Projects per year
We present an efficient implementation of the highly robust and scalable GenEO (Generalized Eigenproblems in the Overlap) preconditioner  in the high-performance PDE framework DUNE . The GenEO coarse space is constructed by combining low energy solutions of a local generalised eigenproblem using a partition of unity. The main contribution of this paper is documenting the technical details that are crucial to the efficiency of a high-performance implementation of the GenEO preconditioner. We demonstrate both weak and strong scaling for the GenEO solver on over 15, 000 cores by solving an industrially motivated problem in aerospace engineering. Further, we show that for highly complex parameter distributions arising in certain real-world applications, established methods become intractable while GenEO remains fully effective.
|Title of host publication||Parallel Processing and Applied Mathematics - 13th International Conference, PPAM 2019, Revised Selected Papers|
|Editors||Roman Wyrzykowski, Konrad Karczewski, Ewa Deelman, Jack Dongarra|
|Number of pages||12|
|Publication status||Published - 2020|
|Event||13th International Conference on Parallel Processing and Applied Mathematics, PPAM 2019 - Bialystok, Poland|
Duration: 8 Sept 2019 → 11 Sept 2019
|Name||Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)|
|Conference||13th International Conference on Parallel Processing and Applied Mathematics, PPAM 2019|
|Period||8/09/19 → 11/09/19|
- Domain decomposition
- High performance computing
- Partial differential equations
ASJC Scopus subject areas
- Theoretical Computer Science
- Computer Science(all)
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- 1 Finished
Multiscale Modelling of Aerospace Composites
Butler, R. & Scheichl, R.
Engineering and Physical Sciences Research Council
6/01/14 → 5/02/18
Project: Research council