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

doi:10.1088/1674-1056/21/2/020204

Abstract 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 EFG 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.

Keywords: meshless method improved complex variable moving least-squares approximation improved complex variable element-free Galerkin method elasticity

Received: 02 August 2011
Revised: 19 August 2011
Accepted manuscript online:

PACS:	02.60.Cb	(Numerical simulation; solution of equations)
	02.60.Lj	(Ordinary and partial differential equations; boundary value problems)
	46.25.-y	(Static elasticity)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11026223), the Shanghai Leading Academic Discipline Project, China (Grant No. S30106), and the Innovation Fund Project for Graduate Student of Shanghai University, China (Grant No. SHUCX112359).

Corresponding Authors: Cheng Yu-Min,ymcheng@shu.edu.cn
E-mail: ymcheng@shu.edu.cn

Cite this article:

Bai Fu-Nong(白福浓), Li Dong-Ming(李东明) Wang Jian-Fei(王健菲), and Cheng Yu-Min(程玉民) An improved complex variable element-free Galerkin method for two-dimensional elasticity problems 2012 Chin. Phys. B 21 020204

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

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