关于配点型无网格法边界条件处理技术  

Techniques for boundary conditions in point allocation meshless methods

作　　者：张宏伟[1] 李美香[1] 李卫国[1] 

机构地区：[1]大连理工大学数学科学学院,辽宁大连116024

出　　处：《大连理工大学学报》2010年第4期614-618,共5页Journal of Dalian University of Technology

基　　金：大连理工大学数学+x资助项目(842326)

摘　　要：由于无网格数值方法具有传统的有限差分法和有限元法不可比拟的优点,着重介绍了配点型无网格法格式及其特点.在总结配点型无网格法处理导数边界条件的各种技术的基础上,提出了基于积分插值的新处理技术.通过对基于点插值的配点型无网格法解Helmholtz问题的研究,验证了该技术的优越性.Because of amazing advantages of meshless numerical methods over classical finite difference methods and finite element methods,the point allocation method and its characteristics are introduced. Several techniques for derivative boundary conditions by meshless allocation method are summarized and a new technique based on integral interpolation is proposed. Using meshless allocation method based on point interpolation to solve Helmholtz problem,the superiority of the proposed technique is verified.

关 键 词：无网格法 配点法 Neumann条件 积分插值 

分 类 号：TU311.4[建筑科学—结构工程]