无网格伽辽金法节点分布求解精度的研究-《计算机技术与发展》

文章信息/Info

Title:: Research on Nodes Factors Affecting Computational Precision of Element-free Galerkin Method

Keywords:: element-free; Galerkin method; distribution of nodes; computational precision

摘要:: 基于移动最小二乘法的无网格伽辽金法( EFG)计算精度的影响因素有很多。为了分析无网格伽辽金法对节点布置的影响，文中通过分析经典的悬臂梁问题，定义了一个能量范数作为误差指标，用Matlab程序开发了无网格法计算程序。研究了离散节点的布置方法及节点个数对无网格法伽辽金法求解精度的影响。考察了均匀布点法及随机布点法情况下的无网格法的计算精度，提出了两种布点方法结合起来应用的混合布点方法，得出了一些有益的结论

Abstract:: Computational precision of MLS-based EFG is affected by many factors. In order to analyze the influence of element-free Galerkin method for nodes distribution,by analyzing the classical cantilever beam problem,define an energy norm as error index,simulta-neously,develop element-free computational program based on Matlab. Furthermore,study the layout method and the impact on computa-tional precision of element-free Galerkin method by node number. Also,investigate the computational precision and efficiency of EFG under uniform distribution method and the method of random distribution. Propose a mixed combination of the two distribution methods. The above analysis gives some useful conclusions