The choosing of reproducing kernel particle shape function with mathematic proof |
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| Authors: | Xia Mao-Hui and Li Jin |
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| Affiliation: | College of Science, Yanshan University, Qinhuangdao 066004, China |
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| 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. |
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| Keywords: | point of interpolation particle reproducing kernel particle shape function |
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