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

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

›› 2014, Vol. 23 ›› Issue (9): 90202-090202.doi: 10.1088/1674-1056/23/9/090202

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

王延冲, 李小林

College of Mathematics Science, Chongqing Normal University, Chongqing 400047, China

收稿日期:2013-12-02 修回日期:2014-03-13 出版日期:2014-09-15 发布日期:2014-09-15
基金资助:
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).

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

Wang Yan-Chong (王延冲), Li Xiao-Lin (李小林)

College of Mathematics Science, Chongqing Normal University, Chongqing 400047, China

Received:2013-12-02 Revised:2014-03-13 Online:2014-09-15 Published:2014-09-15
Contact: Li Xiao-Lin E-mail:lxlmath@163.com
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: meshless method, Signorini problem, moving least square approximations, convergence

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.

Key words: meshless method, Signorini problem, moving least square approximations, convergence

中图分类号: (Numerical simulation; solution of equations)

02.60.Cb

02.60.Lj (Ordinary and partial differential equations; boundary value problems) 02.30.Em (Potential theory)

王延冲, 李小林. A meshless algorithm with moving least square approximations for elliptic Signorini problems[J]. , 2014, 23(9): 90202-090202.

Wang Yan-Chong (王延冲), Li Xiao-Lin (李小林). A meshless algorithm with moving least square approximations for elliptic Signorini problems[J]. Chin. Phys. B, 2014, 23(9): 90202-090202.

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

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

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