Higher-order homogenization of initial/boundary-value problem

被引：92

作者：

Fish, J ^{[1
]}

Chen, W ^{[1
]}

机构：

[1] Rensselaer Polytech Inst, Dept Civil Mech & Aerosp Engn, Troy, NY 12180 USA

来源：

JOURNAL OF ENGINEERING MECHANICS-ASCE | 2001年 / 127卷 / 12期

关键词：

D O I：

10.1061/(ASCE)0733-9399(2001)127:12(1223)

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Higher-order homogenization of an initial/boundary-value problem with oscillatory coefficients in one dimension is studied. Validity range and limitations of the theory are established. We show that the higher terms are necessary to account for wave dispersion but introduce secular terms that grow unbounded in time. Numerical procedures requiring superconvergent recovery of higher-order derivatives are described.

引用

页码：1223 / 1230

页数：8

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