Volume 27, Issue 2
A GPU-Accelerated Hybridizable Discontinuous Galerkin Method for Linear Elasticity

Maurice S. Fabien

10.4208/cicp.OA-2018-0235

Commun. Comput. Phys., 27 (2020), pp. 513-545.

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  • Abstract

We design and analyze an efficient GPU-accelerated hybridizable discontinuous Galerkin method for linear elasticity. Performance analysis of the method is done using the state-of-the-art Time-Accuracy-Size (TAS) spectrum. TAS is a new performance measure which takes into account the accuracy of the solution. Standard performance measures, like floating point operations or run-time, are not completely appropriate for gauging the performance of approximations of continuum mechanics problems, as they neglect the solutions accuracy. A standard roofline model demonstrates that our method is utilizing computational resources efficiently, and as such, significant speed ups over a serial implementation are obtained. By combining traditional performance measures and the novel time-accuracy measures [7] into our performance model, we are able to draw more complete conclusions about which discretizations are best suited for an application. Several numerical experiments validate and verify our numerical scheme.

  • History

Published online: 2019-12

  • AMS Subject Headings

65Y05, 74S05, 65N30, 65N55

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