[Table of Contents]

Plasma and Fusion Research

Volume 5, S2108 (2010)

Regular Articles

Application of Two Dimensional Extended Boundary Node Method to Potential Problem
Ayumu SAITOH, Taku ITOH1), Atsushi KAMITANI2), Nobuyuki MATSUI and Hiroaki NAKAMURA3)
Graduate School of Engineering, University of Hyogo, Himeji 671-2280, Japan
Faculty of Science and Technology, Seikei University, Musashino 180-8633, Japan
Graduate School of Science and Engineering, Yamagata University, Yonezawa 992-8510, Japan
Department of Simulation Science, National Institute for Fusion Science, Toki 509-5292, Japan
(Received 7 December 2009 / Accepted 25 February 2010 / Published 10 December 2010)


The boundary node method has been reformulated without using any integration cells and its performance has been investigated by comparing with the dual reciprocal boundary element method (DRM). The results of computations show that the accuracy of the proposed method is superior to that of the DRM regardless of the number of a boundary node, a boundary condition and a boundary shape. In addition, when the number of boundary nodes exceeds a certain limit, the calculation speed of the proposed method becomes almost equal to that of the DRM.


boundary element method, boundary integral equation, boundary value problem, numerical analysis

DOI: 10.1585/pfr.5.S2108


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This paper may be cited as follows:

Ayumu SAITOH, Taku ITOH, Atsushi KAMITANI, Nobuyuki MATSUI and Hiroaki NAKAMURA, Plasma Fusion Res. 5, S2108 (2010).