| 移动最小二乘形函数插值精度 |
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| 引用本文： | 杨建军,郑健龙.移动最小二乘形函数插值精度[J].长沙理工大学学报(自然科学版),2009,6(2):67-72. |
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| 作者姓名： | 杨建军 郑健龙 |
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| 作者单位： | 长沙理工大学,道路结构与材料交通部重点实验室,湖南,长沙,410004 |
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| 基金项目： | 国家自然科学基金，新疆交通厅科研资助项目 |
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| 摘 要： | 移动最小二乘近似作为无网格法中广泛采用的形函数构造方法,其插值精度直接决定数值分析的质量.移动最小二乘形函数的性质通过编写的程序进行计算验证和讨论,重点分析了形函数插值精度对各影响因素的敏感性,并对已知函数的表面拟合进行检验,给出了合理的参数取值与选择范围.研究结果表明,权函数形状、支持域尺度、基函数形式和插值点密度等,对移动最小二乘形函数的插值稳定性和插值精度均有重要影响.
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| 关 键 词： | 移动最小二乘 形函数 插值精度 无网格法 |
Interpolation accuracy of moving least square shape function |
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| YANG Jian-jun,ZHENG Jian-long.Interpolation accuracy of moving least square shape function[J].Journal of Changsha University of Science and Technology:Natural Science,2009,6(2):67-72. |
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| Authors: | YANG Jian-jun ZHENG Jian-long |
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| Institution: | Key Laboratory of Road Structure and Material of Ministry of Communications;ChangshaUniversity of Science and Technology;Changsha 410004;China |
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| Abstract: | The moving least square approximation is widely used as the shape function of meshless methods,its interpolation accuracy influencs the results of numerical analysis.The shape function is programmed on the basis of MATLAB,the characteristic of the shape function is discussed with the help of numerical calculation results.The interpolation accuracy of the moving least square shape function is tested by the surfaces generating of given functions,and its sensibility to the potential influence factors is also a... |
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| Keywords: | moving least square shape function interpolation accuracy meshless methods |
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