Performance Improvement of Extended Boundary Node Method for Solving Elliptic Boundary-Value Problems

• SAITOH Ayumu

  Graduate School of Science and Engineering, Yamagata University

• TAKAYAMA Teruou

  Department of Informatics, Yamagata University

• KAMITANI Atsushi

  Graduate School of Science and Engineering, Yamagata University

• NAKAMURA Hiroaki

  National Institute for Fusion Science

Abstract

The extended boundary-node method (X-BNM) with the hierarchical-matrix (H-matrix) method has been developed and its performance has been investigated numerically. The results of computations show that the solver speed of the X-BNM with the H-matrix method is much faster than that of the standard X-BNM for the case where the number of boundary nodes exceeds a certain limit. Furthermore, the accuracy of the X-BNM with the H-matrix method is almost equal to that of the standard X-BNM. From these results, it is found that the H-matrix method is useful as the acceleration technique of the X-BNM.

Journal

• Plasma and Fusion Research

  Plasma and Fusion Research 11 (0), 2401062-2401062, 2016

  The Japan Society of Plasma Science and Nuclear Fusion Research

Keywords

• elliptic boundary-value problems
• boundary integral equations
• meshless method
• Krylov subspace methods
• <i>H</i>-matrix
• numerical analysis

Details

• CRID: 1390282680231584256
• NII Article ID: 130005330474
• NII Book ID: AA12346675
• DOI: 10.1585/pfr.11.2401062
• ISSN: 18806821
• HANDLE: 10655/00013331
• Web Site: https://nifs-repository.repo.nii.ac.jp/records/11403
• Web Site: https://www.jstage.jst.go.jp/article/pfr/11/0/11_2401062/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • IRDB
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed