Generalized boundary element method for galerkin boundary integrals

L. C. Nicolazzi, C. S. Barcellos, E. A. Fancello, C. A.M. Duarte

Research output: Contribution to journalArticle

Abstract

A meshless approach to the Boundary Element Method in which only a scattered set of points is used to approximate the solution is presented. Moving Least Square approximations are used to build a Partition of Unity on the boundary and then used to construct, at low cost, trial and test functions for Galerkin approximations. A particular case in which the Partition of Unity is described by linear boundary element meshes, as in the Generalized Finite Element Method, is then presented. This approximation technique is then applied to Galerkin boundary element formulations. Finally, some numerical accuracy and convergence solutions for potential problems are presented for the singular, hypersingular and symmetric approaches.

Original languageEnglish (US)
Pages (from-to)494-510
Number of pages17
JournalEngineering Analysis with Boundary Elements
Volume29
Issue number5
DOIs
StatePublished - May 1 2005
Externally publishedYes

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Keywords

  • BEM p-adaptivity
  • Galerkin method
  • Hp-Clouds
  • Partition of unity
  • Symmetrical BEM

ASJC Scopus subject areas

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

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