[1]夏茂辉,赵玉凤,吕鹏,等.改进型无网格迦辽金法在稳定热传导中的应用[J].郑州大学学报(工学版),2012,33(06):71-74.[doi:10.3969/j.issn.1671-6833.2012.06.017]
　XlA Maohui,ZHA0 Yufeng,LV Peng,et al.Application of Improved Element-free Galerkin Method in Stable Heat Conduction[J].Journal of Zhengzhou University (Engineering Science),2012,33(06):71-74.[doi:10.3969/j.issn.1671-6833.2012.06.017]
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改进型无网格迦辽金法在稳定热传导中的应用()
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《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:
33卷
期数:
2012年06期
页码:
71-74
栏目:
出版日期:
2012-11-10

文章信息/Info

Title:
Application of Improved Element-free Galerkin Method in Stable Heat Conduction
作者:
夏茂辉; 赵玉凤; 吕鹏; 等.
燕山大学理学院,河北秦皇岛,066004, 燕山大学理学院,河北秦皇岛,066004, 燕山大学理学院,河北秦皇岛,066004, 燕山大学理学院,河北秦皇岛,066004, 燕山大学理学院,河北秦皇岛,066004
Author(s):
XlA Maohui; ZHA0 Yufeng; LV Peng; etc;
Department of Science , Yanshan University, Qinhuangdao 066004,China
关键词:
移动最小二乘近似;  无网格迦辽金法;  温度场
Keywords:
moving least-squares approximation(MLS); element-free Galerkin( EFG ) method; temperature field
分类号:
0315TK124
DOI:
10.3969/j.issn.1671-6833.2012.06.017
摘要:
对移动最小二乘近似(MLS)中的基函数进行改进,此近似方案中的基函数采用带权的正交基函数,从而形成一种改进的移动最小二乘近似(IMLS),该近似比现有的移动最小二乘近似有更高的精度和效率,且不会导致系统方程产生病态.IMLS近似与迦辽金法(EFGM)相结合构成了一种改进型无网格迦辽金法(IEFGM),用IEFGM对矩形域和圆城内的稳定热传导问题进行了分析.通过计算实例并编制MATLAB程序表明,该方法是一种收敛快、精度高、简便有效的方法.
Abstract:
This paper presents an improved moving least-square ( IMIS) approximation in which the orthogonal function system with a weight function being used as the basis function. The lMLS approximation has agreater computational efficiency and precision than the existing moving least-squares ( MLS) approximation,and does not lead to an ill-conditioned system of equations. By combining the element-free Galerkin ( EFG )method and the IMLS approximation, an improved element-free Galerkin ( IEFG) method for heat conductionis derived. There are two numerical examples that in rectangular and circular domain solved using the lEFGmethod and that demonstrates the method has a greater computational efficiency and precision, and it is simpleand effective
更新日期/Last Update: 1900-01-01