A moving Kriging interpolation-based boundary node method for two-dimensional potential problems |
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Authors: | Li Xing-Guo Dai Bao-Dong Wang Ling-Hui |
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Affiliation: | Department of Engineering Mechanics, Taiyuan University of Science & Technology, Taiyuan 030024, China |
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Abstract: | In this paper, a meshfree boundary integral equation (BIE) method, called the moving Kriging interpolation-based boundary node method (MKIBNM), is developed for solving two-dimensional potential problems. This study combines the BIE method with the moving Kriging interpolation to present a boundary-type meshfree method, and the corresponding formulae of the MKIBNM are derived. In the present method, the moving Kriging interpolation is applied instead of the traditional moving least-square approximation to overcome Kronecker's delta property, then the boundary conditions can be imposed directly and easily. To verify the accuracy and stability of the present formulation, three selected numerical examples are presented to demonstrate the efficiency of MKIBNM numerically. |
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Keywords: | meshfree method moving Kriging interpolation method boundary integral equation boundary node method potential problem |
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