Accuracy, Memory, and Speed Strategies in GPU-Based Finite-Element Matrix-Generation

Adam Dziekonski, Piotr Sypek, Adam Lamecki, Michal Mrozowski
Department of Microwave and Antenna Engineering, CUDA Research Center for Computational Electromagnetics, Gdansk University of Technology, Gdansk, Poland
IEEE Antennas and Wireless Propagation Letters, Volume: 11, Page(s): 1346-1349, 2012


   title={Accuracy, Memory, and Speed Strategies in GPU-Based Finite-Element Matrix-Generation},

   author={Dziekonski, A. and Sypek, P. and Lamecki, A. and Mrozowski, M.},

   journal={Antennas and Wireless Propagation Letters, IEEE},






Download Download (PDF)   View View   Source Source   



This letter presents strategies on how to optimize graphics processing unit (GPU)-based finite-element matrix-generation that occurs in the finite element method (FEM) using higher-order curvilinear elements. The goal of the optimization is to increase the speed of evaluation and assembly of large finite-element matrices on a single GPU while maintaining the accuracy of numerical integration at the desired level. For this reason, the choice of the optimal Gaussian quadratures for curvilinear finite elements focused on accuracy, memory usage, and runtime of numerical integration is discussed. Moreover, we show how to efficiently utilize symmetry of local mass and stiffness matrices on a GPU in the numerical integration step. The performance results, obtained on a workstation equipped with one Tesla C2075, indicate that the proposed strategies retain the accuracy of computations, allow generation of larger sparse linear systems, and provide 2.5-fold acceleration of GPU-based finite-element matrix-generation.
No votes yet.
Please wait...

You must be logged in to post a comment.

* * *

* * *

HGPU group © 2010-2021 hgpu.org

All rights belong to the respective authors

Contact us: