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《Journal of Huazhong University of Science and Technology》 2005-01
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Error analysis with the meshless method

Miao Yu Wang Yuanhan Jiang Heyang Miao Yu Doctoral Candidate; College of Civil Eng. & Mech.; Huazhong Univ. of Sci. & Tech. , Wuhan 430074, China.  
The properties and characteristics of the shape functions in meshless method and their influence on the numerical results were dealt with. The reasons why the error appeared in this method were discussed. It was showed that the shape matrix A ( X ) was ill conditioned when Element Free Galerkin method (EFGM) used high order polynomial basis and the nodes were ill distributed. The influence of different basic functions on the interpolation functions and the computed accuracy were analyzed and compared. Based on the above analysis, the criterion for choosing the basis function was obtained. The numerical examples were given to show that the highest accuracy can be achieved by using cubic basis function.
【Fund】: 北京市自然科学基金资助项目 (30 330 12 ) ;; 中国科学院岩土力学重点实验室资助项目 (Z110 2 0 2 ) .
【CateGory Index】: O241.1
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