A NODE-BASED ERROR ESTIMATOR FOR THE ELEMENT-FREE GALERKIN (EFG) METHOD

被引：2

作者：

He, Yiqian ^{[1
]}

Yang, Haitian ^{[1
]}

Deeks, Andrew J. ^{[2
]}

机构：

[1] Dalian Univ Technol, Dept Engn Mech, State Key Lab Struct Anal Ind Equipment, Dalian 116024, Peoples R China

[2] Univ Durham, Sch Engn & Comp Sci, Durham DH1 3LE, England

来源：

INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS | 2014年 / 11卷 / 04期

基金：

中国博士后科学基金;

关键词：

Element-free Galerkin method; adaptive analysis; error estimator; spurious oscillation; REPRODUCING KERNEL; ADAPTIVE REFINEMENT; PART II; RECOVERY; RPCM; 2D;

D O I：

10.1142/S021987621350059X

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Meshless methods are suitable for adaptive analysis, as the nodes are unstructured, and can be added or deleted freely. However, the smooth shape functions may produce spurious oscillation away from the region containing error, which may result in addition of unnecessary nodes. In order to avoid the influence of spurious oscillation on adaptive analysis, a node-based error estimator is presented. The recovered nodal stress value is obtained from a reference solution using a double refinement technique. Numerical tests are presented illustrating the effectiveness of the proposed approach in the terms of the number and distribution of nodes compared with traditional approaches.

引用

页数：24

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