A Domain Decomposition Preconditioner for Multiscale High-Contrast Problems

@inproceedings{Efendiev2009ADD,
  title={A Domain Decomposition Preconditioner for Multiscale High-Contrast Problems},
  author={Yalchin Efendiev and Juan Galvis},
  year={2009}
}
We present a new class of coarse spaces for two-level additive Schwarz preconditioners that yield condition number bound independent of the contrast in the media properties. These coarse spaces are an extension of the spaces discussed in [3]. Second order elliptic equations are considered. We present theoretical and numerical results. Detailed description of the results and numerical studies will be presented elsewhere. 

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