中国物理B ›› 2010, Vol. 19 ›› Issue (12): 120202-120202.doi: 10.1088/1674-1056/19/12/120202

• GENERAL • 上一篇    下一篇

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

李兴国, 戴保东, 王灵卉   

  1. Department of Engineering Mechanics, Taiyuan University of Science & Technology, Taiyuan 030024, China
  • 收稿日期:2010-06-28 修回日期:2010-08-05 出版日期:2010-12-15 发布日期:2010-12-15
  • 基金资助:
    Project supported by the Young Scientists Fund of the National Natural Science Foundation of China (Grant No. 10902076), the Natural Science Foundation of Shanxi Province of China (Grant No. 2007011009), the Scientific Research and Development Program of the Shanxi Higher Education Institutions (Grant No. 20091131), and the Doctoral Startup Foundation of Taiyuan University of Science and Technology (Grant No. 200708).

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

Li Xing-Guo(李兴国), Dai Bao-Dong(戴保东)† , and Wang Ling-Hui(王灵卉)   

  1. Department of Engineering Mechanics, Taiyuan University of Science & Technology, Taiyuan 030024, China
  • Received:2010-06-28 Revised:2010-08-05 Online:2010-12-15 Published:2010-12-15
  • Supported by:
    Project supported by the Young Scientists Fund of the National Natural Science Foundation of China (Grant No. 10902076), the Natural Science Foundation of Shanxi Province of China (Grant No. 2007011009), the Scientific Research and Development Program of the Shanxi Higher Education Institutions (Grant No. 20091131), and the Doctoral Startup Foundation of Taiyuan University of Science and Technology (Grant No. 200708).

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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.

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.

Key words: meshfree method, moving Kriging interpolation method, boundary integral equation, boundary node method, potential problem

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  • 0260