A unified formulation and error estimation measure for the direct and the indirect boundary element methods in elasticity

M. Denda, Y. F. Dong

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

In this paper, given a boundary value problem for a finite elastic body in two-dimensions, a problem of representing the solution by layers of point forces (Fj) and Somigliana dislocations (Bj) is considered in the infinite homogeneous body that contains the original finite body. In the boundary element method (BEM) solution, either the boundary displacement or traction component at each node is specified, but not both. This provides us a degree of freedom to arbitrarily specify the proportion of the densities Fj and Bj to be used in the direct and the indirect BEM formulations. The nature of the BEM solution errors is identified and a unified error estimation measure with a mesh refinement scheme for both formulations is proposed.

Original languageEnglish (US)
Pages (from-to)557-564
Number of pages8
JournalEngineering Analysis with Boundary Elements
Volume25
Issue number7
DOIs
StatePublished - Jul 2001

All Science Journal Classification (ASJC) codes

  • Analysis
  • Engineering(all)
  • Computational Mathematics
  • Applied Mathematics

Keywords

  • A posteriori error estimation
  • Direct and indirect boundary element methods
  • Dislocation and point force approach
  • Unified error estimation measure

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