Towards Textbook Efficiency for Parallel Multigrid

Journal article
(Original article)


Publication Details

Author(s): Gmeiner B, Rüde U, Stengel H, Waluga C, Wohlmuth BI
Journal: Numerical Mathematics-Theory Methods and Applications
Publisher: Nanjing University Press
Publication year: 2015
Volume: 8
Journal issue: 1
Pages range: 22-46
ISSN: 1004-8979
Language: English


Abstract


In this work, we extend Achi Brandt's notion of textbook multigrid efficiency (TME) to massively parallel algorithms. Using a finite element based geometric multigrid implementation, we recall the classical view on TME with experiments for scalar linear equations with constant and varying coefficients as well as linear systems with saddle-point structure. To extend the idea of TME to the parallel setting, we give a new characterization of a work unit (WU) in an architecture-aware fashion by taking into account performance modeling techniques. We illustrate our newly introduced parallel TME measure by large-scale computations, solving problems with up to 200 billion unknowns on a TOP-10 supercomputer.



FAU Authors / FAU Editors

Gmeiner, Björn Dr.-Ing.
Lehrstuhl für Informatik 10 (Systemsimulation)
Rüde, Ulrich Prof. Dr.
Lehrstuhl für Informatik 10 (Systemsimulation)


External institutions
Technische Universität München (TUM)


How to cite

APA:
Gmeiner, B., Rüde, U., Stengel, H., Waluga, C., & Wohlmuth, B.I. (2015). Towards Textbook Efficiency for Parallel Multigrid. Numerical Mathematics-Theory Methods and Applications, 8(1), 22-46. https://dx.doi.org/10.4208/nmtma.2015.w10si

MLA:
Gmeiner, Björn, et al. "Towards Textbook Efficiency for Parallel Multigrid." Numerical Mathematics-Theory Methods and Applications 8.1 (2015): 22-46.

BibTeX: 

Last updated on 2018-10-08 at 22:55

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