Three Dimensional Extended Boundary Node Method to Potential Problem

• ITOH Taku

  Faculty of Science and Technology, Seikei University, Musashino, Tokyo 180-8633, Japan

• SAITOH Ayumu

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

• KAMITANI Atsushi

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

• NAKAMURA Hiroaki

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

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.

Journal

• Plasma and Fusion Research

  Plasma and Fusion Research 5 S2111-S2111, 2010

  The Japan Society of Plasma Science and Nuclear Fusion Research

Keywords

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

Details

• CRID: 1390282680230149888
• NII Article ID: 130000669101
• DOI: 10.1585/pfr.5.s2111
• ISSN: 18806821
• Web Site: http://www.jstage.jst.go.jp/article/pfr/5/0/5_0_S2111/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed