Error estimate of element-free Galerkin method for elasticity

被引：25

作者：

Cheng Rong-Jun ^{[1
,2
]}

Cheng Yu-Min ^{[1
]}

机构：

[1] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China

[2] Zhejiang Univ, Ningbo Inst Technol, Dept Fundamental Course, Ningbo 315100, Zhejiang, Peoples R China

来源：

ACTA PHYSICA SINICA | 2011年 / 60卷 / 07期

基金：

中国国家自然科学基金;

关键词：

meshless method; element-free Galerkin method; elasticity; error estimate; KERNEL PARTICLE METHOD; INTEGRAL-EQUATION; COMPLEX-VARIABLES; MESHLESS METHOD; APPROXIMATION; CONVERGENCE;

D O I：

10.7498/aps.60.070206

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Based on both the error estimates of moving least-square approximation in the Sobolev space W-k,W-p(Omega) and the continuity and coercion of the bi-linearity in the weak form of the elasticity, the error analysis of element-free Galerkin method for elasticity is discussed in this paper, the relationship between the error and the radius of the weight function is given, and the theorem of the error estimate presented. The error estimate proves to be of optimal order when nodes and shape functions satisfy some conditions. From the error analysis, it is shown that the error bound of the elasticity is directly related to the radius of the weight function. And a numerical example is given to verify the correctness of the given results.

引用

页数：6

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