Domain Decomposition Preconditioners for Multiscale Flows in High-Contrast Media

@article{Galvis2010DomainDP,
  title={Domain Decomposition Preconditioners for Multiscale Flows in High-Contrast Media},
  author={Juan Galvis and Yalchin Efendiev},
  journal={Multiscale Modeling & Simulation},
  year={2010},
  volume={8},
  pages={1461-1483}
}
In this paper, we study domain decomposition preconditioners for multiscale flows in high-contrast media. We consider flow equations governed by elliptic equations in heterogeneous media with a large contrast in the coefficients. Our main goal is to develop domain decomposition preconditioners with the condition number that is independent of the contrast when there are variations within coarse regions. This is accomplished by designing coarse-scale spaces and interpolators that represent… CONTINUE READING
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