A Simple FEM for Multi-scale Problem

被引：0

作者：

He, Wen-ming ^{[1
]}

Lin, Changsheng ^{[1
]}

机构：

[1] Wenzhou Univ, Dept Math, Wenzhou 325035, Zhejiang, Peoples R China

来源：

MEMS, NANO AND SMART SYSTEMS, PTS 1-6 | 2012年 / 403-408卷

关键词：

Multi-scale problem; Small periodic structure; Finite element method; Boundary layer;

D O I：

10.4028/www.scientific.net/AMR.403-408.2950

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

For the problem partial derivative/partial derivative x(1)(a(ij)(x/epsilon)(partial derivative u(epsilon)/partial derivative x(1)) = f(x), we present a multiscale FEM to solve it when Omega is a complete periodic structure. The algorithm holds two characteristics: First the strain exists good accuracy on boundary layer; Second the computer memory that it needs is independent of epsilon. We use numerical experiments to investigate our results.

引用

页码：2950 / 2952

页数：3