中国科学A辑(英文版)
中國科學A輯(英文版)
중국과학A집(영문판)
SCIENCE IN CHINA
2002年
12期
1588-1602
,共15页
曹礼群%崔俊芝%诸德超%罗剑兰
曹禮群%崔俊芝%諸德超%囉劍蘭
조례군%최준지%제덕초%라검란
spectral analysis%multiscale asymptotic expansion%second order elliptic operator%rapidly oscillating coefficient%perforated domain
This paper discusses the spectral properties and numerical simulation for the second order elliptic operators with rapidly oscillating coefficients in the domains which may contain small cavities distributed periodically with period ε. A multiscale asymptotic analysis formula for this problem is obtained by constructing properly the boundary layer. Finally, numerical results are given, which provide a strong support for the analytical estimates.
