中国物理B ›› 2010, Vol. 19 ›› Issue (12): 120202-120202.doi: 10.1088/1674-1056/19/12/120202
李兴国, 戴保东, 王灵卉
Li Xing-Guo(李兴国), Dai Bao-Dong(戴保东)† , and Wang Ling-Hui(王灵卉)
摘要: 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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