An improved interpolating element-free Galerkin method for elasticity

doi:10.1088/1674-1056/22/12/120203

Abstract Based on the improved interpolating moving least-squares (ⅡMLS) method and the Galerkin weak form, an improved interpolating element-free Galerkin (ⅡEFG) method is presented for two-dimensional elasticity problems in this paper. Compared with the interpolating moving least-squares (IMLS) method presented by Lancaster, the ⅡMLS method uses the nonsingular weight function. The number of unknown coefficients in the trial function of the ⅡMLS method is less than that of the MLS approximation and the shape function of the ⅡMLS method satisfies the property of Kronecker δ function. Thus in the ⅡEFG method, the essential boundary conditions can be applied directly and easily, then the numerical solutions can be obtained with higher precision than those obtained by the interpolating element-free Galerkin (IEFG) method. For the purposes of demonstration, four numerical examples are solved using the ⅡEFG method.

Keywords: meshless method improved interpolating moving least-squares (ⅡMLS) method improved interpolating element-free Galerkin (ⅡEFG) method elasticity

Received: 30 March 2013
Revised: 02 May 2013
Accepted manuscript online:

PACS:	02.60.Cb	(Numerical simulation; solution of equations)
	02.60.Lj	(Ordinary and partial differential equations; boundary value problems)
	02.30.Em	(Potential theory)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11171208) and the Shanghai Leading Academic Discipline Project, China (Grant No. S30106).

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

Cite this article:

Sun Feng-Xin (孙凤欣), Wang Ju-Feng (王聚丰), Cheng Yu-Min (程玉民) An improved interpolating element-free Galerkin method for elasticity 2013 Chin. Phys. B 22 120203

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