Application of Collocation Meshless Method to Eigenvalue Problem

Ayumu SAITOH; Taku ITOH; Nobuyuki MATSUI; Atsushi KAMITANI; Hiroaki NAKAMURA

doi:10.1585/pfr.7.2406096

Regular Articles

Application of Collocation Meshless Method to Eigenvalue Problem

Ayumu SAITOH, Taku ITOH, Nobuyuki MATSUI, Atsushi KAMITANI, Hiroaki NAKAMURA

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

JOURNAL FREE ACCESS

2012 Volume 7 Pages 2406096

DOI https://doi.org/10.1585/pfr.7.2406096

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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.

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