On the relationship between the multiscale finite-volume method and domain decomposition preconditioners
On the relationship between the multiscale finite-volume method and domain decomposition preconditioners
复制标题
多尺度有限体积法与域分解预处理器的关系
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
Petter E. Bjørstad
中科院分区：
文献类型：
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作者：
J. Nordbotten;Petter E. Bjørstad
在本文中，我们回顾了经典的非重叠域分解（NODD）预处理器以及新开发的多尺度控制体积（MSCV）方法。通过比较公式，我们观察到 MSCV 方法是 NODD 预处理器的特例。我们继续建议如何在多尺度背景下应用更通用的 NODD 框架以获得改进的多尺度估计。
In this paper, we review the classical nonoverlapping domain decomposition (NODD) preconditioners, together with the newly developed multiscale control volume (MSCV) method. By comparing the formulations, we observe that the MSCV method is a special case of a NODD preconditioner. We go on to suggest how the more general framework of NODD can be applied in the multiscale context to obtain improved multiscale estimates.