Efficient Evaluation of Influence Coefficients in Three-Dimensional Extended Boundary-Node Method for Potential Problems

• ITOH Taku

  Seikei University, 3-3-1, Kichijoji-Kitamachi, Musashino, Tokyo 180-8633, Japan

• SAITOH Ayumu

  University of Hyogo, 2167, Shosha, Himeji, Hyogo 671-2280, Japan

• KAMITANI Atsushi

  Yamagata University, 4-3-16, Johnan, Yonezawa, Yamagata 992-8510, Japan

• NAKAMURA Hiroaki

  National Institute for Fusion Science, 322-6 Oroshi-cho, Toki, Gifu 509-5292, Japan

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.

Journal

• Plasma and Fusion Research

  Plasma and Fusion Research 6 2401106-2401106, 2011

  The Japan Society of Plasma Science and Nuclear Fusion Research

Keywords

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

Details

• CRID: 1390001205253371136
• NII Article ID: 130002059516
• DOI: 10.1585/pfr.6.2401106
• ISSN: 18806821
• Web Site: http://www.jstage.jst.go.jp/article/pfr/6/0/6_0_2401106/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed