| 新型滑动最小二乘技术的实现及其在无网格法中应用 |
| |
| 引用本文： | 张延军,王恩志. 新型滑动最小二乘技术的实现及其在无网格法中应用[J]. 岩石力学与工程学报, 2006, 25(Z1): 3003-3008 |
| |
| 作者姓名： | 张延军 王恩志 |
| |
| 作者单位： | 1. 吉林大学,建设工程学院,吉林,长春,130026
2. 清华大学,水利水电工程系,北京,100084 |
| |
| 基金项目： | 国家自然科学基金;中国博士后科学基金;吉林大学校科研和教改项目 |
| |
| 摘 要： | 无网格法是一种求解偏微分方程的有力工具,该技术具有局部化技术的无单元特性。在各种无网格法中,场函数近似采用滑动最小二乘最为常见,其在精度和前后处理等方面有着明显的计算优势。全面介绍各种滑动最小二乘近似技术和插值特点,尤其是基于奇异权函数的滑动最小二乘插值技术,并应用到无网格法中,可以自然满足Dirichlet条件,从而可以省去Lagrange乘子;同时对一、二维算例进行计算,将其结果与精确解和经典的FEM解进行比较。
|
| 关 键 词： | 数值方法 奇异权函数MLS插值 形函数 无网格法 计算对比 |
| 文章编号： | 1000-6915(2006)增1-3003-06 |
| 修稿时间： | 2005-06-03 |
NEW IMPLEMENT OF MOVING LEAST-SQUARE TECHNOLOGY AND ITS APPLICATION IN MESHLESS METHOD |
| |
| ZHANG Yanjun,WANG Enzhi. NEW IMPLEMENT OF MOVING LEAST-SQUARE TECHNOLOGY AND ITS APPLICATION IN MESHLESS METHOD[J]. Chinese Journal of Rock Mechanics and Engineering, 2006, 25(Z1): 3003-3008 |
| |
| Authors: | ZHANG Yanjun WANG Enzhi |
| |
| Abstract: | Meshless method is one kind of powerful tool for numerical solutions of partial differential equations(PDEs),and it has local technique and element-free characteristics.Among the meshless methods,moving least-square approximation is most common in constructing the shape function.The meshless method has more computation advantages in such respects as accuracy and pre-processing,post-processing,etc..The paper introduces in detail the MLS technology and the interpolation characteristics,especially the MLS interpolation of singular weighted function.The Dirichlet boundary conditions are met through the use of a set of IMLS.Thus the Lagrange multipliers are eliminated.The validity,accuracy and efficiency of the method are demonstrated by comparing the results from IMLS with closed-form ones and the ones from FEM in 1D,2D examples. |
| |
| Keywords: | numerical method interpolation MLS of singular weighted function shape function meshless method calculation comparison |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
