| 径向点插值无网格法在热传导问题中的应用 |
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| 引用本文： | 陈瑜,夏茂辉,王德华,石蕾,王壮壮.径向点插值无网格法在热传导问题中的应用[J].黑龙江大学自然科学学报,2009,26(4). |
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| 作者姓名： | 陈瑜 夏茂辉 王德华 石蕾 王壮壮 |
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| 作者单位： | 燕山大学,理学院,秦皇岛,066004 |
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| 基金项目： | 燕山大学博士基金资助项目 |
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| 摘 要： | 径向点插值是一种新型的无网格法.由于插值函数采用径向基和多项式基的线性组合,从而有效地解决了点插值中系数矩阵奇异性问题,而且由于插值具有δ函数性质,从而很容易处理本质边界条件.通过分析径向点插值法计算原理,给出其在热传导问题中的应用,最后用算例初步验证了该方法的有效性与合理性.
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| 关 键 词： | 无网格法 点插值法 径向基函数 |
Application of radial point interpolation method to heat conduction |
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| CHEN Yu,XIA Mao-hui,WANG De-hua,SHI Lei,WANG Zhuang-zhuang.Application of radial point interpolation method to heat conduction[J].Journal of Natural Science of Heilongjiang University,2009,26(4). |
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| Authors: | CHEN Yu XIA Mao-hui WANG De-hua SHI Lei WANG Zhuang-zhuang |
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| Institution: | College of Sciences;Yanshan University;Qinhuangdao 066004;China |
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| Abstract: | A point interpolation which base on the radial function is a new meshless method.Because the interpolation functions with the combination of radial and polynomial basis overcomes possible singularity associated with the PIM based on only the polynomial basis.It is also easy to deal with esstional boundary for its property of Kronecher Delta function.The basic principle of RPIM is introducted.In addition,numerical example of heat conduction shows that the new methods is efficiency and convenient. |
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| Keywords: | meshless methods point interpolation methods radical basis functions |
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