An improved complex variable element-free Galerkin method for two-dimensional elasticity problems

In this paper, the improved complex variable moving least-squares （ICVMLS） approximation is presented. The ICVMLS approximation has an explicit physics meaning. Compared with the complex variable moving least-squares （CVMLS） approximations presented by Cheng and Ren, the ICVMLS approximation has a g...

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Bibliographic Details
Published in:Chinese physics B 2012-02, Vol.21 (2), p.56-65
Main Author: 白福浓 李东明 王健菲 程玉民
Format: Article
Language:English
Subjects:
Approximation
Complex variables
Computational efficiency
Computing time
Galerkin methods
Least squares method
Mathematical analysis
Mathematical models
Two dimensional
二维弹性
力学问题
复变量
无网格伽辽金方法
无网格伽辽金法
物理意义
移动最小二乘近似
计算精度
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Summary:In this paper, the improved complex variable moving least-squares （ICVMLS） approximation is presented. The ICVMLS approximation has an explicit physics meaning. Compared with the complex variable moving least-squares （CVMLS） approximations presented by Cheng and Ren, the ICVMLS approximation has a great computational precision and efficiency. Based on the element-free Galerkin （EFG） method and the ICVMLS approximation, the improved complex variable element-free Galerkin （ICVEFG） method is presented for two-dimensional elasticity problems, and the corresponding formulae are obtained. Compared with the conventional EFC method, the ICVEFG method has a great computational accuracy and efficiency. For the purpose of demonstration, three selected numerical examples are solved using the ICVEFG method.
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/21/2/020204