An MsFEM Type Approach for Perforated Domains

@article{Bris2014AnMT,
  title={An MsFEM Type Approach for Perforated Domains},
  author={Claude Le Bris and Fr{\'e}d{\'e}ric Legoll and Alexei Lozinski},
  journal={Multiscale Modeling & Simulation},
  year={2014},
  volume={12},
  pages={1046-1077}
}
We follow up on our previous work [C. Le Bris, F. Legoll, and A. Lozinski, Chinese Ann. Math. Ser. B, 34 (2013), pp. 113–138], where we have studied a multiscale finite element method (MsFEM) in the vein of the classical Crouzeix–Raviart FEM that is specifically adapted for highly oscillatory elliptic problems. We adapt the approach to address here a multiscale problem on a perforated domain. An additional ingredient of our approach is the enrichment of the multiscale finite element space using… CONTINUE READING

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