A New Matrix-Free Approach for Large-Scale Geodynamic Simulations and its Performance
Bauer S, Huber M, Mohr M, Rüde U, Wohlmuth BI (2018)
Publication Language: English
Publication Type: Conference contribution
Publication year: 2018
Pages Range: 17--30
Conference Proceedings Title: International Conference on Computational Science
ISBN: 978-3-319-93700-7
URI: https://www.iccs-meeting.org/archive/iccs2018/papers/108610015.pdf
DOI: 10.1007/978-3-319-93701-4_2
Abstract
We report on a two-scale approach for efficient matrix-free finite element simulations. The proposed method is based on surrogate element matrices constructed by low-order polynomial approximations. It is applied to a Stokes-type PDE system with variable viscosity as is a key component in mantle convection models. We set the ground for a rigorous performance analysis inspired by the concept of parallel textbook multigrid efficiency and study the weak scaling behavior on SuperMUC, a peta-scale supercomputer system. For a complex geodynamical model, we achieve a parallel efficiency of 95% on up to 47 250 compute cores. Our largest simulation uses a trillion () degrees of freedom for a global mesh resolution of 1.7 km.
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APA:
Bauer, S., Huber, M., Mohr, M., Rüde, U., & Wohlmuth, B.I. (2018). A New Matrix-Free Approach for Large-Scale Geodynamic Simulations and its Performance. In International Conference on Computational Science (pp. 17--30).
MLA:
Bauer, Simon, et al. "A New Matrix-Free Approach for Large-Scale Geodynamic Simulations and its Performance." Proceedings of the International Conference on Computational Science 2018. 17--30.
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