ADDITIVE SCHWARZ PRECONDITIONERS FOR A LOCALIZED ORTHOGONAL DECOMPOSITION METHOD
ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS(2021)
摘要
We investigate a variant of the localized orthogonal decomposition method (Henning and Peterseim, [Multiscale Model. Simul., 11 (2013), pp. 1149-1175] and Malqvist and Peterseim, [Math. Comp., 83 (2014), pp. 2583-2603]) for elliptic problems with rough coefficients. The construction of the basis of the multiscale finite element space is based on domain decomposition techniques, which is motivated by the recent work of Kornhuber, Peterseim, and Yserentant [Math. Comp., 87 (2018), pp. 2765-2774]. We also design and analyze additive Schwarz domain decomposition preconditioners for the resulting discrete problems.
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关键词
multiscale, localized orthogonal decomposition, domain decomposition, additive Schwarz
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