| 基于紧支径向基函数的配点型无网格法 |
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| 引用本文： | 钱向东.基于紧支径向基函数的配点型无网格法[J].河海大学学报(自然科学版),2001,29(1):96-98. |
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| 作者姓名： | 钱向东 |
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| 作者单位： | 河海大学土木工程学院, |
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| 摘 要： | 介绍基于紧支径向基函数的配点型无网格法，此方法无需背景积分网格，是一种真正的无网格法，且能克服全域性径向基函数所导致的系数矩阵为非带状满阵的缺点，通过对Poisson方程的求解，探讨配点密度和紧支域大小对解精度的影响。
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| 关 键 词： | 无网格法 紧支径向基函数 配点法 POISSON方程 |
| 文章编号： | 1000-1980(2001)01-0096-03 |
| 修稿时间： | 1999年10月10 |
A Meshless Method with Compactly Supported Radial Basis Functions |
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| QIAN Xiang-dong.A Meshless Method with Compactly Supported Radial Basis Functions[J].Journal of Hohai University (Natural Sciences ),2001,29(1):96-98. |
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| Authors: | QIAN Xiang-dong |
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| Abstract: | A collocation method based on compactly supported radial basis function , a meshless method ,is presented in this paper, in which the background cells for integration are not needed , and the formed system matrix is banded and sparse. The numerical solutions to a Poisson equation using this method show that the computational accuracy is influenced by the density of the collocation points and the radius of the compactly supported domain. |
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| Keywords: | meshless method compactly supported radial basis function collocation poisson equation |
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