Accuracy, memory, and speed strategies in GPU-based finite-element matrix-generation

IEEE Antennas and Wireless Propagation Letters

Volumn 11, Issue , 2012, Pages 1346-1349

  Dziekonski, Adam ^a   Sypek, Piotr ^a   Lamecki, Adam ^a   Mrozowski, Michal ^a  

^a GDANSK UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Finite element matrix generation; Gaussian quadrature; graphics processing unit (GPU)

Indexed keywords

CURVILINEAR ELEMENTS; FINITE ELEMENT METHOD FEM; FINITE-ELEMENT; GAUSSIAN QUADRATURES; GRAPHICS PROCESSING UNIT; MEMORY USAGE; NUMERICAL INTEGRATIONS; RUNTIMES; SPARSE LINEAR SYSTEMS; STIFFNESS MATRICES;

COMPUTER GRAPHICS; FINITE ELEMENT METHOD; LINEAR SYSTEMS; OPTIMIZATION; PROGRAM PROCESSORS; STIFFNESS MATRIX;

COMPUTER GRAPHICS EQUIPMENT;

EID: 84871025463     PISSN: 15361225     EISSN: None     Source Type: Journal    
DOI: 10.1109/LAWP.2012.2227449     Document Type: Article

References (13)

1. J. L. Volakis, A. Chatterjee, and L. C. Kempel, Finite Element Method for Electromagnetics. Antennas, Microwave Circuits and Scattering Applications, ser. IEEE Series on ElectromagneticWave Theory. Piscataway, NJ: IEEE Press, 1998.
2. P. Sypek, A. Dziekonski, and M. Mrozowski, "How to render FDTD computations more effective using a graphics accelerator," IEEE Trans. Magn., vol. 45, no. 3, pp. 1324-1327, Mar. 2009.
3. T. Topa, A. Noga, and A. Karwowski, "Adapting MoM with RWG basis functions to GPU technology using CUDA," IEEE Antennas Wireless Propag. Lett., vol. 10, pp. 480-483, 2011.
4. A. Dziekonski, P. Sypek, A. Lamecki, and M. Mrozowski, "Finite element matrix generation on a GPU," Prog. Electromagn. Res., vol. 128, pp. 249-265, 2012.
5. P. Maciol, P. Plaszewski, and K. Banas, "3D finite element numerical integration on GPUs," Procedia Comput. Sci., vol. 1, no. 1, pp. 1093-1100, 2010.
6. G. Markall, A. Slemmer, D. Ham, P. Kelly, C. Cantwell, and S. Sherwin, "Finite element assembly strategies on multi-core and many-core architectures," Int. J. Numer. Methods Fluids, vol. 7, no. 1, pp. 80-97, 2013.
7. C. Cecka, A. J. Lew, and E. Darve, "Assembly of finite element methods on graphics processors," Int. J. Numer. Methods. Eng., vol. 85, no. 3, pp. 640-669, 2011.
8. A. Dziekonski, A. Lamecki, and M. Mrozowski, "Tuning a hybrid GPU-CPU V-cycle multilevel preconditioner for solving large real and complex systems of FEM equations," IEEE Antennas Wireless Propag. Lett., vol. 10, pp. 619-622, 2011.
9. M. M Dehnavi, D. M. Fernandez, and D. Giannacopoulos, "Finite-element sparse matrix vector multiplication on graphic processing units," IEEE Trans. Magn., vol. 46, no. 8, pp. 2982-2985, Aug. 2010.
10. L. Zhang, T. Cui, and H. Liu, "A set of symmetric quadrature rules on triangles and tetrahedral," J. Comput. Math., vol. 26, no. 3, pp. 1-16, 2008.
11. P. Ingelstrom, "A new set of H(curl)-conforming hierarchical basis functions for tetrahedral meshes," IEEE Trans. Microw. Theory Tech., vol. 54, no. 1, pp. 106-114, Jan. 2006. (Pubitemid 43119789)
12. Y. Saad, Iterative Methods for Sparse Linear Systems. Philadelphia, PA: SIAM, 2004.
13. "CUDA Programming Guide," Nvidia Corporation, Santa Clara, CA, 2012.