Towards Textbook Efficiency for Parallel Multigrid

Gmeiner B, Rüde U, Stengel H, Waluga C, Wohlmuth BI (2015)

Publication Language: English

Publication Type: Journal article, Original article

Publication year: 2015


Publisher: Nanjing University Press

Book Volume: 8

Pages Range: 22-46

Journal Issue: 1


DOI: 10.4208/nmtma.2015.w10si


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.

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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.


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

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