| 基于Voronoi图的新型几何插值及其与传统代数插值方法的比较 |
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| 引用本文： | 周小平,周瑞忠.基于Voronoi图的新型几何插值及其与传统代数插值方法的比较[J].岩石力学与工程学报,2005,24(1):133-138. |
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| 作者姓名： | 周小平 周瑞忠 |
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| 作者单位： | 福州大学,土木建筑工程学院,福建,福州,350002 |
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| 摘 要： | 基于Voronoi图的自然邻居插值是自然单元法的数学基础，也是一种新型的几何插值方法，具有与其他常用传统插值不同的构造方法，并表现出一定的优越性。介绍基于自然邻居插值关系的Sibson插值和non-Sibsonian插值，并与有限元法和无单元法所用的插值方法在插值方案、网格特性、计算工作量等方面进行了比较分析。
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| 关 键 词： | 岩土力学 自然单元法 自然邻居插值 Sibson插值 non-Sibsonian插值 Voronoi图 |
| 文章编号： | 1000-6915(2005)01-0133-06 |
| 收稿时间： | 2003-6-5 |
| 修稿时间： | 2003-8-10 |
NEW GEOMETRIC INTERPOLATION METHOD BASED ON VORONOI DIAGRAM AND THE COMPARISON WITH TRADITIONAL ALGEBRAIC METHOD |
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| ZHOU Xiao-ping,ZHOU Rui-zhong.NEW GEOMETRIC INTERPOLATION METHOD BASED ON VORONOI DIAGRAM AND THE COMPARISON WITH TRADITIONAL ALGEBRAIC METHOD[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(1):133-138. |
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| Authors: | ZHOU Xiao-ping ZHOU Rui-zhong |
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| Abstract: | The natural neighbour interpolation based on Voronoi diagram is the mathematical base of natural element method (NEM). It is a new geometric interpolation method and to be constructed by a special procedure different from traditional method,meanwhile it does have some advantages. The Sibson interpolation and non-Sibnian interpolation based on natural neighbour relation are introduced,then the comparison with FEM and EFG interpolation about discrete scheme,mesh property,calculation cost and so on is conducted. |
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| Keywords: | rock and soil mechanics natural element method natural neighbour interpolation Sibson interpolation non-Sibsonian interpolation Voronoi diagram |
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