Finite element approximations of Green function Gx0ε based on the method of multiscale asymptotic expansions

被引：2
|
作者：
He, WM [1 ]
Lin, CS
Cui, JZ
机构：
[1] Wenzhou Univ, Dept Math, Wenzhou 325027, Peoples R China
[2] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 174卷 / 01期
基金：
中国国家自然科学基金;
关键词：
finite element algorithm; Green function; the method of multiscale asymptotic expansions; pointwise error estimate;
D O I：
10.1016/j.amc.2005.03.024
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
On basis of Fie and Cui [W.-m. He, J.-z. Cui, A pointwise estimate on the l-order approximation of G(x0)(epsilon), IMA Journal of Applied Mathematics 70 (2005) 241-269.], we propose two kinds of effective finite element algorithms to obtain numerical approxinnations of Green function G(x0)(epsilon) defined in R-2 based on the method of multiscale asymptotic expansions; we present their pointwise error estimates and analyse their computer memory and CPU timed finally, we report results from numerical experiments. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码：199 / 222
页数：24
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