An Immersed Finite Element Space and Its Approximation Capability

Z. Li, T. Lin, Yanping Lin, R. C. Rogers

Research output: Journal article publicationJournal articleAcademic researchpeer-review

130 Citations (Scopus)

Abstract

This article discusses an immersed finite element (IFE) space introduced for solving a second-order elliptic boundary value problem with discontinuous coefficients (interface problem). The IFE space is nonconforming and its partition can be independent of the interface. The error estimates for the interpolation of a function in the usual Sobolev space indicate that this IFE space has an approximation capability similar to that of the standard conforming linear finite element space based on body-fit partitions. Numerical examples of the related finite element method based on this IFE space are provided.
Original languageEnglish
Pages (from-to)338-367
Number of pages30
JournalNumerical Methods for Partial Differential Equations
Volume20
Issue number3
DOIs
Publication statusPublished - 1 May 2004
Externally publishedYes

Keywords

  • Error estimates
  • Finite element
  • Immersed interface
  • Interface problems

ASJC Scopus subject areas

  • Applied Mathematics
  • Analysis
  • Computational Mathematics

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