Meshless analysis of an improved element-free Galerkin method for linear and nonlinear elliptic problems

doi:10.1088/1674-1056/26/3/030203

Abstract We first give a stabilized improved moving least squares (IMLS) approximation, which has better computational stability and precision than the IMLS approximation. Then, analysis of the improved element-free Galerkin method is provided theoretically for both linear and nonlinear elliptic boundary value problems. Finally, numerical examples are given to verify the theoretical analysis.

Keywords: meshless method moving least squares approximation element-free Galerkin method error estimate

Received: 25 October 2016
Revised: 30 November 2016
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. 11471063), the Chongqing Research Program of Basic Research and Frontier Technology, China (Grant No. cstc2015jcyjBX0083), and the Educational Commission Foundation of Chongqing City, China (Grant No. KJ1600330).

Corresponding Authors: Xiao-Lin Li
E-mail: lxlmath@163.com

Cite this article:

Yao-Zong Tang(唐耀宗), Xiao-Lin Li(李小林) Meshless analysis of an improved element-free Galerkin method for linear and nonlinear elliptic problems 2017 Chin. Phys. B 26 030203

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