Plasma and Fusion Research

Volume 6, 2401106 (2011)

Regular Articles

Efficient Evaluation of Influence Coefficients in Three-Dimensional Extended Boundary-Node Method for Potential Problems
Taku ITOH, Ayumu SAITOH1), Atsushi KAMITANI2) and Hiroaki NAKAMURA3)
Seikei University, 3-3-1, Kichijoji-Kitamachi, Musashino, Tokyo 180-8633, Japan
1)
University of Hyogo, 2167, Shosha, Himeji, Hyogo 671-2280, Japan
2)
Yamagata University, 4-3-16, Johnan, Yonezawa, Yamagata 992-8510, Japan
3)
National Institute for Fusion Science, 322-6 Oroshi-cho, Toki, Gifu 509-5292, Japan
(Received 21 December 2010 / Accepted 14 February 2011 / Published 27 July 2011)

Abstract

For the purpose of speed-up of the three-dimensional eXtended Boundary-Node Method (X-BNM), an efficient algorithm for evaluating influence coefficients has been developed. The algorithm can be easily implemented into the X-BNM without using any integration cells. By applying the resulting X-BNM to the Laplace problem, the performance of the algorithm is numerically investigated. The numerical experiments show that, by using the algorithm, computational costs for evaluating influence coefficients in the X-BNM are reduced considerably. Especially for a large-sized problem, the algorithm is efficiently performed, and the computational costs of the X-BNM are close to those of the Boundary-Element Method (BEM). In addition, for the problem, the X-BNM shows almost the same accuracy as that of the BEM.

Keywords

boundary-node method, boundary-element method, influence coefficient, integration cell, implicit function

DOI: 10.1585/pfr.6.2401106

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References

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This paper may be cited as follows:

Taku ITOH, Ayumu SAITOH, Atsushi KAMITANI and Hiroaki NAKAMURA, Plasma Fusion Res. 6, 2401106 (2011).