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 -

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.