An interpolating reproducing kernel particle method for two-dimensional scatter points

doi:10.1088/1674-1056/23/7/070207

Abstract An interpolating reproducing kernel particle method for two-dimensional (2D) scatter points is introduced. It eliminates the dependency of gridding in numerical calculations. The interpolating shape function in the interpolating reproducing kernel particle method satisfies the property of the Kronecker delta function. This method offers a mathematics basis for recognition technology and simulation analysis, which can be expressed as simultaneous differential equations in science or project problems. Mathematical examples are given to show the validity of the interpolating reproducing kernel particle method.

Keywords: interpolating reproducing kernel particle method point interpolating characteristic scatter points

Received: 26 November 2013
Revised: 22 January 2014
Accepted manuscript online:

PACS:	02.60.-x	(Numerical approximation and analysis)
	02.60.Cb	(Numerical simulation; solution of equations)
	46.25.-y	(Static elasticity)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11171208) and the Natural Science Foundation of Shanxi Province, China (Grant No. 2013011022-6).

Corresponding Authors: Qin Yi-Xiao
E-mail: qyx819@163.com,457612677@qq.com

About author: 02.60.-x; 02.60.Cb; 46.25.-y

Cite this article:

Qin Yi-Xiao (秦义校), Liu Ying-Ying (刘营营), Li Zhong-Hua (李中华), Yang Ming (杨明) An interpolating reproducing kernel particle method for two-dimensional scatter points 2014 Chin. Phys. B 23 070207

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