English

A local projection stabilized method for fictitious domains

Numerical Analysis 2011-12-08 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1112.1592,
  title  = {A local projection stabilized method for fictitious domains},
  author = {Gabriel Raúl Barrenechea and Franz Chouly},
  journal= {arXiv preprint arXiv:1112.1592},
  year   = {2011}
}

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Submitted Preprint

R2 v1 2026-06-21T19:47:51.303Z