Regular Articles

Full Text / References

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

1)

Graduate School of Engineering, University of Hyogo, Himeji, Hyogo 671-2280, Japan

2)

Graduate School of Science and Engineering, Yamagata University, Yonezawa, Yamagata 992-8510, Japan

3)

National Institute for Fusion Science, Toki, Gifu 509-5292, Japan

(Received 8 December 2009 / Accepted 25 February 2010 / Published 10 December 2010)

Abstract

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.

Copyright (c) 2010 The Japan Society of Plasma Science and Nuclear Fusion Research

Keywords

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

DOI: 10.1585/pfr.5.S2111

Full Text

PDF format (486Kbytes)

References

• [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).