<FONT face=Verdana>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<BR></FONT>

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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.

Key words： rock and soil mechanics natural element method natural neighbour interpolation Sibson interpolation non-Sibsonian interpolation Voronoi diagram

Received: 05 June 2003

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https://rockmech.whrsm.ac.cn/EN/ OR https://rockmech.whrsm.ac.cn/EN/Y2005/V24/I01/133

[1]	WANG Zhaoyu1, 2, ZHAO Weihua1, 2, JU Nengpan1, 2, LIN Qinghua1, 2, TAN Lin1, 2, HU Xiaolong1, 2. Constitutive model for shear creep behavior of fault gouge containing crushed rock#br#*[J]. , 2026, 45(4): 1266-1276.