Towards Textbook Efficiency for Parallel Multigrid
Author(s): Gmeiner B, Rüde U, Stengel H, Waluga C, Wohlmuth BI
Publisher: Nanjing University Press
Publication year: 2015
Journal issue: 1
Pages range: 22-46
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 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/https://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.