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The choosing of reproducing kernel particle shape function with mathematic proof
作者姓名:夏茂辉  李 金
作者单位:College of Science, Yanshan University, Qinhuangdao { 066004, China;College of Science, Yanshan University, Qinhuangdao { 066004, China
基金项目:Project supported by the Doctoral Scientists of Yanshan University (Grant No B272).
摘    要:Many mechanical problems can be induced from differential equations with boundary conditions; there exist analytic and numerical methods for solving the differential equations. Usually it is not so easy to obtain analytic solutions. So it is necessary to give numerical solutions. The reproducing kernel particle (RKP) method is based on the Carlerkin Meshless method. According to the Sobolev space and Fourier transform, the RKP shape function is mathematically proved in this paper.

关 键 词:原子核  粒子  形状函数  数学物理学
收稿时间:2006-10-08
修稿时间:6/6/2007 12:00:00 AM

The choosing of reproducing kernel particle shape function with mathematic proof
Xia Mao-Hui and Li Jin.The choosing of reproducing kernel particle shape function with mathematic proof[J].Chinese Physics B,2007,16(10):3067-3071.
Authors:Xia Mao-Hui and Li Jin
Institution:College of Science, Yanshan University, Qinhuangdao 066004, China
Abstract:Many mechanical problems can be induced from differential equations with boundary conditions; there exist analytic and numerical methods for solving the differential equations. Usually it is not so easy to obtain analytic solutions. So it is necessary to give numerical solutions. The reproducing kernel particle (RKP) method is based on the Garlerkin Meshless method. According to the Sobolev space and Fourier transform, the RKP shape function is mathematically proved in this paper.
Keywords:point of interpolation  particle  reproducing kernel particle  shape function
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