[Table of Contents]

Plasma and Fusion Research

Volume 7, 2406096 (2012)

Regular Articles

Application of Collocation Meshless Method to Eigenvalue Problem
Ayumu SAITOH, Taku ITOH1), Nobuyuki MATSUI, Atsushi KAMITANI2) and Hiroaki NAKAMURA3)
University of Hyogo, Himeji, Hyogo 671-2280, Japan
Seikei University, Musashino, Tokyo 180-8633, Japan
Yamagata University, Yonezawa, Yamagata 992-8510, Japan
National Institute for Fusion Science, Toki, Gifu 509-5292, Japan
(Received 9 December 2011 / Accepted 18 May 2012 / Published 26 July 2012)


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.


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

DOI: 10.1585/pfr.7.2406096


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This paper may be cited as follows:

Ayumu SAITOH, Taku ITOH, Nobuyuki MATSUI, Atsushi KAMITANI and Hiroaki NAKAMURA, Plasma Fusion Res. 7, 2406096 (2012).