CAJ | 학술논문

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。
기우이동최소이승법적무망격가료금법( EFG)계산정도적영향인소유흔다。위료분석무망격가료금법대절점포치적영향，문중통과분석경전적현비량문제，정의료일개능량범수작위오차지표，용Matlab정서개발료무망격법계산정서。연구료리산절점적포치방법급절점개수대무망격법가료금법구해정도적영향。고찰료균균포점법급수궤포점법정황하적무망격법적계산정도，제출료량충포점방법결합기래응용적혼합포점방법，득출료일사유익적결론。
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.