| 耦合径向基函数与多项式基函数的无网格方法 |
| |
| 引用本文： | 曾清红,卢德唐. 耦合径向基函数与多项式基函数的无网格方法[J]. 计算物理, 2005, 22(1): 43-50 |
| |
| 作者姓名： | 曾清红 卢德唐 |
| |
| 作者单位： | 中国科学技术大学,力学与机械工程系,安徽,合肥,230027;中国科学技术大学,力学与机械工程系,安徽,合肥,230027 |
| |
| 基金项目： | 国家自然科学基金(10102020)，国家973(G1999032805)资助项目 |
| |
| 摘 要： | 耦合径向基函数和多项式基函数,形成一种新的近似函数.该近似函数对散乱分布的离散数据点进行逼近时,只需节点信息,不需要划分网格.详细描述了耦合近似函数的建立、属性、插值行为及其形函数和形函数导数的性质.最后引入修正变分原理和单位分解积分技术求解边值问题,并给出了计算实例,表明耦合径向基函数和多项式基函数是一种非常有效的方法.
|
| 关 键 词： | 径向基函数 多项式基函数 无网格方法 伽辽金方法 单位分解积分 |
| 文章编号： | 1001-246X(2005)01-0043-09 |
| 收稿时间： | 2003-09-25 |
| 修稿时间： | 2003-09-25 |
A Meshless Method Based on Coupled Radial and Polynomial Basis Functions |
| |
| ZENG Qing-hong,LU De-tang. A Meshless Method Based on Coupled Radial and Polynomial Basis Functions[J]. Chinese Journal of Computational Physics, 2005, 22(1): 43-50 |
| |
| Authors: | ZENG Qing-hong LU De-tang |
| |
| Affiliation: | Department of Mechanics and Mechanic Engineering, University of Science and Technology of China, Hefei 230027, China |
| |
| Abstract: | A new approximate method based on coupled radial basis functions and polynomial basis functions is presented.Only nodes information is needed when this method is used for interpolation over a set of discrete nodes,the background mesh is totally unnecessary.The establishment,properties,interpolation behaviors of approximate functions,the shape functions and their derivatives are described in detail.The modified variation principle and partition of unity quadrature are employed with coupled approximate function to solve boundary value problems. Numerical examples show excellent agreement with exact solutions. |
| |
| Keywords: | radial basis functions polynomial basis functions meshless method Galerkin method partition of unity quadrature |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《计算物理》浏览原始摘要信息 |
|
点击此处可从《计算物理》下载全文 |
