An efficient finite element method for embedded interface problems

John Dolbow, Isaac Harari

Research output: Contribution to journalArticlepeer-review

Abstract

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
Volume78
Issue number2
DOIs
StatePublished - 9 Apr 2009

Keywords

  • Embedded interface
  • Finite element
  • Nitsche
  • Stabilization

Fingerprint

Dive into the research topics of 'An efficient finite element method for embedded interface problems'. Together they form a unique fingerprint.

Cite this