Wavelet-based numerical homogenization

被引：86

作者：

Dorobantu, M ^{[1
]}

Engquist, B

机构：

[1] Royal Inst Technol, S-10044 Stockholm, Sweden

[2] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90024 USA

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1998年 / 35卷 / 02期

关键词：

elliptic operators; homogenization; wavelets;

D O I：

10.1137/S0036142996298880

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A numerical homogenization procedure for elliptic differential equations is presented. It is based on wavelet decompositions of discrete operators in fine and coarse scale components followed by the elimination of the fine scale contributions. If the operator is in divergence form, this is preserved by the homogenization procedure. For periodic problems, results similar to classical effective coefficient theory are proved. The procedure can be applied to problems that are not cell-periodic.

引用

页码：540 / 559

页数：20

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