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.


Authors with CRIS profile

Simon Bauer Lehrstuhl für Informatik 10 (Systemsimulation) Markus Huber Lehrstuhl für Informatik 10 (Systemsimulation) Ulrich Rüde Lehrstuhl für Informatik 10 (Systemsimulation)

Involved external institutions

Technische Universität München (TUM) DE Germany (DE)

How to cite

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.

BibTeX: Download