[Table of Contents]

Plasma and Fusion Research

Volume 6, 2401089 (2011)

Regular Articles

New Implementation Method for Essential Boundary Condition to Extended Element-Free Galerkin Method: Application to Nonlinear Problem
Ayumu SAITOH, Taku ITOH1), Nobuyuki MATSUI, Atsushi KAMITANI2) and Hiroaki NAKAMURA3)
University of Hyogo, Himeji 671-2280, Japan
Seikei University, 3-3-1, Kichijoji-Kitamachi, Musashino 180-8633, Japan
Yamagata University, 4-3-16, Johnan, Yonezawa 992-8510, Japan
National Institute for Fusion Science, 322-6, Oroshi-cho, Toki 509-5292, Japan
(Received 22 December 2010 / Accepted 22 April 2011 / Published 12 July 2011)


A new method has been proposed for implementing essential boundary conditions to the Element-Free Galerkin Method (EFGM) without using the Lagrange multiplier. Furthermore, the performance of the proposed method has been investigated for a nonlinear Poisson problem. The results of computations show that, as interpolation functions become closer to delta functions, the accuracy of the solution is improved on the boundary. In addition, the accuracy of the proposed method is higher than that of the conventional EFGM. Therefore, it might be concluded that the proposed method is useful for solving the nonlinear Poisson problem.


finite element method, element-free Galerkin method, Lagrange multiplier, nonlinear problem

DOI: 10.1585/pfr.6.2401089


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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. 6, 2401089 (2011).