A local projection stabilized method for fictitious domains

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Abstract

In this work a local projection stabilization method is proposed for solving a fictitious domain problem. The method adds a suitable fluctuation term to the formulation, thus yielding the natural space for the Lagrange multiplier stable. Stability and convergence are proved and these results are illustrated with a numerical experiment.
Original languageEnglish
Pages (from-to)2071-2076
Number of pages6
JournalApplied Mathematics Letters
Volume25
Issue number12
Early online date5 May 2012
DOIs
Publication statusPublished - 26 Dec 2012

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Keywords

  • fictitious domain
  • minimal stabilization method
  • local projection
  • Lagrange multiplier stable

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