中国物理B ›› 2007, Vol. 16 ›› Issue (10): 3067-3071.doi: 10.1088/1009-1963/16/10/041

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The choosing of reproducing kernel particle shape function with mathematic proof

夏茂辉, 李 金   

  1. College of Science, Yanshan University, Qinhuangdao { 066004, China
  • 收稿日期:2006-10-08 修回日期:2007-06-06 出版日期:2007-10-08 发布日期:2007-10-08
  • 基金资助:
    Project supported by the Doctoral Scientists of Yanshan University (Grant No B272).

The choosing of reproducing kernel particle shape function with mathematic proof

Xia Mao-Hui(夏茂辉)† and Li Jin(李金)   

  1. College of Science, Yanshan University, Qinhuangdao 066004, China
  • Received:2006-10-08 Revised:2007-06-06 Online:2007-10-08 Published:2007-10-08
  • Supported by:
    Project supported by the Doctoral Scientists of Yanshan University (Grant No B272).

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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 Garlerkin Meshless method. According to the Sobolev space and Fourier transform, the RKP shape function is mathematically proved in this paper.

关键词: point of interpolation, particle, reproducing kernel particle, shape function

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.

Key words: point of interpolation, particle, reproducing kernel particle, shape function

中图分类号:  (Function theory, analysis)

  • 02.30.-f
02.60.Cb (Numerical simulation; solution of equations)