Spectral analysis and numerical simulation for second order elliptic operator with highly oscillating coefficients in perforated domains with a periodic structure

被引：0

作者：

曹礼群

罗剑兰

崔俊芝

诸德超

机构：

来源：

ScienceinChina,SerA. | 2002年 / Ser.A.2002卷 / 12期

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中图分类号：

O175.3 [微分算子理论];

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摘要：

<正> 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.

引用

页码：1588 / 1602

页数：15

共 13 条

[1] Spectral analysis and numerical simulation for second order elliptic operator with highly oscillating coefficients in perforated domains with a periodic structure
Cao, LQ
Cui, JZ
Zhu, DC
Luo, JL
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 2002, 45 (12): : 1588 - 1602
[2] Spectral analysis and numerical simulation for second order elliptic operator with highly oscillating coefficients in perforated domains with a periodic structure
Cao Liqun
Cui Junzhi
Zhu Dechao
Luo Jianlan
Science in China Series A: Mathematics, 2002, 45 (12): : 1588 - 1602
[3] Spectral analysis and numerical simulation for second order elliptic operator with highly oscillating coefficients in perforated domains with a periodic structure
曹礼群
罗剑兰
崔俊芝
诸德超
Science China Mathematics, 2002, (12) : 1588 - 1602
[4] Numerical approximations of a second order elliptic equation with highly oscillating coefficients
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[5] MultiScale Asymptotic Analysis Method with High Accuracy for the Second Order Elliptic Equation with Oscillating Periodic Coefficients in Perforated Domain
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[6] Multiscale asymptotic analysis and numerical simulation for the second order Helmholtz equations with rapidly oscillating coefficients over general convex domains
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[8] Asymptotic expansions and numerical algorithms of eigenvalues and eigenfunctions of the Dirichlet problem for second order elliptic equations in perforated domains
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[9] Asymptotic expansions and numerical algorithms of eigenvalues and eigenfunctions of the Dirichlet problem for second order elliptic equations in perforated domains
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Numerische Mathematik, 2004, 96 : 525 - 581
[10] AVERAGING OF SOLUTIONS OF THE NEUMANN PROBLEM FOR A 2ND-ORDER ELLIPTIC EQUATION AND SYSTEMS IN ELASTICITY THEORY WITH RAPIDLY OSCILLATING PERIODIC COEFFICIENTS ON A PERFORATED DOMAIN
IOSIFYAN, GA
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