New cascadic multigrid methods for two-dimensional Poisson problem based on the fourth-order compact difference scheme

被引：6
|
作者：
Li, Ming [1 ]
Li, Chenliang [1 ]
机构：
[1] Honghe Univ, Dept Math, Mengzi 661100, Yunnan, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2018年 / 41卷 / 03期
基金：
中国国家自然科学基金;
关键词：
interpolation operator; new extrapolation; fourth-order compact difference scheme; cascadic multigrid; EXTRAPOLATION; EQUATIONS;
D O I：
10.1002/mma.3831
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Based on the fourth-order compact finite difference scheme, new extrapolation cascadic multigrid methods for two-dimensional Poisson problem are presented. In these new methods, a new extrapolation operator and a spline interpolation operator are used to provide a better initial value on refined grid. Numerical experiments show the new methods have higher accuracy and better efficiency. Copyright (c) 2016 John Wiley & Sons, Ltd.
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页码：920 / 928
页数：9
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