| 无网格法计算误差分析 |
| |
| 引用本文： | 苗雨,王元汉,蒋和洋.无网格法计算误差分析[J].华中科技大学学报(自然科学版),2005,33(1):99-101. |
| |
| 作者姓名： | 苗雨 王元汉 蒋和洋 |
| |
| 作者单位： | 华中科技大学,土木工程与力学学院,湖北,武汉,430074;北京工业大学,建筑工程学院,北京,100081 |
| |
| 基金项目： | 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 ) . |
| |
| 摘 要： | 探讨了无网格法中形函数的性态及对计算结果的影响 ,讨论了无网格法产生误差的原因 .主要分析了无网格伽辽金法 (EFGM )节点不良分布以及采用一般高次多项式基构造形函数时 ,致使形函数中矩阵A(X)病态 ,从而导致全局数值解振荡的原因 .就不同的基函数对插值函数及无网格法的计算精度的影响作了分析比较 ,得出了基函数的选取标准 ,算例说明使用三次基函数计算精度最高 .
|
| 关 键 词： | 无网格法 数值振荡 罚函数法 误差 |
| 文章编号： | 1671-4512(2005)01-0099-03 |
| 修稿时间： | 2004年2月13日 |
Error analysis with the meshless method |
| |
| MIAO Yu,Wang Yuanhan,Jiang Heyang.Error analysis with the meshless method[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,2005,33(1):99-101. |
| |
| Authors: | MIAO Yu Wang Yuanhan Jiang Heyang |
| |
| Institution: | Miao Yu Wang Yuanhan Jiang Heyang Miao Yu Doctoral Candidate, College of Civil Eng. & Mech., Huazhong Univ. of Sci. & Tech.,Wuhan 430074,China. |
| |
| Abstract: | 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. |
| |
| Keywords: | meshless method numerical oscillation penal function method error |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
