A local projection stabilized method for fictitious domains

Gabriel R. Barrenechea, Franz Chouly

Research output: Contribution to journal › Article

11 Citations (Scopus)

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.
LanguageEnglish
Pages2071-2076
Number of pages6
JournalApplied Mathematics Letters
Volume25
Issue number12
Early online date5 May 2012
DOIs
Publication statusPublished - 26 Dec 2012

Fingerprint

Fictitious Domain
Stabilized Methods
Lagrange multipliers
Projection Method
Stabilization
Stability and Convergence
Experiments
Numerical Experiment
Projection
Fluctuations
Formulation
Term

Keywords

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

Cite this

Barrenechea, Gabriel R. ; Chouly, Franz. / A local projection stabilized method for fictitious domains. In: Applied Mathematics Letters. 2012 ; Vol. 25, No. 12. pp. 2071-2076.
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Barrenechea, GR & Chouly, F 2012, 'A local projection stabilized method for fictitious domains' Applied Mathematics Letters, vol. 25, no. 12, pp. 2071-2076. https://doi.org/10.1016/j.aml.2012.04.020

A local projection stabilized method for fictitious domains. / Barrenechea, Gabriel R.; Chouly, Franz.

In: Applied Mathematics Letters, Vol. 25, No. 12, 26.12.2012, p. 2071-2076.

Research output: Contribution to journal › Article

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Barrenechea GR, Chouly F. A local projection stabilized method for fictitious domains. Applied Mathematics Letters. 2012 Dec 26;25(12):2071-2076. https://doi.org/10.1016/j.aml.2012.04.020

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