Discontinuous Galerkin FEM of hybrid displacement type - development of polygonal elements -

Fumio Kikuchi*, Issei Oikawa, Issei Oikawa

*この研究の対応する著者

研究成果: Article査読

3 被引用数 (Scopus)

抄録

As a discontinuous Galerkin FEM, we propose a formulation based on Tongs hybrid displacement method and the stabilization technique, and develop polygonal elements for linear static plane stress problems. The basic ideas are the introduction of inter-element displacements and the use of stabilization terms. Here we only present polygonal elements with discontinuous linear polynomial fields for element displacements and continuous piecewise linear polynomial fields for inter-element displacements. By static condensation, we can also obtain the usual element stiffness matrices and the element load vectors for nodal inter-element edge displacements. We obtain some numerical results to show the validity of our approach and also to see the influence of the stabilization parameter size and the flexibility in element shape.

本文言語English
ページ(範囲)395-404
ページ数10
ジャーナルTheoretical and Applied Mechanics Japan
57
出版ステータスPublished - 2009
外部発表はい

ASJC Scopus subject areas

  • 凝縮系物理学
  • 材料力学
  • 数学 (全般)

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