%0 Journal Article
%T NEW GEOMETRIC INTERPOLATION METHOD BASED ON VORONOI DIAGRAM AND THE COMPARISON WITH TRADITIONAL ALGEBRAIC METHOD
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
%A ZHOU Xiao-ping
%A ZHOU Rui-zhong
%A
周小平
%A 周瑞忠
%J 岩石力学与工程学报
%D 2005
%I
%X 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.
%K rock and soil mechanics
%K natural element method
%K natural neighbour interpolation
%K Sibson interpolation
%K non-Sibsonian interpolation
%K Voronoi diagram
岩土力学
%K 自然单元法
%K 自然邻居插值
%K Sibson插值
%K non-Sibsonian插值
%K Voronoi图
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=D3421FAA1A0A0F0C&jid=35E747D791A1346351AFB523B7FA35CB&aid=3236444465C8802C&yid=2DD7160C83D0ACED&vid=B91E8C6D6FE990DB&iid=CA4FD0336C81A37A&sid=76B5E24D6EC46B4B&eid=09E495F616948E78&journal_id=1000-6915&journal_name=岩石力学与工程学报&referenced_num=6&reference_num=11