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.
The meshless or meshfree method has progressed rapidely in recent years. It becomes one of the most important topics in computational mechanics. With its many special advantages, it is considered as a new generation of numerical methods after finite element method. Up to now, at least several dozens of special methods with different advantages have been proposed. The purpose of this paper is to discuss several important meshless methods, especially in solid mechanics. The classifications, the constructions of shape functions, the perspective, the advantages and the disadvantages of different methods are discussed, together with some common features. Finally the perspectives and the challenges in developing the meshlesh methods are given.
出处
《力学进展》
EI
CSCD
北大核心
2005年第3期323-337,共15页
Advances in Mechanics
基金
国家973项目(2002CB412706)中国科学院知识创新重点方向性项目(KJCX2-SW-L1)
