Performance assessment of generalized elements in the finite cover method

Kenjiro Terada, Mao Kurumatani

Research output: Contribution to journalArticlepeer-review

39 Citations (Scopus)

Abstract

We perform numerical experiments to assess the performance of generalized elements that partially have a physical domain in the context of the finite cover method (FCM). The partial physical domain of interest is in a rectangular or an arbitrary shape and the comparison is made with the standard finite element model (FEM). We also report the appearance of cancellation errors in assembling elemental matrices and vectors and in treating essential boundary conditions. After making a simple convergence study, we conclude that the performance of generalized elements in the FCM are equivalent to or slightly superior to that of the FEM.

Original languageEnglish
Pages (from-to)111-132
Number of pages22
JournalFinite Elements in Analysis and Design
Volume41
Issue number2
DOIs
Publication statusPublished - 2004 Nov 1

Keywords

  • Finite cover method
  • Generalized elements
  • Manifold method
  • Meshfree methods
  • Partition of unity

ASJC Scopus subject areas

  • Analysis
  • Engineering(all)
  • Computer Graphics and Computer-Aided Design
  • Applied Mathematics

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