Piapiao Peng

Dr. Piapiao Peng


Research Focus & Metrics

Academic Career Length

4Years (2023-Present)

(Calculated once Scilit publication data is synced: current year − year of first publication + 1)

Representative Publications

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5 September 2023 in International Journal of Applied Mechanics
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Journal Article
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PPPiapiao Peng
Piapiao Peng
HCHeng Cheng
Heng Cheng
Yumin ChengYumin Cheng
Yumin Cheng

19 June 2024 in Mathematics
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Journal Article
Open access
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PPPiapiao Peng
Piapiao Peng
NWNing Wang
Ning Wang
Yumin ChengYumin Cheng
Yumin Cheng
The reproducing kernel particle method (RKPM) is one of the most universal meshless methods. However, when solving three-dimensional (3D) problems, the computational efficiency is relatively low because of the complexity of the shape function. To overcome this disadvantage, in this study, we introduced the dimension splitting method into the RKPM to present a hybrid reproducing kernel particle method (HRKPM), and the 3D Helmholtz equation is solved. The 3D Helmholtz equation is transformed into a series of related two-dimensional (2D) ones, in which the 2D RKPM shape function is used, and the Galerkin weak form of these 2D problems is applied to obtain the discretized equations. In the dimension-splitting direction, the difference method is used to combine the discretized equations in all 2D domains. Three example problems are given to illustrate the performance of the HRKPM. Moreover, the numerical results show that the HRKPM can improve the computational efficiency of the RKPM significantly.