A conforming finite element method for overlapping and nonmatching grids

Yunqing Huang, Jinchao Xu

Research output: Contribution to journalArticlepeer-review

30 Scopus citations


In this paper we propose a finite element method for nonmatching overlapping grids based on the partition of unity. Both overlapping and nonoverlapping cases are considered. We prove that the new method admits an optimal convergence rate. The error bounds are in terms of local mesh sizes and they depend on neither the overlapping size of the subdomains nor the ratio of the mesh sizes from different subdomains. Our results are valid for multiple subdomains and any spatial dimensions.
Original languageEnglish (US)
Pages (from-to)1057-1066
Number of pages10
JournalMathematics of Computation
Issue number243
StatePublished - Jul 1 2003
Externally publishedYes

Bibliographical note

Generated from Scopus record by KAUST IRTS on 2023-02-15

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Computational Mathematics
  • Applied Mathematics


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