Conforming local meshfree method

Rong Tian*, Albert C. To, Wing K Liu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


This work is motivated by the current numerical limitation in multiscale simulation of ductile fracture processes at scale down to the microstructure size and aims to overcome the difficulties in 3D complicated mesh generation and locally extremely large strain analysis (local mesh distortion). The proposed 'conforming local meshfree approximation' directly and exactly satisfies displacement compatibility on a non-conforming assembly mesh. Local meshfree nodes, which can be freely placed and move on a finite element mesh, describe local large deformation. The improved accuracy on non-conforming mesh, the exactness in geometry representation on a structured mesh, and the good tolerance to mesh distortion are demonstrated by numerical examples.

Original languageEnglish (US)
Pages (from-to)335-357
Number of pages23
JournalInternational Journal for Numerical Methods in Engineering
Issue number3
StatePublished - Apr 22 2011


  • Conforming approximation
  • Large-scale parallel computing
  • Local meshfree
  • Microstructure reconstruction and simulation

ASJC Scopus subject areas

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics


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