Some Estimates for a Weighted L 2 Projection

Some Estimates for a Weighted L 2 Projection
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DOI:
10.1090/s0025-5718-1991-1066830-3
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发表时间:
1991-05
影响因子:
2
通讯作者:
J. Bramble;Jinchao Xu
J. Bramble;Jinchao Xu
中科院分区:
数学2区
文献类型:
--
作者:
J. Bramble;Jinchao Xu

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本文研究了一类加权L2投影的误差估计。得到了近似最优估计。这些估计可用于分析通常的多重网格法、多层预条件子法和区域分解法求解系数具有大跳跃间断的椭圆边值问题。
This paper is devoted to the error estimates for some weighted L2 projections. Nearly optimal estimates are obtained. These estimates can be applied to the analysis of the usual multigrid method, multilevel preconditioner and domain decomposition method for solving elliptic boundary problems whose coefficients have large jump discontinuities.