Analysis of FETI methods for multiscale PDEs. Part II: interface variation

@article{Pechstein2011AnalysisOF,
  title={Analysis of FETI methods for multiscale PDEs. Part II: interface variation},
  author={Clemens Pechstein and Robert Scheichl},
  journal={Numerische Mathematik},
  year={2011},
  volume={118},
  pages={485-529}
}
In this article, we give a new rigorous condition number estimate of the finite element tearing and interconnecting (FETI) method and a variant thereof, all-floating FETI. We consider a scalar elliptic equation in a twoor three-dimensional domain with a highly heterogeneous (multi­ scale) diffusion coefficient. This coefficient is allowed to have large jumps not only across but also along subdomain interfaces and in the interior of the subdomains. In other words, the subdomain partitioning does… CONTINUE READING
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