On the acceleration of the numerical solution of partial differential equations using radial basis functions and graphics processing units

被引：1

作者：

Hutchcraft, W. Elliott ^{[1
]}

Woolsey, Maxwell ^{[1
]}

Gordon, Richard K. ^{[1
]}

机构：

[1] Univ Mississippi, Dept Elect Engn, Univ Oxford, MS 38677 USA

来源：

INTERNATIONAL JOURNAL OF NUMERICAL MODELLING-ELECTRONIC NETWORKS DEVICES AND FIELDS | 2013年 / 26卷 / 04期

关键词：

graphics processing units; radial basis functions; partial differential equation techniques; meshless methods;

D O I：

10.1002/jnm.1837

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

General purpose computation on graphics processing units is becoming very important as a means for speeding up numerical computations. In this research, nVidia's Compute Unified Device Architecture (CUDA) language is used along with a graphics processing unit to accelerate the generation of the system matrix for the numerical solution of a partial differential equation employing radial basis functions. Details of the CUDA implementation as well as speedup curves using several different graphics processing units will be discussed. Copyright (c) 2012 John Wiley & Sons, Ltd.

引用

页码：415 / 423

页数：9

共 14 条

[1] [Anonymous], **NON-TRADITIONAL**
[2] [Anonymous], 2008, NVIDIA CUDA COMP UN
[3] Bermani E, 2000, MICROW OPT TECHN LET, V24, P13, DOI 10.1002/(SICI)1098-2760(20000105)24:1<13::AID-MOP5>3.0.CO
[4] 2-9
[5] Brook for GPUs: Stream computing on graphics hardware
Buck, I
Foley, T
Horn, D
Sugerman, J
Fatahalian, K
Houston, M
Hanrahan, P
[J]. ACM TRANSACTIONS ON GRAPHICS, 2004, 23 (03): : 777 - 786
[6] Exponential convergence and H-c multiquadric collocation method for partial differential equations
Cheng, AHD
Golberg, MA
Kansa, EJ
Zammito, G
[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2003, 19 (05) : 571 - 594
[7] SOLUTION OF INVERSE PROBLEMS IN ELECTROMAGNETICS USING HOPFIELD NEURAL NETWORKS
ELSHAFIEY, I
UDPA, L
UDPA, SS
[J]. IEEE TRANSACTIONS ON MAGNETICS, 1995, 31 (01) : 852 - 861
[8] Continuation for nonlinear elliptic partial differential equations discretized by the multiquadric method
Fedoseyev, AI
Friedman, MJ
Kansa, EJ
[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2000, 10 (02): : 481 - 492
[9] Two Approaches for the Numerical Determination of Electromagnetic Fields Near Material Interfaces Using Radial Basis Functions in a Mesh less Method
Gordon, Richard K.
Hutchcraft, W. Elliott
[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2010, 26 (04) : 945 - 956
[10] Liu GS, 1996, ICR '96 - 1996 CIE INTERNATIONAL CONFERENCE OF RADAR, PROCEEDINGS, P208, DOI 10.1109/ICR.1996.573808

← 1 2 →