[Table of Contents]

Plasma and Fusion Research

Volume 5, S2111 (2010)

Regular Articles

Three Dimensional Extended Boundary Node Method to Potential Problem
Taku ITOH, Ayumu SAITOH1), Atsushi KAMITANI2) and Hiroaki NAKAMURA3)
Faculty of Science and Technology, Seikei University, Musashino, Tokyo 180-8633, Japan
Graduate School of Engineering, University of Hyogo, Himeji, Hyogo 671-2280, Japan
Graduate School of Science and Engineering, Yamagata University, Yonezawa, Yamagata 992-8510, Japan
National Institute for Fusion Science, Toki, Gifu 509-5292, Japan
(Received 8 December 2009 / Accepted 25 February 2010 / Published 10 December 2010)


A three-dimensional boundary-node method without any integration cells has been formulated. In the proposed method, an implicit surface is assumed as a surface boundary, and the 3D local coordinates are used to evaluate surface integrals. Numerical experiments illustrate that although the computational costs of the proposed method are larger than those of the boundary element method (BEM), the proposed method enables the evaluation of surface integrals without any integration cells. In addition, the accuracy of the proposed method is almost the same as that of the BEM for the Laplace problem.


boundary node method, boundary element method, integration cell, implicit function, 3D problem

DOI: 10.1585/pfr.5.S2111


  • [1] M. K. Chati and S. Mukherjee, Int. J. Numer. Methods Eng. 47, 1523 (2000).
  • [2] Y. Ohtake, A. Belyaev, M. Alexa, G. Turk and H.-P. Seidel, ACM Trans. Graph. 22, 463 (2003).

This paper may be cited as follows:

Taku ITOH, Ayumu SAITOH, Atsushi KAMITANI and Hiroaki NAKAMURA, Plasma Fusion Res. 5, S2111 (2010).