A moving Kriging interpolation-based boundary node method for two-dimensional potential problems

作者：Li Xing Guo; Dai Bao Dong^*; Wang Ling Hui

来源：Chinese Physics B, 2010, 19(12): 120202.

DOI：10.1088/1674-1056/19/12/120202

• meshfree method
• moving Kriging interpolation method
• boundary integral equation
• boundary node method
• potential problem

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.

• 出版日期2010-12
• 单位太原科技大学