Application of Collocation Meshless Method to Eigenvalue Problem

• SAITOH Ayumu

  University of Hyogo

• ITOH Taku

  Seikei University

• MATSUI Nobuyuki

  University of Hyogo

• KAMITANI Atsushi

  Yamagata University

• NAKAMURA Hiroaki

  National Institute for Fusion Science

Abstract

The numerical method for solving the nonlinear eigenvalue problem has been developed by using the collocation Element-Free Galerkin Method (EFGM) and its performance has been numerically investigated. The results of computations show that the approximate solution of the nonlinear eigenvalue problem can be obtained stably by using the developed method. Therefore, it can be concluded that the developed method is useful for solving the nonlinear eigenvalue problem.

Journal

• Plasma and Fusion Research

  Plasma and Fusion Research 7 (0), 2406096-2406096, 2012

  The Japan Society of Plasma Science and Nuclear Fusion Research

Keywords

• element-free Galerkin method
• finite element method
• nonlinear eigenvalue problem
• Grad-Shafranov equation
• numerical analysis

Details

• CRID: 1390001205252933760
• NII Article ID: 130004467852
• DOI: 10.1585/pfr.7.2406096
• ISSN: 18806821
• Web Site: https://www.jstage.jst.go.jp/article/pfr/7/0/7_2406096/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed