基于多尺度分析的多重网格法  

Multiresolution Based Multigrid Methods

作　　者：孙洁[1] 

机构地区：[1]浙江机电职业技术学院基础部,浙江杭州310053

出　　处：《宁波大学学报（理工版）》2008年第4期538-541,共4页Journal of Ningbo University：Natural Science and Engineering Edition

摘　　要：简单介绍了多重网格法和小波,并指出两者的相似之处,拓展了Briggs的思想.利用小波的多尺度分析与多重网格法的相似处,及小波基的特点构造多重网格法中从粗网格到细网格的插值以及从细网格到粗网格的限制算子,并用构造出的2个算子在多重网格系统中解决特定的椭圆方程,能得到与用传统的插值和限制算子相近的结果.Multigrid method and waveletAfter are first briefly introduced, the similarities between the two are discussed. The idea of Briggs is explored to develop wavelet based interpolation and restriction operators and use them in a multigrid setup to solve certain test problems in elliptic equations. The results are compared with the multigrid schemes using the conventional interpolation and restriction operators.

关 键 词：多重网格法 多尺度分析 小波 插值算子 限制算子 

分 类 号：O24[理学—计算数学]