Evaluation on reproduction of priori knowledge in XFEM

Kazuki Shibanuma, Tomoaki Utsunomiya

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


The XFEM is a numerical method which employs an approximation including the priori knowledge of the solution by using the concept of enrichment in a local area. In this paper, the reproductions of the priori knowledge in the original XFEM and the PUFEM-based XFEM for the crack analysis were evaluated, respectively. The results showed that there is a serious lack of the reproduction of the priori knowledge in the local enrichment area close to the crack tip in case of the original XFEM. On the other hand, it was shown that the priori knowledge can be accurately reproduced over the entire enrichment in the PUFEM-based XFEM.

Original languageEnglish
Pages (from-to)424-433
Number of pages10
JournalFinite Elements in Analysis and Design
Issue number4
Publication statusPublished - Apr 2011
Externally publishedYes

All Science Journal Classification (ASJC) codes

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


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