A moving Kriging interpolation-based boundary node method for two-dimensional elesticity problems
The boundary node method (BNM) is a boundary only meshfree method that combines the moving least-squares (MLS) interpolation scheme with the standard boundary integral equations (BIE). This method exploits the dimensionality of BIEs and the meshless attribute of the MLS. However drawbacks of the usual BNM, based on MLS interpolants, are that it typically requires much more computer time than the usual boundary element method (BEM), and sometimes forms ill-conditioned final algebra equations. In order to eliminate the shortcomings of theMLS shape functions, combining the BIE method with the moving Kriging interpolation, which has the Kronecker delta function and consistency property, the moving Kriging interpolation-based boundary node method (MKIBNM) was developed and applied to two-dimensional elesticity problems. In the present method, the moving Kriging interpolation is applied instead of the traditional moving least-square approximation for overcoming Kronecker’s delta property, then the boundary conditions can be imposed directly and easily. The performance of this method is illustrated and assessed through some numerical examples.
meshfree method moving Kriging interpolation method boundary integral equation boundary node method elasticity problem
X. G. Li B. D. Dai
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University , Shanghai 200072, Chin Department of Engineering Mechanics, Taiyuan University of Science ＆Technology, Taiyuan, China
国际会议
长沙
英文
1-10
2012-05-18（万方平台首次上网日期，不代表论文的发表时间）