniques. All levels of parallelism allow us to tackle large problems and lead to an almost optimal speedup.
Original language | English |
---|---|
Pages (from-to) | 2852-2866 |
Journal | Computers & Mathematics with Applications |
Volume | 78 |
Issue number | 9 |
Early online date | 2019 |
DOIs | |
Publication status | Published - 1 Nov 2019 |
Keywords
- Heat equation
- Parallelization
- Space–time boundary element method
- Vectorization
ASJC Scopus subject areas
- Numerical Analysis
- Computational Mathematics
- Computational Theory and Mathematics
- Modelling and Simulation
Fields of Expertise
- Information, Communication & Computing
Treatment code (Nähere Zuordnung)
- Basic - Fundamental (Grundlagenforschung)