TY - JOUR
T1 - A GPU-Accelerated Hybridizable Discontinuous Galerkin Method for Linear Elasticity
AU - Fabien , Maurice S.
JO - Communications in Computational Physics
VL - 2
SP - 513
EP - 545
PY - 2019
DA - 2019/12
SN - 27
DO - http://doi.org/10.4208/cicp.OA-2018-0235
UR - https://global-sci.org/intro/article_detail/cicp/13457.html
KW - GPU-acceleration, discontinuous Galerkin, hybridization, multigrid, performance
analysis.
AB - <p style="text-align: justify;">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.</p>