[Table of Contents]

Plasma and Fusion Research

Volume 9, 3401061 (2014)

Regular Articles

Speed-Up Technique of Extended Boundary Node Method for Large-Scale Simulation
Ayumu SAITOH, Atsushi KAMITANI1) and Hiroaki NAKAMURA2)
University of Hyogo, 2167 Shosha, Himeji, Hyogo 671-2280, Japan
Yamagata University, 4-3-16 Johnan, Yonezawa, Yamagata 992-8510, Japan
National Institute for Fusion Science, 322-6 Oroshi-cho, Toki, Gifu 509-5292, Japan
(Received 12 December 2013 / Accepted 17 March 2014 / Published 10 June 2014)


The eXtended Boundary Node Method (X-BNM) with the periodic Radial Point Interpolation Method (RPIM) shape function is proposed and its performance is investigated numerically. The results of computations show that the accuracy of the X-BNM with the periodic RPIM shape function is almost equal to that with the Moving Least-Squares (MLS) shape function. In addition, the speed of the X-BNM with the periodic RPIM shape function is extremely faster than that with the MLS shape function. Therefore, the periodic RPIM shape function is useful for improving the performance of the X-BNM.


boundary node method, boundary integral equations, boundary value problems, kronecker delta function propaty, meshless methods, numerical analysis

DOI: 10.1585/pfr.9.3401061


  • [1] M. Itagaki and T. Fukunaga, Eng. Anal. Bound. Elem. 30, 746 (2006).
  • [2] Y.X. Mukherjee and S. Mukherjee, Int. J. Numer. Meth. Eng. 40, 797 (1997).
  • [3] A. Saitoh, S. Nakata, S. Tanaka and A. Kamitani, Information 12(5), 973 (2009) [in Japanese].
  • [4] A. Saitoh, N. Matsui, T. Itoh and A. Kamitani, IEEE Trans. Magn. 47(5), 1222 (2011).
  • [5] A. Saitoh, K. Miyashita, T. Itoh, A. Kamitani, T. Isokawa, N. Kamiura and N. Matsui, IEEE Trans. Magn. 49(5), 1601 (2013).
  • [6] J.G. Wang and G.R. Liu, Int. J. Numer. Meth. Eng. 54(11), 1623 (2002).
  • [7] A. Saitoh, T. Itoh, N. Matsui and A. Kamitani, IEEE Trans. Magn. 50(2), 7011404 (2014).
  • [8] C.S. Chen, C.A. Brebbia and H. Power, Commun. Numer. Meth. Eng. 15, 137 (1999).

This paper may be cited as follows:

Ayumu SAITOH, Atsushi KAMITANI and Hiroaki NAKAMURA, Plasma Fusion Res. 9, 3401061 (2014).