A STUDY ON THE WEIGHT FUNCTION OF THE MOVING LEAST SQUARE APPROXIMATION IN THE LOCAL BOUNDARY INTEGRAL EQUATION METHOD

作     者：Long Shuyao Hu De’an (Department of Engineering Mechanics,Hunan University,Changsha 410082,China) 

作者机构：DepartmentofEngineeringMechanicsHunanUniversityChangsha410082China 

出 版 物：《Acta Mechanica Solida Sinica》 (固体力学学报（英文版）)

年 卷 期：2003年第16卷第3期

页      面：276-282页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：weight function meshless methods local boundary integral equation method moving least square approximation 

摘      要：The meshless method is a new numerical technique presented in recent *** uses the moving least square(MLS)approximation as a shape *** smoothness of the MLS approximation is determined by that of the basic function and of the weight function,and is mainly determined by that of the weight ***,the weight function greatly affects the accuracy of results *** kinds of weight functions,such as the spline function, the Gauss function and so on,are proposed recently by many *** the present work,the features of various weight functions are illustrated through solving elasto-static problems using the local boundary integral equation *** effect of various weight functions on the accuracy, convergence and stability of results obtained is also *** show that the weight function proposed by Zhou Weiyuan and Gauss and the quartic spline weight function are better than the others if parameters c and α in Gauss and exponential weight functions are in the range of reasonable values,respectively,and the higher the smoothness of the weight function,the better the features of the solutions.