Meshless method based on collocation with consistent compactly supported radial basis functions |
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Authors: | Song Kangzu Zhang Xiong Lu Mingwan |
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Institution: | (1) Department of Enginering Mechanics, Tsinghua University, 100084 Beijing, China |
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Abstract: | Based on our previously study, the accuracy of derivatives of interpolating functions are usually very poor near the boundary
of domain when Compactly Supported Radial Basis Functions (CSRBFs) are used, so that it could result in significant error
in solving partial differential equations with Neumann boundary conditions. To overcome this drawback, the Consistent Compactly
Supported Radial Basis Functions (CCSRBFs) are developed, which satisfy the predetermined consistency conditions. Meshless
method based on point collocation with CCSRBFs is developed for solving partial differential equations. Numerical studies
show that the proposed method improves the accuracy of approximation significantly.
The project supported by the National Natural Science Foundation of China (10172052) |
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Keywords: | radial basis function collocation meshless |
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