无网格法及其最新进展

被引：162

作者：

顾元通

丁桦

机构：

[1] 新加坡国立大学机械系KentRidgeCrescentSingapore,中国科学院力学研究所工程科学研究部北京

来源：

力学进展 | 2005年 / 03期

关键词：

无网格法; 形状函数; 弱形式; 固体力学;

D O I：

暂无

中图分类号：

O302 [力学中的数学方法];

学科分类号：

070101 [基础数学];

摘要：

无网格法具有许多独特的优点,因此有人认为无网格法将成为继有限元法之后新一代的数值方法.到目前为止,已提出了不下十几种无网格法,这些无网格法各有不同的优缺点.本文评述几种主要无网格法(着重应用于固体力学中的基于弱式的无网格法),将它们适当地分类,论述典型的无网格形状函数的构造方法,介绍无网格法的发展现状,评价已提出无网格法的优缺点,并比较典型无网格法的相同和不同点,以及讨论无网格法发展所面临的问题等.最后就无网格法的发展趋势进行了展望.

引用

页码：323 / 337

页数：15

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