%0 Journal Article
%T NATURAL ELEMENT METHOD BASED ON LOCAL PETROV-GALERKIN PROCEDURE AND ITS OBJECT-ORIENTED DESIGN AND IMPLEMENTATION<br>基于局部Petrov-Galerkin过程的自然单元法及其面向对象的设计与实现
%A Cai Yongchang
%A Li Xiaojun
%A Zhu Hehua
%A <br>蔡永昌
%A 李晓军
%A 朱合华
%J 岩石力学与工程学报
%D 2003
%I 
%X The local natural element method(LNEM) which can be used in the automatic analysis of geotechnical engineering problems is implemented for solving the elasticity problem. In LNEM,the whole interpolations are constructed with respect to the natural neighbour nodes and Voronoi tessellation of the given point,and a local weak form over the local Delaunay triangular sub-domain is used to obtain the discretized system of equilibrium equation. As a result,the numerical integration of the equilibrium equation can be analytically calculated at the center of the background triangular quadrature meshes. The design and management of the object about LNEM are also studied by abstracting the data and procedure of LNEM as auto-model building class,analysis class,control class,and other relevant classes and methods. Numerical results indicate that the theory and programs are accurate and effective.
%K numerical method
%K meshlessness
%K natural element
%K object-oriented
%K local Petrov-Galerkin method
%K Delaunay triangularization<br>岩土工程
%K 自然单元法
%K 系统平衡方程
%K 衬砌
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=D3421FAA1A0A0F0C&jid=35E747D791A1346351AFB523B7FA35CB&aid=1D91C302BA1DBD5E&yid=D43C4A19B2EE3C0A&vid=BC12EA701C895178&iid=5D311CA918CA9A03&sid=08DDB398556FE547&eid=0DC551EE075D9D73&journal_id=1000-6915&journal_name=岩石力学与工程学报&referenced_num=5&reference_num=13