Plasma and Fusion Research
Volume 7, 2406096 (2012)
Regular Articles
- University of Hyogo, Himeji, Hyogo 671-2280, Japan
- 1)
- Seikei University, Musashino, Tokyo 180-8633, Japan
- 2)
- Yamagata University, Yonezawa, Yamagata 992-8510, Japan
- 3)
- National Institute for Fusion Science, Toki, Gifu 509-5292, Japan
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.
Keywords
element-free Galerkin method, finite element method, nonlinear eigenvalue problem, Grad-Shafranov equation, numerical analysis
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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).