A two-order and two-scale computation method for nonselfadjoint elliptic problems with rapidly oscillatory coefficients

被引：4
|
作者：
Su, Fang [1 ]
Cui, Jun-zhi [2 ]
Xu, Zhan [3 ]
机构：
[1] Natl Univ Def Technol, Dept Math & Syst Sci, Changsha 410073, Hunan, Peoples R China
[2] Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China
[3] Natl Univ Def Technol, Sch Elect Sci & Engn, Changsha 410073, Hunan, Peoples R China
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2009年 / 30卷 / 12期
基金：
中国国家自然科学基金;
关键词：
nonselfadjoint elliptic problems; rapidly oscillatory coefficients; two-order and two-scale finite element method; GENERAL CONVEX DOMAINS; COMPOSITE-MATERIALS; PERIODIC CONFIGURATION;
D O I：
10.1007/s10483-009-1209-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to solve nonselfadjoint elliptic problems with rapidly oscillatory coefficients. A two-order and two-scale approximate solution expression for nonselfadjoint elliptic problems is considered, and the error estimation of the two-order and two-scale approximate solution is derived. The numerical result shows that the presented approximation solution is effective.
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页码：1579 / 1588
页数：10
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