对无单元法插值函数的几点研究  

A Study of Interpolating Function Applied in Element-Free Galerkin Method

作　　者：周小平[1] 周瑞忠[1] 

机构地区：[1]福州大学土木建筑工程学院,福建福州350002

出　　处：《福州大学学报（自然科学版）》2000年第2期52-56,共5页Journal of Fuzhou University(Natural Science Edition)

摘　　要：利用无单元法推导并讨论了基于滑动最小二乘原理的插值函数的公式 ,对一些问题的解决提出了见解 ,最后用算例说明了这些见解的正确性 .Element-free galerkin method (EFG) is a new numerical method to solve boundary value problem(BVP). Compared with FEM, it possesses several notable advantages, such as requiring simple data, higher accuracy and higher order continuity. These advantages rely on an interpolating function based on moving least square (MLS) being adopted in EFG. In this paper, the interpolating formula is derived, some relative problems are discussed and some views about how to solve problems are put forward. Finally, an example is taken to justify our views.

关 键 词：无单元法 边值问题 插值函数 滑动最小二乘法 

分 类 号：O241.2[理学—计算数学] O241.5[理学—数学]