MULTISCALE COMPUTATION OF A STEKLOV EIGENVALUE PROBLEM WITH RAPIDLY OSCILLATING COEFFICIENTS

被引：0

作者：

Cao, Li-Qun ^{[1
]}

Zhang, Lei ^{[2
,3
]}

Allegretto, Walter ^{[4
]}

Lin, Yanping ^{[4
,5
]}

机构：

[1] Chinese Acad Sci, State Key Lab Sci & Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China

[2] Logist Acad, Dept Logist Management, Beijing 100858, Peoples R China

[3] Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100190, Peoples R China

[4] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada

[5] Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China

来源：

INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING | 2013年 / 10卷 / 01期

基金：

加拿大自然科学与工程研究理事会; 中国国家自然科学基金;

关键词：

Steklov eigenvalue problem; multiscale method; superapproximation estimate; NUMERICAL BOUNDARY CORRECTOR; FINITE-ELEMENT-METHOD; ELLIPTIC-EQUATIONS; HOMOGENIZED EIGENVALUES; 1ST-ORDER CORRECTIONS; CONVERGENCE; APPROXIMATION; VIBRATIONS; BANDS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider the multiscale computation of a Steklov eigenvalue problem with rapidly oscillating coefficients. The new contribution obtained in this paper is a superapproximation estimate for solving the homogenized Steklov eigenvalue problem and to present a multiscale numerical method. Numerical simulations are then carried out to validate the theoretical results reported in the present paper.

引用

页码：42 / 73

页数：32

共 43 条

[1] VIBRATIONS OF A PENDULUM CONSISTING OF A BOB SUSPENDED FROM A WIRE - THE METHOD OF INTEGRAL-EQUATIONS [J].