| 无网格方法中含参数指数权函数的研究 |
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| 引用本文： | 袁占斌,聂玉峰,赵美玲.无网格方法中含参数指数权函数的研究[J].航空计算技术,2008,38(3):19-21,27. |
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| 作者姓名： | 袁占斌 聂玉峰 赵美玲 |
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| 作者单位： | 1. 西北工业大学,理学院应用数学系,陕西,西安,710072
2. 华北电力大学,数理学院,河北,保定,071003 |
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| 摘 要： | 选择合适的权函数及相应的影响半径是无网格方法中很重要的问题,在引入数值紧支域概念的基础上分析了含参数的指数权函数中参数的选取范围,综合考虑计算效率和精度后给出了参数的选取原则,并讨论了在特定的参数下的最优半径以及不同参数对最优半径的影响.
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| 关 键 词： | 无网格方法 最小二乘法 指数权函数 影响半径 |
Research of an Exponential Function Used in Meshfree Method |
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| YUAN Zhan-bin,NIE Yu-feng,ZHAO Mei-ling.Research of an Exponential Function Used in Meshfree Method[J].Aeronautical Computer Technique,2008,38(3):19-21,27. |
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| Authors: | YUAN Zhan-bin NIE Yu-feng ZHAO Mei-ling |
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| Abstract: | In meshfree methods it is an important problem how to select suitable weight function and corresponding optimal radius.Based on the notation,numerical support domain of a function posed in this paper,the proper range of the parameter appeared in a kind of weight function of exponential type is given.Furthermore,a guide on the selection about the parameter is suggested to meet the requirement of both accuracy and efficiency.For a given parameter the optimal radius of the support is obtained by a series of nu... |
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| Keywords: | meshless methods least squares method weight function of exponential type radius of influence |
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