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Thies, Jonas and Galgon, Martin and Krämer, Lukas and Pieper, Andreas (2014) A 3D-Parallel Interior Eigenvalue Solver. Numerical Methods on High Performance Computers, 2014-12-01 - 2014-12-03, Heidelberg, Deutschland.
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Abstract
Some applications in quantum physics require the computation
of a relatively large part of the interior of the spectrum of the
Hamiltonian matrix. The sparse matrices in question have a dimension of billions
to trillions and on the order of 1000 eigenpairs are required.
We present a purely iterative solver based on the FEAST algorithm (Polizzi '09)
with a fault-tolerant and hybrid-parallel row-projection method for the linear systems that
have to be solved. The subspace is distributed in both the `horizontal' and `vertical'
direction, and the key operations exploit any available intra-node parallelism.
| Item URL in elib: | https://elib.dlr.de/93103/ | ||||||||||||||||||||
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| Document Type: | Conference or Workshop Item (Speech) | ||||||||||||||||||||
| Title: | A 3D-Parallel Interior Eigenvalue Solver | ||||||||||||||||||||
| Authors: |
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| Date: | 2 December 2014 | ||||||||||||||||||||
| Refereed publication: | Yes | ||||||||||||||||||||
| Open Access: | Yes | ||||||||||||||||||||
| Gold Open Access: | No | ||||||||||||||||||||
| In SCOPUS: | No | ||||||||||||||||||||
| In ISI Web of Science: | No | ||||||||||||||||||||
| Status: | Published | ||||||||||||||||||||
| Keywords: | Inner Eigenvalues, FEAST algorithm, iterative solvers, massivelz parallel | ||||||||||||||||||||
| Event Title: | Numerical Methods on High Performance Computers | ||||||||||||||||||||
| Event Location: | Heidelberg, Deutschland | ||||||||||||||||||||
| Event Type: | Workshop | ||||||||||||||||||||
| Event Start Date: | 1 December 2014 | ||||||||||||||||||||
| Event End Date: | 3 December 2014 | ||||||||||||||||||||
| HGF - Research field: | Aeronautics, Space and Transport | ||||||||||||||||||||
| HGF - Program: | Space | ||||||||||||||||||||
| HGF - Program Themes: | Space System Technology | ||||||||||||||||||||
| DLR - Research area: | Raumfahrt | ||||||||||||||||||||
| DLR - Program: | R SY - Space System Technology | ||||||||||||||||||||
| DLR - Research theme (Project): | R - Vorhaben SISTEC (old) | ||||||||||||||||||||
| Location: | Köln-Porz | ||||||||||||||||||||
| Institutes and Institutions: | Institut of Simulation and Software Technology > Distributed Systems and Component Software | ||||||||||||||||||||
| Deposited By: | Thies, Jonas | ||||||||||||||||||||
| Deposited On: | 09 Dec 2014 14:28 | ||||||||||||||||||||
| Last Modified: | 24 Apr 2024 19:58 |
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