A second-order and two-scale computation method for heat conduction equation with rapidly oscillatory coefficients

被引：10

作者：

Su, Fang ^{[1
]}

Xu, Zhan ^{[2
]}

Dong, Qiao-Li ^{[3
]}

Li, Hou-Sen ^{[1
]}

机构：

[1] Natl Univ Def Technol, Dept Math & Syst Sci, Changsha 410073, Hunan, Peoples R China

[2] Natl Univ Def Technol, Sch Elect Sci & Engn, Changsha 410073, Hunan, Peoples R China

[3] Civil Aviat Univ China, Coll Sci, Tianjin 300300, Peoples R China

来源：

FINITE ELEMENTS IN ANALYSIS AND DESIGN | 2011年 / 47卷 / 03期

关键词：

Heat conduction equation; Second-order and two-scale solution; Finite element method; Homogenization method; Euler format; GENERAL CONVEX DOMAINS; ELLIPTIC PROBLEMS;

D O I：

10.1016/j.finel.2010.10.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents a second-order and two-scale computation method of initial-boundary value problem for heat conduction equation with rapidly oscillating coefficients. This method can be applied to heat conduction analysis of composite materials. The main advantages of this method are that it can greatly save computer memory and CPU time, and it possesses good precision at the same time. Finally numerical results show that the presented method is effective and reliable. Crown Copyright (c) 2010 Published by Elsevier B.V. All rights reserved.

引用

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页码：276 / 280

页数：5

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