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arxiv: 1112.1592 · v1 · pith:KGZJAILSnew · submitted 2011-12-07 · 🧮 math.NA · cs.NA

A local projection stabilized method for fictitious domains

classification 🧮 math.NA cs.NA
keywords methodfictitiouslocalprojectionaddsconvergencedomaindomains
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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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