An efficient finite element method for embedded interface problems

John Dolbow*, Isaac Harari

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


A stabilized finite element method based on the Nitsche technique for enforcing constraints leads to an efficient computational procedure for embedded interface problems. We consider cases in which the jump of a field across the interface is given, as well as cases in which the primary field on the interface is given. The finite element mesh need not be aligned with the interface geometry. We present closed-form analytical expressions for interfacial stabilization terms and simple procedures for accurate flux evaluations. Representative numerical examples demonstrate the effectiveness of the proposed methodology.

Original languageEnglish
Pages (from-to)229-252
Number of pages24
JournalInternational Journal for Numerical Methods in Engineering
Issue number2
StatePublished - 9 Apr 2009


  • Embedded interface
  • Finite element
  • Nitsche
  • Stabilization


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