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

Fumio Kikuchi, Issei Oikawa, Issei Oikawa

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)395-404
Number of pages10
JournalTheoretical and Applied Mechanics Japan
Volume57
Publication statusPublished - 2009
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mathematics(all)

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