High Order Compact Difference Scheme and Multigrid Method for 2D Elliptic Problems with Variable Coefficients and Interior/Boundary Layers on Nonuniform Grids

High Order Compact Difference Scheme and Multigrid Method for 2D Elliptic Problems with Variable Coefficients and Interior/Boundary Layers on Nonuniform Grids
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非均匀网格上变系数和内/边界层二维椭圆问题的高阶紧致差分格式和多重网格方法

DOI:
10.4236/jamp.2015.35063
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发表时间:
2015-05
期刊:
Journal of Applied Mathematics and Physics
影响因子:
--
通讯作者:
Yong Zhan
Yong Zhan
中科院分区:
其他
文献类型:
--
作者:
Bin Lan;Yongbin Ge;Yan Wang;Yong Zhan

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本文提出了一种高阶紧致差分格式和多重网格法,用于求解非均匀网格上具有内/边界层的二维变系数椭圆型问题。首先,原方程为
In this paper, a high order compact difference scheme and a multigrid method are proposed for solving two-dimensional (2D) elliptic problems with variable coefficients and interior/boundary layers on nonuniform grids. Firstly, the original equation is
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