A meshless Galerkin method with moving least square approximations for infinite elastic solids

作     者：李小林 李淑玲 

作者机构：College of Mathematics Science Chongqing Normal University 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2013年第22卷第8期

页      面：245-252页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0805[工学-材料科学与工程（可授工学、理学学位）] 070102[理学-计算数学] 0704[理学-天文学] 0701[理学-数学] 

基　　金：supported by the National Natural Science Foundation of China(Grant No.11101454) the Natural Science Foundation of Chongqing CSTC(GrantNo.cstc2011jjA30003) 

主　　题：meshless method Galerkin boundary node method error estimates elasticity 

摘      要：Combining moving least square approximations and boundary integral equations, a meshless Galerkin method, which is the Galerkin boundary node method （GBNM）, for twoand three-dimensional infinite elastic solid mechanics problems with traction boundary conditions is discussed. In this numerical method, the resulting formulation inherits the symmetry and positive definiteness of variational problems, and boundary conditions can be applied directly and easily. A rigorous error analysis and convergence study for both displacement and stress is presented in Sobolev spaces. The capability of this method is illustrated and assessed by some numerical examples.