无网格法中节点分布方式对计算精度的影响  

Effect of Node Arrangement on Computational Precision in Messless Methods

作　　者：贾延[1] 

机构地区：[1]北方民族大学数学与信息科学学院,宁夏银川750021

出　　处：《湖北理工学院学报》2013年第6期50-52,55,共4页Journal of Hubei Polytechnic University

基　　金：宁夏自然科学基金资助项目(项目编号:NZ11138);北方民族大学自主科研基金项目(项目编号:2011ZQY027)

摘　　要：影响径向基点插值无网格方法求解精度的因素有很多。为了研究离散节点分布方式对计算精度的影响,通过分析经典的Timoshenko悬臂梁问题,研究了不同节点分布方案对挠度和应力计算精度的影响,得出了一些有益的结论,对于更深一步地研究与应用无网格法具有积极的意义。Computational precision of RPIM is affected by many factors. In order to study nodes arrangment effects on the computational precision of meshless method, Timoshenko cantilever beam problem is analyzed, the influence of the different nodes distribution on the accuracy of deflection and stress is researched, and some useful conclusions are drawn. The results show that it is of great significance for the further research and application of the meshless method.

关 键 词：无网格方法 点插值法 径向基函数 计算精度 

分 类 号：O242[理学—计算数学]