A meshless algorithm with moving least square approximations for elliptic Signorini problems

doi:10.1088/1674-1056/23/9/090202

Abstract Based on the moving least square (MLS) approximations and the boundary integral equations (BIEs), a meshless algorithm is presented in this paper for elliptic Signorini problems. In the algorithm, a projection operator is used to tackle the nonlinear boundary inequality conditions. The Signorini problem is then reformulated as BIEs and the unknown boundary variables are approximated by the MLS approximations. Accordingly, only a nodal data structure on the boundary of a domain is required. The convergence of the algorithm is proven. Numerical examples are given to show the high convergence rate and high computational efficiency of the presented algorithm.

Keywords: meshless method Signorini problem moving least square approximations convergence

Received: 02 December 2013
Revised: 13 March 2014
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. 11101454), the Natural Science Foundation of Chongqing CSTC, China (Grant No. cstc2014jcyjA00005), and the Program of Innovation Team Project in University of Chongqing City, China (Grant No. KJTD201308).

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

Cite this article:

Wang Yan-Chong (王延冲), Li Xiao-Lin (李小林) A meshless algorithm with moving least square approximations for elliptic Signorini problems 2014 Chin. Phys. B 23 090202

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A meshless algorithm with moving least square approximations for elliptic Signorini problems

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