A local projection stabilized method for fictitious domains

Details A local projection stabilized method for fictitious domains A local projection stabilized method for fictitious domains

2011-12-07

arxiv.org/abs/1112.1592v1

Mathematics

Numerical Analysis

Submitted Preprint

Scientific paper

In this work a local projection stabilization method is proposed to solve a
fictitious domain problem. The method adds a suitable fluctuation term to the
formulation thus rendering the natural space for the Lagrange multiplier
stable. Stability and convergence are proved and these results are illustrated
by a numerical experiment.

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