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 language | English |
|---|---|
| Pages (from-to) | 2071-2076 |
| Number of pages | 6 |
| Journal | Applied Mathematics Letters |
| Volume | 25 |
| Issue number | 12 |
| Early online date | 5 May 2012 |
| DOIs | |
| Publication status | Published - 26 Dec 2012 |
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Keywords
- fictitious domain
- minimal stabilization method
- local projection
- Lagrange multiplier stable
Cite this
Barrenechea, G. R., & Chouly, F. (2012). A local projection stabilized method for fictitious domains. Applied Mathematics Letters, 25(12), 2071-2076. https://doi.org/10.1016/j.aml.2012.04.020