New Implementation Method for Essential Boundary Condition to Extended Element-Free Galerkin Method: Application to Nonlinear Problem

• SAITOH Ayumu

  University of Hyogo, Himeji 671-2280, Japan

• ITOH Taku

  Seikei University, 3-3-1, Kichijoji-Kitamachi, Musashino 180-8633, Japan

• MATSUI Nobuyuki

  University of Hyogo, Himeji 671-2280, Japan

• KAMITANI Atsushi

  Yamagata University, 4-3-16, Johnan, Yonezawa 992-8510, Japan

• NAKAMURA Hiroaki

  National Institute for Fusion Science, 322-6, Oroshi-cho, Toki 509-5292, Japan

Abstract

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.

Journal

• Plasma and Fusion Research

  Plasma and Fusion Research 6 2401089-2401089, 2011

  The Japan Society of Plasma Science and Nuclear Fusion Research

Keywords

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

Details

• CRID: 1390282680230086528
• NII Article ID: 130002059510
• DOI: 10.1585/pfr.6.2401089
• ISSN: 18806821
• Web Site: http://www.jstage.jst.go.jp/article/pfr/6/0/6_0_2401089/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed