Meshfree point collocation method for elasticity and crack problems

Sang Ho Lee, Young Cheol Yoon

Research output: Contribution to journalArticlepeer-review

54 Citations (Scopus)


A generalized diffuse derivative approximation is combined with a point collocation scheme for solid mechanics problems. The derivatives are obtained from a local approximation so their evaluation is computationally very efficient. This meshfree point collocation method has other advantages: it does not require special treatment for essential boundary condition nor the time-consuming integration of a weak form. Neither the connectivity of the mesh nor differentiability of the weight function is necessary. The accuracy of the solutions is exceptional and generally exceeds that of element-free Galerkin method with linear basis. The performance and robustness are demonstrated by several numerical examples, including crack problems.

Original languageEnglish
Pages (from-to)22-48
Number of pages27
JournalInternational Journal for Numerical Methods in Engineering
Issue number1
Publication statusPublished - 2004 Sept 7

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • General Engineering
  • Applied Mathematics


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