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  

NEW GEOMETRIC INTERPOLATION METHOD BASED ON VORONOI DIAGRAM AND THE COMPARISON WITH TRADITIONALALGEBRAIC METHOD

作　　者：周小平[1] 周瑞忠[1] 

机构地区：[1]福州大学土木建筑工程学院,福建福州350002

出　　处：《岩石力学与工程学报》2005年第1期133-138,共6页Chinese Journal of Rock Mechanics and Engineering

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。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.

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 

分 类 号：O158[理学—数学]