物理学报2011，Vol.60Issue(7)：40-45,6.
弹性力学的无单元Galerkin方法的误差估计
Error estimate of element-free Galerkin method for elasticity
摘要
Abstract
Based on both the error estimates of moving least-square approximation in the Sobolev space W^k.P（,O） 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.关键词
无网格方法/无单元Galerkin方法/弹性力学/误差估计Key words
meshless method/element-free Galerkin method/elasticity/error estimate分类
数理科学引用本文复制引用
程荣军,程玉民..弹性力学的无单元Galerkin方法的误差估计[J].物理学报,2011,60(7):40-45,6.基金项目
国家自然科学基金（批准号：10871124,11026223）和上海市重点科学建设项目（批准号：$30106）资助的课题. （）
