Open AccessError estimate of element-free Galerkin method for elasticity
Author(s) -
Rongjun Cheng,
Cheng Yu-Min
Publication year - 2011
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.60.070206
Subject(s) - elasticity (physics) , galerkin method , sobolev space , weight function , mathematics , approximation error , error analysis , correctness , mathematical analysis , linear elasticity , finite element method , algorithm , physics , thermodynamics
Based on both the error estimates of moving least-square approximation in the Sobolev space Wk,p(Ω) 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.