A local projection stabilized method for fictitious domains

Barrenechea, Gabriel R. and Chouly, Franz (2012) A local projection stabilized method for fictitious domains. Applied Mathematics Letters, 25 (12). pp. 2071-2076. ISSN 0893-9659 (https://doi.org/10.1016/j.aml.2012.04.020)

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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.

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• Item metadata

  Item type:	Article
  ID code:	43274
  Dates:	Date Event 26 December 2012 Published 5 May 2012 Published Online
  Subjects:	Science > Mathematics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Pure Administrator
  Date deposited:	19 Mar 2013 16:15
  Last modified:	24 Apr 2024 00:13
  Related URLs:	Journal or Publication
  URI:	https://strathprints.strath.ac.uk/id/eprint/43274