A Domain Decomposition Preconditioner for Multiscale High-Contrast Problems
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abstract
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. 2011 Springer-Verlag Berlin Heidelberg.